From 98ba404a5cde56ca6aa7c2461f304b44ce8ba86b Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Wed, 13 Dec 2023 15:27:51 +0100 Subject: [PATCH 1/9] first chunk of miden docs --- .vscode/settings.json | 5 + .../account/Account_Definition.png | Bin 0 -> 71848 bytes .../architecture/asset/Asset_Issuance.png | Bin 0 -> 185382 bytes .../architecture/asset/Asset_Storage.png | Bin 0 -> 249290 bytes .../miden/architecture/execution/Block.png | Bin 0 -> 89960 bytes .../architecture/execution/Execution.png | Bin 0 -> 110796 bytes .../miden_architecture_core_concepts.gif | Bin 0 -> 179324 bytes .../miden_architecture_state_progress.gif | Bin 0 -> 225808 bytes docs/img/miden/architecture/note/Note.png | Bin 0 -> 14147 bytes .../img/miden/architecture/note/Nullifier.png | Bin 0 -> 156795 bytes .../miden/architecture/state/Account_DB.png | Bin 0 -> 149948 bytes docs/img/miden/architecture/state/Note_DB.png | Bin 0 -> 69744 bytes .../miden/architecture/state/Nullifier_DB.png | Bin 0 -> 179832 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z!82hGxGhE#{CR9#@F?MV?Unom&)6BMJ3S#pcrW(}Rg1Q*Rxje=Xs4I%I-bunp=@5vKNyc_vn<+}Ay literal 0 HcmV?d00001 diff --git a/docs/miden/architecture/accounts.md b/docs/miden/architecture/accounts.md new file mode 100644 index 000000000..6ca32d8a8 --- /dev/null +++ b/docs/miden/architecture/accounts.md @@ -0,0 +1,83 @@ +# Accounts +Miden aims to support expressive smart contracts via a Turing-complete language. For smart contracts the go-to solution is account-based state. In Miden, an account is an entity which holds assets and defines rules of how these assets can be transferred. They are basic building blocks representing a user or an autonomous smart contract. + +## Account Design +The diagram below illustrates basic components of an account. In Miden every account is a smart contract. + +

+ +

+ +In the above picture, you can see: + +* **Account ID →** a unique identifier of an account which does not change throughout its lifetime +* **Storage →** user-defined data which can be stored in an account +* **Nonce →** a counter which must be incremented whenever the account state changes +* **Vault →** a collection of assets stored in an account +* **Code →** a collection of functions which define the external interface for an account + +### Account ID +~63 bits (1 field element) long identifier for the account. The four most significant bits specify its [account type](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html#account-types) - regular, immutable, faucet - and the [storage mode](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html#account-storage-modes) - public or private. + +### Account Storage +Storage for user-defined data. `AccountStorage` is composed of two components. + +The first component is a simple sparse Merkle tree of depth `8` which is index addressable. This provides the user with `256` `Word` slots. + +Users requiring additional storage can use the second component a `MerkleStore`. It allows users to store any Merkle structures they need. The root of the Merkle structure can be stored as a leaf in a simple sparse Merkle tree. When `AccountStorage` is serialized it will check if any of the leafs in the simple sparse Merkle tree are Merkle roots of other Merkle structures. If any Merkle roots are found then the Merkle structures will be persisted in the `AccountStorage` `MerkleStore`. + +### Nonce +Counter which must be incremented whenever the account state changes. Nonce values must be strictly monotonically increasing and can be incremented by any value smaller than 2^{32} for every account update. + +### Vault +Asset container for an account. + +An account vault can contain an unlimited number of [assets](https://0xpolygonmiden.github.io/miden-base/architecture/assets.html). The assets are stored in a sparse +Merkle tree as follows: + +* For fungible assets, the index of a node is defined by the issuing faucet ID, and the value + of the node is the asset itself. Thus, for any fungible asset there will be only one node + in the tree. +* For non-fungible assets, the index is defined by the asset itself, and the asset is also + the value of the node. + +An account vault can be reduced to a single hash which is the root of the sparse Merkle tree. + +### Code +Interface for accounts. In Miden every account is a smart contract. It has an interface that exposes functions that can be called by note scripts. Functions exposed by the account have the following properties: + +* Functions are actually roots of [Miden program MASTs](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html) (i.e., a 32-byte hash). Thus, function identifier is a commitment to the code which is executed when a function is invoked. +* Only account functions have mutable access to an account's storage and vault. Therefore, the only way to modify an account's internal state is through one of the account's functions. +* Account functions can take parameters and can create new notes. + +*Note: Since code in Miden is expresed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change. Behind any MAST root there can only be `256` functions* + +## Account creation +For an account to exist it must be present in the [Account DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#account-database) kept by the Miden Node(s). However, new accounts can be created locally by users using a wallet. + +The process is as follows: + +* Alice grinds a new Account ID (according to the account types) using a wallet +* Alice's Miden Client requests the Miden Node to check if new Account ID already exists +* Alice shares the new Account ID to Bob (eg. when Alice wants to receive funds) +* Bob executes a transaction and creates a note that contains an asset for Alice +* Alice consumes Bob's note to receive the asset in a transaction +* Depending on the account storage mode (private vs. public) and transaction type (local vs. network) the Operator receives the new Account ID eventually and - if the transaction is correct - adds the ID to the Account DB + + +## Account types +There are four types of accounts in Miden: + +| | Regular updatable account | Regular immutable account | Faucet for fungible assets | Faucet for non-fungible assets | +|---|---|---|---|---| +| **Description** | For most users, e.g. a wallet. Code changes allowed, including public API. | For most smart contracts. Once deployed code is immutable. | Users can issue fungible assets and customize them. | Users can issue non-fungible assets and customize them. | +| **Code updatability** | yes | no | no | no | +| **Most significant bits** | `00` | `01` | `10` | `11` | + +## Account storage mode +Account data - stored by the Miden Node - can be public, private, or encrypted. The third and fourth most significant bits of the account ID specifies whether the account data is public `00`, encrypted `01`, or private `11`. + +* Accounts with **public state**, where the actual state is stored onchain. These would be similar to how accounts work in public blockchains. Smart contracts that depend on public shared state should be stored public on Miden, e.g., DEX contract. +* Accounts with **private state**, where only the hash of the account is stored onchain. Users who want stay private and take care of their own data should choose this mode. The hash is defined as: `hash([account ID, 0, 0, nonce], [vault root], [storage root], [code root])`. + +In the future we will also support **encrypted state** which will be onchain but encrypted. * Depending on the account storage mode (private vs. encrypted vs. public) and transaction type (local vs. network) the operator receives the new Account ID eventually and - if the transaction is correct - adds the ID to the Account DB diff --git a/docs/miden/architecture/architecture.md b/docs/miden/architecture/architecture.md new file mode 100644 index 000000000..06252bfde --- /dev/null +++ b/docs/miden/architecture/architecture.md @@ -0,0 +1,61 @@ +# Architecture +The Polygon Miden Architecture decribes the concepts of how the participants of the network can interact. + +The architecture reflects the design goals for the rollup: + +* **High throughput** +* **Privacy** +* **Asset safety** + +## Inspired by the Actor model +The [Actor Model](https://en.wikipedia.org/wiki/Actor_model) inspired Miden to achieve concurrent and local state changes. In the model, actors are little state machines with inboxes, meaning each actor is responsible for their own state. Actors can send and receive messages to communicate with other actors. Messages can be read asynchronously. + +## Core Concepts in Miden +In Miden, there are accounts and notes which can hold assets. Accounts consume and produce notes in transactions. Transactions describe account state changes of single accounts. + +### Accounts +[Accounts](./architecture/accounts) can hold assets and define rules how assets can be transferred. Accounts can represent users or autonomous smart contracts. This chapter describes the design, the storage types, and the creation of an account. + +### Notes +[Notes](./architecture/notes) are messages that accounts send to each other. A note stores assets and a script that defines how this note can be consumed. This chapter describes the design, the storage types, and the creation of a note. + +### Assets +[Assets](./architecture/assets) can be fungible and non-fungible. They are stored in the owner’s account itself or in a note. This chapter describes asset issuance, customization, and storage. + +### Transactions +[Transactions](./architecture/transactions) describe production and consumption of notes by a single account. Executing a transaction always results in a STARK proof. This chapter describes the transaction design and the different transaction types. + +#### Accounts produce and consume notes to communicate +

+ +

+ +## State and Execution +The state model captures all individual states of all accounts and notes. Finally, the execution model describes state progress in a sequence of blocks. + +### State model +[State](./architecture/state) describes everything that is the case at a certain point in time. Individual states of accounts or notes can be stored onchain and offchain. This chapter describes the three different state databases in Miden. + +### Execution model +[Execution](./architecture/execution) describes how the state progresses - on an individual level via transactions and at the global level expressed as aggregated state updates in blocks. This chapter describes the execution model and how blocks are built. + +#### Operators capture and progress state +

+ +

+ +# Architecture tradeoffs +
+ Want to know more on why we designed Miden as is? + + ### Polygon Miden's architecture + Polygon Miden’s architecture departs considerably from typical blockchain designs to support privacy and parallel transaction exection. In traditional blockchains state and transactions must be transparent to be verifiable. This is necessary for block production and execution. User generated zero-knowledge proofs allow state transitions, e.g. transactions, to be verifiable without being transparent. + + ### Actor-based execution model + The actor model inspires Polygon Miden’s execution model. This is a well-known design paradigm in concurrent systems. In the actor model, actors are state machines responsible for maintaining their own state. In the context of Polygon Miden, each account is an actor. Actors communicate with each other by exchanging messages asynchronously. One actor can send a message to another, but it is up to the recipient to apply the requested change to their state. + + Polygon Miden’s architecture takes the actor model further and combines it with zero-knowledge proofs. Now, actors not only maintain and update their own state, but they can also prove the validity of their own state transitions to the rest of the network. This ability to independently prove state transitions enables local smart contract execution, private smart contracts, and much more. And it is quite unique in the rollup space. Normally only centralized entities - sequencer or prover - create zero-knowledge proofs, not the users. + + ### Hybrid state model + The actor-based execution model requires a radically different approach to recording the system's state. Actors and the messages they exchange must be treated as first-class citizens. Polygon Miden addresses this by combining the state models of account-based systems like Ethereum and UTXO-based systems like Bitcoin and Zcash. +
\ No newline at end of file diff --git a/docs/miden/architecture/assets.md b/docs/miden/architecture/assets.md new file mode 100644 index 000000000..7a0d50da8 --- /dev/null +++ b/docs/miden/architecture/assets.md @@ -0,0 +1,53 @@ +# Assets +In Miden, users can create and trade arbitrary fungible and non-fungible assets. + +We differentiate between native and non-native assets in Miden. Native assets follow the Miden asset model. Non-native assets are all other data structures of value that can be exchanged. + +Recording of native assets in Polygon Miden suffices four goals: + +* Asset exchange should be parallelizable +* Asset ownership should be private +* Asset usage should be indeed censorship resistant +* Fees can be paid using any asset + +All native assets in Miden are stored directly in accounts, like Ether in Ethereum. Miden does not track ownership of assets using global hashmaps, e.g., ERC20 contracts. Storage of assets locally in accounts provides privacy and the ability for client-side proofs. That is because ownership changes always involve only one account and not the change of a global hashmap. Thus, they can happen in parallel. Additionally, asset exchange is censorship resistant at this level because there is no global contract the transfer must pass through. Finally, users can pay fees in any asset. + +## Native assets +Native assets are data structures that follow the Miden asset model (encoding, issuance, storing). All native assets are encoded using a single `Word` (4 field elements). The asset encodes both the ID of the issuing account and the asset details. Having the issuer's ID encoded in the asset makes it cost-efficient to determine the type of an asset inside and outside Miden VM. And, representing the asset in a `Word` means the representation is always a commitment to the asset data itself. That is particularly interesting for non-fungible assets. + +### Issuance +Only specialized accounts called faucets can issue assets. Just like with regular accounts, anyone can create a faucet account. Faucets can issue only either fungible or non-fungible assets - but not both. The `faucet_id` identifies the faucet and is starts with a different sequence depending on the asset type, see [here](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html#account-id). The faucet's code defines rules for how assets can be minted, who can mint them etc. Conceptually, faucet accounts on Miden are similar to ERC20 contracts on Ethereum. But, there is no ownership tracking in Miden faucets. + +Faucets can create assets and immediately distribute them by producing notes. However, assets can also stay in the faucet after creation to be sent later, e.g., in a bundle. That way, one can mint a million NFTs locally in a single transaction and then send them out as needed in separate transactions in the future. + +

+ +

+ +### Fungible assets +A fungible asset is encoded using the amount and the `faucet_id` of the faucet which issued the asset. The amount is guaranteed to be $2^{63} - 1$ or smaller, the maximum supply for any fungible asset. Examples of fungible assets are ETH and stablecoins, e.g., DAI, USDT, and USDC. + +If the `faucet_id` of MATIC were to be `2`, 100 MATIC are encoded as `[100, 0, 0, 2]` - whereas the `0`s in the middle help to quickly distinguish between fungible and non-fungible assets. + +### Non-fungible assets +A non-fungible asset is encoded by hashing the asset data into a `Word` and then replacing the second element with the `faucet_id` of the issuing account. It looks like `[e0, faucet_id, e2, e3]`. Note that the second element is guaranteed to be non-Zero. + +Examples of non-fungible assets are all NFTs, e.g., a DevCon ticket. The ticket's data might be represented in a JSON string - which DevCon, the date, the initial price, etc. . Now, users can create a faucet for non-fungible DevCon tickets. This DevCon faucet would hash the JSON string into a `Word` to transform the ticket into an asset. + +### Storage +[Accounts](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html) and [notes](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html) contain asset vaults that are used to store assets. Accounts can keep unlimited assets in a [tiered sparse Merkle tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html) called `account vault`. Notes can only store up to `255` distinct assets. + +

+ +

+ +The information on which and how many assets are owned can be private depending on the account's storage mode or the note. This is true for any native asset in Miden. + +## Non-native assets +Miden is flexible enough to create other types of assets as well. + +For example, developers can fully replicate Ethereum's ERC20 model, where ownership of fungible assets is recorded in a single account. To transact, users must send a note to that account to change the global hashmap. + +Furthermore, a complete account can be treated as a programmable asset because ownership of accounts is transferrable. An account could be a "crypto kitty" with specific attributes and rules, and people can trade these "crypto kitties" by transferring accounts between each other. + +We can also think of an account representing a car. The owner of the car can change so the car account - granting access to the physical car - can be treated as an asset. In this car account, there could be rules defining who is allowed to drive the car and when. diff --git a/docs/miden/architecture/execution.md b/docs/miden/architecture/execution.md new file mode 100644 index 000000000..299296824 --- /dev/null +++ b/docs/miden/architecture/execution.md @@ -0,0 +1,54 @@ +# Execution Model + +Polygon Miden is an Ethereum Rollup. It batches transactions - or more precisely, proofs thereof - that happen together in the same time period into a block. The Execution Model describes how the state progresses on **an individual level via transactions** and **at the global level expressed as aggregated state updates in blocks**. + +

+ +

+ +## Transaction Execution + +Every transaction will result in a ZK proof that attests to its correctness. + +As mentioned in [transactions](https://0xpolygonmiden.github.io/miden-base/architecture/transactions.html#local-vs-network-transactions), there are two types of transactions: local and network. For every transaction there is a proof which is either created by the user in the Miden Client or by the Operator using the Miden Node. + +## Transaction Batching +To reduce the required space on the Ethereum blockchain, transaction proofs are aggregated into batches. This can happen in parallel by different machines that need to verify several proofs using the Miden VM and thus creating a proof. Verifying a STARK proof within the VM is relatively efficient but it is still a pretty costly operation (we aim for 216 cycles). + +## Block Production +Several batch proofs are being aggregated together into one block. This can not happen in parallel and must be done by the Miden Operator running the Miden Node. The idea is the same, using recursive verification. + +## State progress +At the beginning, Miden will have a centralized Operator running a Miden Node. + +Users will send either transaction proofs (using local execution) or transaction data (for network execution) to the Miden Node. Later on, the Miden Node will use recursive verification to aggregate transaction proofs into batches. + +Batch proofs are aggregated into blocks by the Miden Node. The blocks are then sent to Ethereum, and once a block is added to the L1 chain, the rollup chain is believed to have progressed to the next state. + +A block produced by the Miden Node looks somewhat like this: + +

+ +

+ +* **state updates** contain only the hashes of changes. For example, for each account which was updated, we record a tuple `([account id], [new account hash])`. +* The included **zk proof** attests that given a state commitment from the previous block, there was a sequence of valid transactions executed that resulted in the new state commitment, and also output included state updates. +* The block also contains full account and note data for public accounts and notes. For example, if account `123` is a public account which was updated, in the *state updates* section we'd have a records for it as `(123, 0x456..)`. The full new state of this account (which should hash to `0x456..`) would be included in a separate section. + +To verify that a block describes a valid state transition, we do the following: +1. Compute hashes of public account and note states. +2. Make sure these hashes match records in the *state updates* section. +3. Verify the included ZKP against the following public inputs: + - State commitment from the previous block. + - State commitment from the current block. + - State updates from the current block. + +The above can be performed by a verifier contract on Ethereum L1. + +This structure has another nice property. It is very easy for a new node to sync up to the current state from genesis. The new node would need to do the following: +1. Download only the first part of the blocks (i.e., without full account/note states) starting at the genesis up until the latest block. +2. Verify all ZKPs in the downloaded blocks. This will be super quick (exponentially faster than re-executing original transactions) and can also be done in parallel. +3. Download the current states of account, note, and nullifier databases. +4. Verify that the downloaded current state matches the state commitment in the latest block. + +Overall, state sync is dominated by the time needed to download the data. diff --git a/docs/miden/architecture/notes.md b/docs/miden/architecture/notes.md new file mode 100644 index 000000000..638a7b104 --- /dev/null +++ b/docs/miden/architecture/notes.md @@ -0,0 +1,82 @@ +# Notes +Miden aims to achieve parallel transaction execution and privacy. The UTXO-model combined with client-side proofs provide those features. In Miden, an note is a way of transferring assets between accounts. Notes can be consumed and produced asynchronously and privately. + +## Note design +The diagram below illustrates the contents of a note: + +

+ +

+ +As shown in the above picture: +* **Vault →** a set of assets that are stored in note +* **Script →** it must be executed in a context of some account to claim the assets +* **Inputs →** these are placed onto the stack before a note's script is executed +* **Serial number →** a note's unique identifier + +### Vault +Asset container for a note. A note vault can contain up to `255` assets stored in an array. The entire vault can be reduced to a single hash which is computed by sequentially hashing the list of the vault's assets. + +### Script +Unlike an account, a note has a single executable script. This script will be executed in a [transaction](https://0xpolygonmiden.github.io/miden-base/architecture/transactions.html). This script is also the root of a [Miden program MAST](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html). A script is always executed in the context of a single account, and thus, may invoke account's functions. A note's script can call zero or more of an account's function. + +*Note: Since code in Miden is expresed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change.* + +### Inputs +A note script can take parameters (passed via the stack) as inputs. + +### Serial number +A note's unique serial number identifies the note and this is needed to create the note's hash and nullifier. The serial number is used to break linkability between note hash and note nullifier. + +## Note metadata +For every note the Miden Operator stores metadata in the Note DB. This metadata includes: + +* A **user-defined tag** as a means to quickly grab all notes for a certain application or use case. +* A **sender** to be able to provide also ERC20 contract functionality. +* The **number of assets** contained in the note. + +## Note storage modes +Similar to accounts, there are two storage modes for notes in Miden. Notes can be stored privately in the [Notes DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#notes-database) with only the note hash. Or notes can be stored publicly with all data. + +Privately stored notes can only be consumed if the note data is known to the consumer. That means, there must be some offchain communication to transmit the note's data from the sender to the receipient. + +## Note hash +The note hash is computed as: + +`hash(hash(hash(hash(serial_num, [0; 4]), script_hash), input_hash), vault_hash)` + +This achieves the following properties: +- Every note can be reduced to a single unique hash. +- To compute a note's hash, we do not need to know the note's `serial_num`. Knowing the hash + of the `serial_num` (as well as `script_hash`, `input_hash` and `note_vault`) is sufficient. +- Moreover, we define `recipient` as: `hash(hash(hash(serial_num, [0; 4]), script_hash), input_hash)`. This allows computing the note hash from recipient and note vault. +- We compute the hash of `serial_num` as `hash(serial_num, [0; 4])` to simplify processing within +the VM. + +## Note nullifier +The nullifier is the note's index in the [Nullifier DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#nullifier-database). The Nullifier DB stores the information whether a note was already consumed. + +The nullifier is computed as `hash(serial_num, script_hash, input_hash, vault_hash)`. + +This achieves the following properties: +- Every note can be reduced to a single unique nullifier. +- We cannot derive a note's hash from its nullifier. +- To compute the nullifier, we must know all components of the note: `serial_num`, `script_hash`, `input_hash`, and `vault_hash`. + +To know a note’s nullifier, one needs to know all details of the note. That means if a note is private and the operator stores only the note's hash, only those with the note details know if this note has been consumed already. Zcash first introduced this approach. + +

+ +

+ +## Note lifecycle +For a note to exist it must be present in the [Notes DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#notes-database) kept by the Miden Node(s). New notes are being produced when executing a transaction. They can be produced locally by users in local transactions or by the operator in a network transaction. + +The lifcycle of a note is as follows: +* A new note is produced when a transaction is executed - regardless of the transaction type +* Operator will receive the note hash and if the note is public, it'll also receive the corresponding note's data +* Operator verifies the correctness of the underlying transaction before adding the note hash to the Notes DB +* The note can now be consumed in a seperate transaction - to consume the note, the note's data must be known +* A note is consumed when the its nullifier in the [Nullifier DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#nullifier-database) is set to `1` +* Operator will receive the note's nullifier together with a transaction proof +* After successful verification, the Operator sets the corresponding entry in the Nullifier DB to `1` diff --git a/docs/miden/architecture/state.md b/docs/miden/architecture/state.md new file mode 100644 index 000000000..396da7a48 --- /dev/null +++ b/docs/miden/architecture/state.md @@ -0,0 +1,88 @@ +# State +The state of the Miden rollup describes the current condition of all accounts and note states. It describes what is currently the case. With its state model, using concurrent offchain state, Polygon Miden aims to realise private transactions, and execution and state bloat minimization. + +Privacy is realised from a UTXO-like state model consisting of notes and nullifiers combined with offchain execution using zero-knowledge proofs. Execution bloat happens when transactions get re-executed by all participants of the network. State bloat describes the ever growing state stored in blockchain nodes. Polygon Miden addresses these challenges via its state model that enables concurrent offchain execution and offchain storage. + +| | Minimize execution bloat | Minimize state bloat | +|---|---|---| +| **Result of** | Verfifying state by re-executing | Storing all data onchain as state | +| **Zero-knowledge helps with** | Transactions executed only once | No need to know full state to validate blocks | +| **Concurrent state model helps with** | Transactions executed concurrently by distinct actors | No need to kow full state to produce blocks | + + +## State components +The Miden Node(s) maintain three databases to describe the state: +1. A database of accounts. +2. A database of notes. +3. A database of nullifiers for already consumed notes. + +

+ +

+ +These databases are represented by authenticated data structures, such that we can easily prove that items were added to or removed from a database, and a commitment to the database would be very small. + +Polygon Miden has two databases to capture the note states. The note database is append-only and stores all notes permanently. The nullifier database stores nullifiers that indicate that a note has been previsously consumed. Separating note storage into these two databases gives Polygon Miden client-side proving and advanced privacy. + +### Account database +The latest account states - and data for onchain accounts - are recorded in a [tiered sparse Merkle tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html) which maps account IDs to account hashes and account data if needed. + +

+ +

+ +As described in [Accounts](http://localhost:3000/architecture/accounts.html#account-storage-modes), there are three types of accounts: +* **Public accounts** where all account data is stored onchain. +* **Encrypted accounts** where where the account data is stored onchain but in encrypted text. +* **Private accounts** where only the hashes of accounts are stored onchain. + +Private accounts significantly reduce the storage overhead for nodes. A private account contributes only $40$ bytes to the global state ($8$ bytes account ID + $32$ bytes account hash). Or, said another way, 1 billion private accounts takes up only $40$ GB of state. + + + +> Losing the state of a private account would mean loss of funds (as the user won't be able to execute transactions) in a similar manner as a loss of a private key would. This problem can be easily mitigated by storing encrypted account state in a cloud or backing it up somewhere else. Unlike storing private keys in the cloud, this does not compromise privacy or security of an account. + +### Note database +Notes are recorded in an append-only accumulator, a [Merkle Mountain Range](https://github.com/opentimestamps/opentimestamps-server/blob/master/doc/merkle-mountain-range.md). Each leaf is a block header which contains the commitment to all notes created in that block. The size of the Merkle Mountain Range grows logarithmically with the number of items in it. + +

+ +

+ +As described in [Notes](http://localhost:3000/architecture/notes.html#note-storage-modes), there are two types of [notes](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html): + +* **Public notes** where the entire note content is recorded in the state. +* **Private notes** where only a note's hash is recorded in the state. + +As with accounts, there is a strong incentive to use private notes as they result in lower fees. This is also beneficial to the network as a private note adds only $64$ bytes to the state ($32$ bytes when it is produced, and $32$ bytes when it is consumed). + +Using a Merkle Mountain Range (append-only accumulator) is important for two reasons: + +1. Membership witnesses (a note exists in the database) against such an accumulator needs to be updated very infrequently. +2. Old membership witnesses can be extended to be used with a new accumulator value, but this extension does not need to be done by the original witness holder. + +Both of these properties are needed for supporting local transactions using client-side proofs and privacy. In an append-only data structure, this witness data does not become stale when the data structure is updated. That means users can generate valid proofs even if they don’t have the latest state of this database, so there is no need to query the operator on a constantly changing state. + +However, the size of the note database does not grow indefinitely. Theoretically, at high tps, it would grow very quickly: at $1$K TPS there would be about $1$TB/year added to the database. But, only the unconsumed public notes and enough info to construct membership proofs against them need to be stored explicitly. Private notes, as well as public notes which have already been consumed, can be safely discarded. Such notes would still remain in the accumulator, but there is no need to store them explicitly as the append-only accumulator can be updated without knowing all items stored in it. This reduces actual storage requirements to a fraction of the database's nominal size. + +### Nullifier database +Nullifiers are stored in a [Tiered Sparse Merkle Tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html), which maps [Note Nullifiers](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#note-nullifier) to `0` or `1`. Nullifiers provide information on whether a specific note has been consumed yet. The database allows proving that a given nullifier is not in the database. + +

+ +

+ +To prove that a note has not been consumed previously, the operator needs to provide a Merkle path to its node, and then show that the value in that node is `0`. In our case nullifiers are $32$ bytes each, and thus, the height of the Sparse Merkle tree need to be $256$. + +To be able to add new nullifiers to the database, Operators needs to maintain the entire nullifier set. Otherwise, they would not be able to compute the new root of the tree. + +*Note: Nullifiers as constructed in Miden break linkability of privately stored notes and the information about the note's consumption. To know the [note's nullifier](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#note-nullifier) one must know the note's data. + +There will be one tree per epoch (~3 months), and Miden nodes always store trees for at least two epochs. However, the roots of the old trees are still stored. If a user wants to consume a note that is more than $6$ month old, there must be a merkle path provided to the Miden Node for verification. + +## State bloat minimization +Operators don’t need to know the entire state to verify or produce a new block. No operator is required to store the entire state. + +At its core, the idea is simple: Instead of storing the full state data with the operators, the users store their data, and the rollup only keeps track of commitments to the data. At least for private accounts, some smart contracts need to be publicly visible. This minimizes state bloat—as the operator doesn’t need to store an ever-growing database—and provides privacy because all other users and the operator only see a hash of other users’ data. + +That way the account and note databases can remain manageable, even at high usage for extended periods of time. diff --git a/docs/miden/architecture/transactions.md b/docs/miden/architecture/transactions.md new file mode 100644 index 000000000..9630883ad --- /dev/null +++ b/docs/miden/architecture/transactions.md @@ -0,0 +1,75 @@ +# Transactions +Asset transfers between accounts are done by executing transactions. Miden aims for parallel and private transaction execution. Therefore, a transaction is always performed against a single account which provides asynchronicity. And, every transaction causes a provable state-change and a STARK proof thereof. Thus, when executed locally, it provides privacy. + +## Transaction design +Transactions can be described as state-transition function T that takes an account and `0 to n` notes to map it to another version of that account and produces `0 to n` notes + +$ +T(A, \sum_{\substack{ + 0 \leq i < 1024 + }} + N(i))) \to (A', \sum_{\substack{ + 0 \leq j < 4096 + }} + N(j)) +$ +, where $ A \in { Accounts }$, $N \in { Notes }, 0 < i + j $ + +A transaction must include an executable program in addition to inputs and outputs. The transaction program has a well-defined structure and must perform the following functions: + +1. Create a uniform vault for all inputs. +2. Run scripts for all input notes (scripts are run one after the other). +3. Run a user-defined script if desired. +4. Create a uniform vault for all outputs. +5. Ensure that the assets in the unified input and output vaults are the same. + +### Transaction inputs and outputs +As inputs, a transaction accepts the state of one single account and up to `1023` notes for consumption. Optionally, it also takes a user defined script which is executed after all input notes have been consumed. The transaction's output will consist of that single account and up to `4096` newly created notes. + +### Transaction program +In addition to specifying inputs and outputs, a transaction must also include an executable program. The transaction program has a well-defined structure which must do the following: + +A user-defined transaction script can also be included in a transaction. + +The last point ensures that a transaction does not create or destroy any assets. A transaction can also include a user-defined transaction script. A transaction script is different to the [note scripts](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#script) that are executed during a transaction. + +## Execution steps of a transaction +Transaction execution consists of several steps. These steps are described below: + +1. **Prologue**: during this step we build a single unified vault all all transaction inputs (account + notes). +2. **Execution**: during this step we first execute scripts of all input notes (one after another), and then execute an optional user-defined script (called tx script). +3. **Epilogue**: during this step we build a single unified vault of all transaction outputs (account + notes), and make sure it contains the same assets as the input vault. + +## Asset transfer using two transactions +Under this model transferring assets between accounts requires two transactions as shown in the diagram below. + +

+ +

+ +The first transaction invokes a function on `account_a` (e.g., "send" function) which creates a new note and also updates the internal state of `account_a`. The second transaction consumes the note which invokes a function on `account_b` (e.g., "receive" function), which also updates the internal state of `account_b`. + +It is important to note that both transactions can be executed asynchronously: first `transaction1` is executed, and then, some time later, `transaction2` can be executed. This opens up a few interesting possibilities: + +* Owner of `account_b` may wait until there are many notes sent to them and process all incoming notes in a single transaction. +* A note script may include a clause which allows the source account to consume the note after some time. Thus, if `account_b` does not consume the note after the specified time, the funds can be returned. This mechanism could be used to **make sure funds sent to non-existent accounts are not lost**. +* Neither sender nor the recipient need to know who the other side is. From the sender's perspective they just need to create `note1` (and for this they need to know the assets to be transferred and the root of the note's script). They don't need any information on who will eventually consume the note. From the recipient's perspective, they just need to consume `note1`. They don't need to know who created it. +* Both transactions can be executed "locally". For example, we could generate a ZKP proving that `transaction1` was executed and submit it to the network. The network can verify the proof without the need for executing the transaction itself. Same can be done for `transaction2`. Moreover, we can mix and match. For example, `transaction1` can be executed locally, but `transaction2` can be executed on the network, or vice-versa. + +## Local vs. network transactions +There are two types of transactions in Miden: local transactions and network transactions. + +

+ +

+ +For **local transactions**, clients executing the transactions also generate the proofs of their correct execution. So, no additional work needs to be performed by the network. Local transactions are useful for several reasons: + +1. They are cheaper (i.e., lower fees) as ZKPs are already generated by the clients. +2. They allow fairly complex computations because the proof size doesn't grow linearly with the complexity of the computation. +3. They enable privacy as neither the account state nor account code are needed to verify the ZKP. + +For **network transactions**, the operator will execute the transaction and generate the proofs. Network transactions are useful for two reasons: + +1. Clients may not have sufficient resources to generate ZK proofs. +2. Executing many transactions against the same public account by different clients would be challenging as the account state would change after every transaction. In this case, the Miden Node / Operator acts as a "synchronizer" as they can execute transactions sequentially and feed the output of the previous transaction into the subsequent one. diff --git a/docs/miden/crypto-primitives/crypto-primitives.md b/docs/miden/crypto-primitives/crypto-primitives.md new file mode 100644 index 000000000..e69de29bb diff --git a/docs/miden/crypto-primitives/tsmt.md b/docs/miden/crypto-primitives/tsmt.md new file mode 100644 index 000000000..bf46945a2 --- /dev/null +++ b/docs/miden/crypto-primitives/tsmt.md @@ -0,0 +1,57 @@ +# Tiered Sparse Merkle Tree (TSMT) +A sparse Merkle tree (SMT) is a cryptographic data structure that allows authenticated manipulations of a key-value store, i.e. a dictionary. It is a Merkle tree because it is +a binary tree in which each leaf node represents a key-value pair, and each non-leaf node represents the hash of the concatenation of its two child nodes. The index of the +leaf node in the tree corresponds to the key and the data stored in this node corresponds to the value. This implies that the depth of such a tree is logarithmic in the size of the key space, which implies that, for most key spaces used in practice, such a tree is impractical if done naively. However, the tree is sparse, i.e. it is going to be made up of mostly empty leaves, which in turn implies that most sub-trees are empty with roots that can be pre-computed. +A major issue with SMTs is the fact that operations scale with the size of the key space, meaning, for example, that if our key space has size $~ 2^{256}$, then performing any operation on the key-value store, for example, an update, will require performing $256$ hashing operations. This is undesirable both inside as well as outside the STARK. + + +A common solution to this issue is to keep only non-empty leaves in the tree, which in practice means that sub-trees with only one non-empty child are replaced with the sub-tree rooted at that non-empty child. Here's an example of this: + +

+ +

+ + +Compaction implies then that the tree depth is logarithmic in the size of the dictionary entries as opposed to the size of the key space. This, in turn, means that the number of hashing required for executing operations on the key-value map scales logarithmically in the size of the map. + +The first documented implementation of a compact SMT was described [here](https://github.com/proofchains/python-proofmarshal/blob/master/proofmarshal/merbinnertree.py). This implementation relies on augmenting nodes with +a field called `prefix` which is the longest common prefix of all childs of a given node. This means that internal nodes are hashes of a left and right child together with `prefix`, i.e. `(LEFT || RIGHT || PREFIX)`. Leaf nodes are hashes of just the key-value pair. In addition, domain separation is used to distinguish +between an internal and a leaf node by appending a `0` or `1` before hashing. +A disadvantage of this implementation, as well as all known implementations of compact SMTs, is the reliance of their operations on bit-wise manipulations. This makes them very expensive to implement inside Miden VM. + +Tiered sparse Merkle trees (TSMT) are a result of the idea that one can trade hashing for more efficient bit-wise operations. More precisely, in TSMT, compaction happens only at certain pre-specified tiers and this leads to simpler bit-wise manipulations. In the case of Miden VM, compaction happens at depths `16`, `32`, `48` and `64`. To illustrate this, consider the following example where the keys have length 4, i.e. the SMT has depth 4. + +

+ +

+ +If we choose the tiers to be at depths 2 and 4 then the compact version of the above tree will look like + +

+ +

+ +If, however, we choose compaction at all possible depths we get a compact SMT that is similar to the [Jellyfish SMT](https://developers.diem.com/papers/jellyfish-merkle-tree/2021-01-14.pdf) + +

+ +

+ +We can see that a TSMT is a parametrized SMT, where the parameter is the number of tiers, that interpolates between a plain SMT with no compaction and a (fully) compact SMT with compaction allowed at evey depth. + + +The Miden VM TSMT is a map from a key-space of size approximately `256`-bit to a value-space of the same size and are represented by four $64$-bit field elements in the Miden VM native field, i.e. a `Word`. Athough keys are `256`-bit long the maximal tree depth that is allowed is `64`. This has several consequences: + +1. Limiting the tree depth to `64` means that we can use one of the four field elements making up the (full) key as the (compact) key in the TSMT. We choose the 4th field element to act as the (compact) key since when loading the (full) key on the operand stack, the 4th field element will be at the tip of the operand stack and thus will be easier to access. Using a single field element to act as the (compact) key implies that we can levarage the native instructions of the Miden VM to manipulate it during the course of operations on the TSMT inside the VM. +2. In order to deal with keys sharing a common prefix of length greater than `64`, we introduce a special type of leaf nodes at depth `64`. These leaf nodes are a sorted list of `(key, value)` pairs where sorting is done using `key`. Notice that all pairs in the sorted list have the same first part of the key, namely they share a common `64`-bit prefix , and that all pairs with the same first part of the key belong in the same sorted list. The decision to go with a sorted list of pairs instead of a standard sub-tree node with multiple childs at depth `80` sharing the same `64`-bit prefix is partially motivated by the fact that, for most scenarios related to Miden VM, the probability that two distinct keys will end up sharing a common prefix of length greater than or equal to `64` is very low, and even feasible grinding attacks can only make the sorted list on slightly longer than a dozen of elements and with very little clear benefits. Thus putting all pairs with the same first part of the key in a sorted list is a good tradeoff for dealing with prefixes of length greater than `64`. + +The Miden VM TSMT has three types of nodes: +1. Internal nodes with a left and right child, and value computed as: `Hash(left || right)` +2. Leaf nodes at depths `16`, `32` and `48` with value computed as: `Hash(rem_key || value; domain=depth)` where: + 1. `depth` is the depth of the node, i.e. either `16`, `32` or `48`. + 2. `rem_key` is the the remaining key after either the `16`, `32` or `48`-bit prefix is removed depending on the depth of the node. + 3. `domain` is a domain separation tag used to distinguish between internal and leaf nodes. +3. Leaf nodes at depth `64` with values computed as: `Hash((rem_key_1, value_1) || ... || (rem_key_n, value_n); domain=64)` where: + 1. `rem_key_i` is the remaining key after the `64`-bit prefix is removed. + 2. `value_i` is the value associated with the key `key_i`. + 3. `rem_key_i` are sorted in increasing order. diff --git a/docs/miden/index.md b/docs/miden/index.md index 95b9940fe..cfced6a1a 100644 --- a/docs/miden/index.md +++ b/docs/miden/index.md @@ -1,9 +1,86 @@ -
-
-# Polygon Miden -Polygon Miden is an in-development zero-knowledge (ZK) rollup running the Miden VM, a virtual machine that prioritizes ZK-friendliness over EVM compatibility. -
-
- -
-
+ +
+
+
+

Polygon Miden

+

Software in development

+

+

Polygon Miden is an in-development zero-knowledge (zk) rollup running on the Miden VM, a virtual machine that prioritizes zk-friendliness over EVM compatibility.

+
+
+
+ + \ No newline at end of file diff --git a/docs/miden/introduction/introduction.md b/docs/miden/introduction/introduction.md new file mode 100644 index 000000000..ff6f7cf3f --- /dev/null +++ b/docs/miden/introduction/introduction.md @@ -0,0 +1,32 @@ +# Polygon Miden + +> *This documentation is still Work In Progress. Some topics have been discussed in greater depth, while others require additional clarification. Sections of this documentation might later be reorganized in order to achieve a better flow.* + +## Welcome to the Polygon Miden Documentation +Polygon Miden is a zkRollup for high-throughput and private applications. Users can create zero-knowledge proofs of their own state changes, and the Miden network verifies. It is expected to launch a public testnet in Q1 2024. + +This documentation explains how to develop on Miden. Furthermore, it explains the Miden architecture and concepts, the network and its components, and the underlying cryptographic primitives. + +If you want to join the technical discussion, please check out + +* the [Discord](https://discord.gg/0xpolygondevs) +* the [Repo](https://github.com/0xPolygonMiden) +* the [Roadmap](../roadmap) + +## Miden creates a new design space secured by Ethereum +Our goal is to not only scale Ethereum but to extend it. Rollups - secured by Ethereum - can be new design spaces and even experimental. This is the place to innovate. The base layer, however, should stay conservative and only slowly evolve to ensure the required safety and stability. + +Like other rollups, we scale Ethereum and inherit its security. We want to provide a safe and decentralized environment for composable smart contracts. + +Unlike most other rollups, Polygon Miden prioritizes ZK-friendliness over EVM compatibility. It also uses a novel, actor-based state model to exploit the full power of a ZK-centric design. These design choices allow Polygon Miden to extend Ethereum’s feature set. These features allow developers to create applications currently infeasible on EVM-like systems. + +## Benefits of Polygon Miden +* Ethereum security +* Developers can build applications infeasible on other systems, e.g. + * **onchain order book exchange** due to parallel tx exectuion and updatable transactions + * **complex, incomplete information games** due to client-side proving and cheap complex computations + * **safe wallets** due to assets being stored in the accounts and account state can be hidden +* Better privacy properties than on Ethereum - first web2 privacy, later even stronger privacy guarantees +* Transactions can be recalled and updated +* Lower fees due to client-side proving +* dApps on Miden are safe to use due to account abstraction and compile-time safe Rust smart contracts diff --git a/docs/miden/introduction/protocol.md b/docs/miden/introduction/protocol.md new file mode 100644 index 000000000..eb16a1b90 --- /dev/null +++ b/docs/miden/introduction/protocol.md @@ -0,0 +1,49 @@ +# Architecture +In Polygon Miden the Protocol is a set of rules how the network ensure computational integrity. + +Users can interact on the network executing transactions. Transactions are always executed against single accounts and produce or consume at least one note. The state of all accounts and notes is compressed into the L2 state root which is being published and accompanied by a ZK proof to Ethereum. + +The concepts which constitutes the Miden protocol are + +* Accounts +* Notes +* Transactions Model +* State Model +* Execution Model + +## Transaction life cycle +To illustrate the core protocol, let's look at how Alice can send Bob 5 MATIC in Polygon Miden. Note: Because of the asynchronous execution model two transactions are needed to transfer the assets. + +Alice owns an account that holds her assets. + + +

+ +

+ +Alice can execute a transaction that creates a note carrying 5 MATIC and changing her account to own 5 MATIC less. + +

+ +

+ +Now in Miden there would be Alice's account, the note, and Bob's account. Because Bob hasn't consumed the note yet. + +

+ +

+ +For Bob to finally receive the 5 MATIC, he needs to consume the note that Alice created in her transaction. To do so, Bob needs to execute a second transaction. + +

+ +

+ +Now, Bob got 5 MATIC in his account. + +

+ +

+ + +The State Model now simply defines how the current state of all accounts and notes at a certain point in time can be thought of. And the Execution Model defines the rules about how this state progresses from `t` to `t+1`. diff --git a/docs/miden/overview.md b/docs/miden/overview.md index 0d69835b1..c09e66691 100644 --- a/docs/miden/overview.md +++ b/docs/miden/overview.md @@ -1,10 +1,12 @@ Polygon Miden uses a novel, actor-based state model to allow users to prove their own state locally, achieving high throughput and privacy at the same time. Polygon Miden is a general purpose rollup where developers can write and deploy arbitrary smart contracts. -Miden is currently in-development. A public testnet for Polygon Miden is expected in Q1 2024. +!!! warning + - Miden is currently in development. + - A public testnet for Polygon Miden is expected in Q1 2024. Polygon Miden offers features and benefits that are not available on Ethereum. Developers are empowered to build high-throughput, private dApps. - **Beyond EVM**: Build novel applications, i.e., on-chain order book exchanges, complex incomplete information games, compliant and private asset management apps -- **Privacy**: Control your data with local data storage. In Polygon Miden, privacy is the cheaper option and—if you want—the network only tracks a commitment to your data +- **Local data**: Control your data with local data storage. In Polygon Miden, privacy is the cheaper option and—if you want—the network only tracks a commitment to your data - **High throughput**: Build applications that can be used by many users at the same time. Client-side proving reduces the burden on the network and allows for parallel transaction execution - **Safety**: Account asset storage, account abstraction, privacy, and smart contracts in Rust are less prone to bugs and less exposed to hackers diff --git a/docs/miden/roadmap.md b/docs/miden/roadmap.md new file mode 100644 index 000000000..b4e38d8c3 --- /dev/null +++ b/docs/miden/roadmap.md @@ -0,0 +1,9 @@ + +
+![Miden roadmap](../img/miden/roadmap/miden_roadmap_dec_23.jpg) +
\ No newline at end of file diff --git a/docs/toc.py b/docs/toc.py new file mode 100644 index 000000000..5e2b66698 --- /dev/null +++ b/docs/toc.py @@ -0,0 +1,27 @@ +# Author: Katharine Murphy +# -------------------------------------------------------------------------------------------------------------- +### INSTRUCTIONS FOR USE ### +# -------------------------------------------------------------------------------------------------------------- +# Originally created for the output of solidity-docgen plugin. +# +# Feel free to improve it. It may need tweaking as I haven't used it in a while. +# +# Paste the markdown files into the relevant folder. +# Run the script from the root `docs` and add the path to list_files(path_parameter). +# Paste the resulting output directly into the `mkdocs.yaml` file at the relevant spot. +# -------------------------------------------------------------------------------------------------------------- + +import os + +def list_files(startpath): + for root, dirs, files in sorted(os.walk(startpath)): + level = root.replace(startpath, '').count(os.sep) + indent = ' ' * 4 * (level) + print(' {}- {}:'.format(indent, os.path.basename(root).capitalize()),) + subindent = ' ' * 4 * (level + 1) + for f in sorted(files): + title = str(f).replace('.md', '') + filepath = os.path.join(root, f) + print(' {}- {}: {}'.format(subindent, title, filepath)) + +list_files("miden") \ No newline at end of file diff --git a/docs/tools/index.md b/docs/tools/index.md index 2bfc15f56..4b507f783 100644 --- a/docs/tools/index.md +++ b/docs/tools/index.md @@ -17,7 +17,7 @@ align-items: stretch; } .grid-item { - background-color: hsla(0,0%,100%,0); + background-color: white; border-radius: 8px; -webkit-box-shadow: 0 8px 16px 0 rgb(17 17 17 / 8%); box-shadow: 0 8px 16px 0 rgb(17 17 17 / 8%); diff --git a/mkdocs.yml b/mkdocs.yml index 70fdd6f44..16f0f8cc0 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -267,8 +267,6 @@ nav: - Topup: pos/architecture/heimdall/topup.md - Chain management: pos/architecture/heimdall/chain-management.md - Governance: pos/architecture/heimdall/governance.md - #- Specification: - # - Specification: pos/spec/index.md - Concepts: - Concepts: pos/concepts/index.md - Tokens: @@ -280,12 +278,25 @@ nav: - EIP-1559: pos/concepts/transactions/eip-1559.md - EIP-4337: pos/concepts/transactions/eip-4337.md - Meta-transactions: pos/concepts/transactions/meta-transactions.md - # - API: - # - pos/api/index.md - Miden: - Miden: miden/index.md - Overview: miden/overview.md - - Miden zkRollup docs: https://0xpolygonmiden.github.io/miden-base/introduction.html + - Miden zkRollup docs: + - Roadmap: miden/roadmap.md + - Introduction: + - Introduction: miden/introduction/introduction.md + - Protocol: miden/introduction/protocol.md + - Architecture: + - Accounts: miden/architecture/accounts.md + - Architecture: miden/architecture/architecture.md + - Assets: miden/architecture/assets.md + - Execution: miden/architecture/execution.md + - Notes: miden/architecture/notes.md + - State: miden/architecture/state.md + - Transactions: miden/architecture/transactions.md + - Crypto primitives: + - Crypto primitives: miden/crypto-primitives/crypto-primitives.md + - Tiered sparce Merkle tree (TSMT): miden/crypto-primitives/tsmt.md - Miden VM docs: https://0xpolygonmiden.github.io/miden-vm/ - Developer tools: - Developer tools: tools/index.md From 6311be83001c1550220f5461bc9bbc6a97409b3e Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Wed, 13 Dec 2023 15:58:54 +0100 Subject: [PATCH 2/9] update miden docs --- .../miden/network/Architecture_Overview.svg | 16 ------ docs/miden/index.md | 2 +- .../{introduction.md => index.md} | 35 +++++++------ docs/miden/introduction/protocol.md | 49 ------------------- mkdocs.yml | 7 ++- 5 files changed, 24 insertions(+), 85 deletions(-) delete mode 100644 docs/img/miden/network/Architecture_Overview.svg rename docs/miden/introduction/{introduction.md => index.md} (63%) delete mode 100644 docs/miden/introduction/protocol.md diff --git a/docs/img/miden/network/Architecture_Overview.svg b/docs/img/miden/network/Architecture_Overview.svg deleted file mode 100644 index d078b9790..000000000 --- a/docs/img/miden/network/Architecture_Overview.svg +++ /dev/null @@ -1,16 +0,0 @@ - - - - - - - Miden NodeMiden ClientMiden ClientMiden ClientMiden Client。◕‿◕。RPC callsSend tx dataSend proofsVerifier contractBridge contract。◕‿◕。DepositWithdrawSend StateRoot and ProofL1 L2 bridge diff --git a/docs/miden/index.md b/docs/miden/index.md index cfced6a1a..5778cb1b5 100644 --- a/docs/miden/index.md +++ b/docs/miden/index.md @@ -58,7 +58,7 @@
- +
zkRollup docs
diff --git a/docs/miden/introduction/introduction.md b/docs/miden/introduction/index.md similarity index 63% rename from docs/miden/introduction/introduction.md rename to docs/miden/introduction/index.md index ff6f7cf3f..ed76b261c 100644 --- a/docs/miden/introduction/introduction.md +++ b/docs/miden/introduction/index.md @@ -1,19 +1,21 @@ -# Polygon Miden +!!! warning + - Polygon Miden is in development. + - The documentation is also work in progress. -> *This documentation is still Work In Progress. Some topics have been discussed in greater depth, while others require additional clarification. Sections of this documentation might later be reorganized in order to achieve a better flow.* +## Welcome to Polygon Miden -## Welcome to the Polygon Miden Documentation Polygon Miden is a zkRollup for high-throughput and private applications. Users can create zero-knowledge proofs of their own state changes, and the Miden network verifies. It is expected to launch a public testnet in Q1 2024. This documentation explains how to develop on Miden. Furthermore, it explains the Miden architecture and concepts, the network and its components, and the underlying cryptographic primitives. If you want to join the technical discussion, please check out -* the [Discord](https://discord.gg/0xpolygondevs) -* the [Repo](https://github.com/0xPolygonMiden) -* the [Roadmap](../roadmap) +* the [Discord](https://discord.gg/0xpolygondevs). +* the [Repo](https://github.com/0xPolygonMiden). +* the [Roadmap](../roadmap). ## Miden creates a new design space secured by Ethereum + Our goal is to not only scale Ethereum but to extend it. Rollups - secured by Ethereum - can be new design spaces and even experimental. This is the place to innovate. The base layer, however, should stay conservative and only slowly evolve to ensure the required safety and stability. Like other rollups, we scale Ethereum and inherit its security. We want to provide a safe and decentralized environment for composable smart contracts. @@ -21,12 +23,15 @@ Like other rollups, we scale Ethereum and inherit its security. We want to provi Unlike most other rollups, Polygon Miden prioritizes ZK-friendliness over EVM compatibility. It also uses a novel, actor-based state model to exploit the full power of a ZK-centric design. These design choices allow Polygon Miden to extend Ethereum’s feature set. These features allow developers to create applications currently infeasible on EVM-like systems. ## Benefits of Polygon Miden -* Ethereum security -* Developers can build applications infeasible on other systems, e.g. - * **onchain order book exchange** due to parallel tx exectuion and updatable transactions - * **complex, incomplete information games** due to client-side proving and cheap complex computations - * **safe wallets** due to assets being stored in the accounts and account state can be hidden -* Better privacy properties than on Ethereum - first web2 privacy, later even stronger privacy guarantees -* Transactions can be recalled and updated -* Lower fees due to client-side proving -* dApps on Miden are safe to use due to account abstraction and compile-time safe Rust smart contracts + +* Ethereum security. +* Developers can build applications infeasible on other systems, for example: + + * *On-chain order book exchanges* due to parallel tx exectuion and updatable transactions. + * *Complex, incomplete information games* due to client-side proving and cheap complex computations. + * *Safe wallets* due to assets being stored in the accounts and account state can be hidden. + +* Better privacy properties than on Ethereum - first web2 privacy, later even stronger privacy guarantees. +* Transactions can be recalled and updated. +* Lower fees due to client-side proving. +* dApps on Miden are safe to use due to account abstraction and compile-time safe Rust smart contracts. diff --git a/docs/miden/introduction/protocol.md b/docs/miden/introduction/protocol.md deleted file mode 100644 index eb16a1b90..000000000 --- a/docs/miden/introduction/protocol.md +++ /dev/null @@ -1,49 +0,0 @@ -# Architecture -In Polygon Miden the Protocol is a set of rules how the network ensure computational integrity. - -Users can interact on the network executing transactions. Transactions are always executed against single accounts and produce or consume at least one note. The state of all accounts and notes is compressed into the L2 state root which is being published and accompanied by a ZK proof to Ethereum. - -The concepts which constitutes the Miden protocol are - -* Accounts -* Notes -* Transactions Model -* State Model -* Execution Model - -## Transaction life cycle -To illustrate the core protocol, let's look at how Alice can send Bob 5 MATIC in Polygon Miden. Note: Because of the asynchronous execution model two transactions are needed to transfer the assets. - -Alice owns an account that holds her assets. - - -

- -

- -Alice can execute a transaction that creates a note carrying 5 MATIC and changing her account to own 5 MATIC less. - -

- -

- -Now in Miden there would be Alice's account, the note, and Bob's account. Because Bob hasn't consumed the note yet. - -

- -

- -For Bob to finally receive the 5 MATIC, he needs to consume the note that Alice created in her transaction. To do so, Bob needs to execute a second transaction. - -

- -

- -Now, Bob got 5 MATIC in his account. - -

- -

- - -The State Model now simply defines how the current state of all accounts and notes at a certain point in time can be thought of. And the Execution Model defines the rules about how this state progresses from `t` to `t+1`. diff --git a/mkdocs.yml b/mkdocs.yml index 16f0f8cc0..3551a9681 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -282,10 +282,9 @@ nav: - Miden: miden/index.md - Overview: miden/overview.md - Miden zkRollup docs: - - Roadmap: miden/roadmap.md - - Introduction: - - Introduction: miden/introduction/introduction.md - - Protocol: miden/introduction/protocol.md + - Introduction: + - Welcome: miden/introduction/index.md + - Roadmap: miden/roadmap.md - Architecture: - Accounts: miden/architecture/accounts.md - Architecture: miden/architecture/architecture.md From a72b7f40c9a321e79df2be6ed92fe73f5a33deaf Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 10:30:39 +0100 Subject: [PATCH 3/9] latest bunch of commits --- docs/miden/architecture/accounts.md | 10 ++-- docs/miden/architecture/architecture.md | 61 --------------------- docs/miden/architecture/assets.md | 31 ++++++----- docs/miden/architecture/execution.md | 38 +++++++------- docs/miden/architecture/index.md | 70 +++++++++++++++++++++++++ docs/miden/architecture/notes.md | 54 ++++++++++++------- docs/miden/architecture/state.md | 27 +++++----- mkdocs.yml | 2 +- 8 files changed, 162 insertions(+), 131 deletions(-) delete mode 100644 docs/miden/architecture/architecture.md create mode 100644 docs/miden/architecture/index.md diff --git a/docs/miden/architecture/accounts.md b/docs/miden/architecture/accounts.md index 6ca32d8a8..e93714649 100644 --- a/docs/miden/architecture/accounts.md +++ b/docs/miden/architecture/accounts.md @@ -1,12 +1,12 @@ -# Accounts Miden aims to support expressive smart contracts via a Turing-complete language. For smart contracts the go-to solution is account-based state. In Miden, an account is an entity which holds assets and defines rules of how these assets can be transferred. They are basic building blocks representing a user or an autonomous smart contract. -## Account Design +## Account design + The diagram below illustrates basic components of an account. In Miden every account is a smart contract. -

- -

+
+![Account definition](../../img/miden/architecture/account/account_definition.png){ width="30%" } +
In the above picture, you can see: diff --git a/docs/miden/architecture/architecture.md b/docs/miden/architecture/architecture.md deleted file mode 100644 index 06252bfde..000000000 --- a/docs/miden/architecture/architecture.md +++ /dev/null @@ -1,61 +0,0 @@ -# Architecture -The Polygon Miden Architecture decribes the concepts of how the participants of the network can interact. - -The architecture reflects the design goals for the rollup: - -* **High throughput** -* **Privacy** -* **Asset safety** - -## Inspired by the Actor model -The [Actor Model](https://en.wikipedia.org/wiki/Actor_model) inspired Miden to achieve concurrent and local state changes. In the model, actors are little state machines with inboxes, meaning each actor is responsible for their own state. Actors can send and receive messages to communicate with other actors. Messages can be read asynchronously. - -## Core Concepts in Miden -In Miden, there are accounts and notes which can hold assets. Accounts consume and produce notes in transactions. Transactions describe account state changes of single accounts. - -### Accounts -[Accounts](./architecture/accounts) can hold assets and define rules how assets can be transferred. Accounts can represent users or autonomous smart contracts. This chapter describes the design, the storage types, and the creation of an account. - -### Notes -[Notes](./architecture/notes) are messages that accounts send to each other. A note stores assets and a script that defines how this note can be consumed. This chapter describes the design, the storage types, and the creation of a note. - -### Assets -[Assets](./architecture/assets) can be fungible and non-fungible. They are stored in the owner’s account itself or in a note. This chapter describes asset issuance, customization, and storage. - -### Transactions -[Transactions](./architecture/transactions) describe production and consumption of notes by a single account. Executing a transaction always results in a STARK proof. This chapter describes the transaction design and the different transaction types. - -#### Accounts produce and consume notes to communicate -

- -

- -## State and Execution -The state model captures all individual states of all accounts and notes. Finally, the execution model describes state progress in a sequence of blocks. - -### State model -[State](./architecture/state) describes everything that is the case at a certain point in time. Individual states of accounts or notes can be stored onchain and offchain. This chapter describes the three different state databases in Miden. - -### Execution model -[Execution](./architecture/execution) describes how the state progresses - on an individual level via transactions and at the global level expressed as aggregated state updates in blocks. This chapter describes the execution model and how blocks are built. - -#### Operators capture and progress state -

- -

- -# Architecture tradeoffs -
- Want to know more on why we designed Miden as is? - - ### Polygon Miden's architecture - Polygon Miden’s architecture departs considerably from typical blockchain designs to support privacy and parallel transaction exection. In traditional blockchains state and transactions must be transparent to be verifiable. This is necessary for block production and execution. User generated zero-knowledge proofs allow state transitions, e.g. transactions, to be verifiable without being transparent. - - ### Actor-based execution model - The actor model inspires Polygon Miden’s execution model. This is a well-known design paradigm in concurrent systems. In the actor model, actors are state machines responsible for maintaining their own state. In the context of Polygon Miden, each account is an actor. Actors communicate with each other by exchanging messages asynchronously. One actor can send a message to another, but it is up to the recipient to apply the requested change to their state. - - Polygon Miden’s architecture takes the actor model further and combines it with zero-knowledge proofs. Now, actors not only maintain and update their own state, but they can also prove the validity of their own state transitions to the rest of the network. This ability to independently prove state transitions enables local smart contract execution, private smart contracts, and much more. And it is quite unique in the rollup space. Normally only centralized entities - sequencer or prover - create zero-knowledge proofs, not the users. - - ### Hybrid state model - The actor-based execution model requires a radically different approach to recording the system's state. Actors and the messages they exchange must be treated as first-class citizens. Polygon Miden addresses this by combining the state models of account-based systems like Ethereum and UTXO-based systems like Bitcoin and Zcash. -
\ No newline at end of file diff --git a/docs/miden/architecture/assets.md b/docs/miden/architecture/assets.md index 7a0d50da8..f3439ebdd 100644 --- a/docs/miden/architecture/assets.md +++ b/docs/miden/architecture/assets.md @@ -1,49 +1,54 @@ -# Assets In Miden, users can create and trade arbitrary fungible and non-fungible assets. We differentiate between native and non-native assets in Miden. Native assets follow the Miden asset model. Non-native assets are all other data structures of value that can be exchanged. Recording of native assets in Polygon Miden suffices four goals: -* Asset exchange should be parallelizable -* Asset ownership should be private -* Asset usage should be indeed censorship resistant -* Fees can be paid using any asset +* Asset exchange should be parallelizable. +* Asset ownership should be private. +* Asset usage should be indeed censorship resistant. +* Fees can be paid using any asset. All native assets in Miden are stored directly in accounts, like Ether in Ethereum. Miden does not track ownership of assets using global hashmaps, e.g., ERC20 contracts. Storage of assets locally in accounts provides privacy and the ability for client-side proofs. That is because ownership changes always involve only one account and not the change of a global hashmap. Thus, they can happen in parallel. Additionally, asset exchange is censorship resistant at this level because there is no global contract the transfer must pass through. Finally, users can pay fees in any asset. ## Native assets + Native assets are data structures that follow the Miden asset model (encoding, issuance, storing). All native assets are encoded using a single `Word` (4 field elements). The asset encodes both the ID of the issuing account and the asset details. Having the issuer's ID encoded in the asset makes it cost-efficient to determine the type of an asset inside and outside Miden VM. And, representing the asset in a `Word` means the representation is always a commitment to the asset data itself. That is particularly interesting for non-fungible assets. ### Issuance -Only specialized accounts called faucets can issue assets. Just like with regular accounts, anyone can create a faucet account. Faucets can issue only either fungible or non-fungible assets - but not both. The `faucet_id` identifies the faucet and is starts with a different sequence depending on the asset type, see [here](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html#account-id). The faucet's code defines rules for how assets can be minted, who can mint them etc. Conceptually, faucet accounts on Miden are similar to ERC20 contracts on Ethereum. But, there is no ownership tracking in Miden faucets. + +Only specialized accounts called faucets can issue assets. Just like with regular accounts, anyone can create a faucet account. Faucets can issue only either fungible or non-fungible assets - but not both. The `faucet_id` identifies the faucet and is starts with a different sequence depending on the asset type, see [here](./accounts/#account-id). The faucet's code defines rules for how assets can be minted, who can mint them etc. Conceptually, faucet accounts on Miden are similar to ERC20 contracts on Ethereum. But, there is no ownership tracking in Miden faucets. Faucets can create assets and immediately distribute them by producing notes. However, assets can also stay in the faucet after creation to be sent later, e.g., in a bundle. That way, one can mint a million NFTs locally in a single transaction and then send them out as needed in separate transactions in the future. -

- -

+
+![Asset issuance](../../img/miden/architecture/asset/asset_issuance.png){ width="50%" } +
### Fungible assets + A fungible asset is encoded using the amount and the `faucet_id` of the faucet which issued the asset. The amount is guaranteed to be $2^{63} - 1$ or smaller, the maximum supply for any fungible asset. Examples of fungible assets are ETH and stablecoins, e.g., DAI, USDT, and USDC. If the `faucet_id` of MATIC were to be `2`, 100 MATIC are encoded as `[100, 0, 0, 2]` - whereas the `0`s in the middle help to quickly distinguish between fungible and non-fungible assets. ### Non-fungible assets + A non-fungible asset is encoded by hashing the asset data into a `Word` and then replacing the second element with the `faucet_id` of the issuing account. It looks like `[e0, faucet_id, e2, e3]`. Note that the second element is guaranteed to be non-Zero. Examples of non-fungible assets are all NFTs, e.g., a DevCon ticket. The ticket's data might be represented in a JSON string - which DevCon, the date, the initial price, etc. . Now, users can create a faucet for non-fungible DevCon tickets. This DevCon faucet would hash the JSON string into a `Word` to transform the ticket into an asset. ### Storage -[Accounts](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html) and [notes](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html) contain asset vaults that are used to store assets. Accounts can keep unlimited assets in a [tiered sparse Merkle tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html) called `account vault`. Notes can only store up to `255` distinct assets. -

- -

+[Accounts](./accounts) and [notes](./notes) contain asset vaults that are used to store assets. Accounts can keep unlimited assets in a [tiered sparse Merkle tree](../crypto-primitives/tsmt) called `account vault`. Notes can only store up to `255` distinct assets. + +
+![Asset storage](../../img/miden/architecture/asset/asset_storage.png){ width="50%" } +
The information on which and how many assets are owned can be private depending on the account's storage mode or the note. This is true for any native asset in Miden. ## Non-native assets + Miden is flexible enough to create other types of assets as well. For example, developers can fully replicate Ethereum's ERC20 model, where ownership of fungible assets is recorded in a single account. To transact, users must send a note to that account to change the global hashmap. diff --git a/docs/miden/architecture/execution.md b/docs/miden/architecture/execution.md index 299296824..2692da304 100644 --- a/docs/miden/architecture/execution.md +++ b/docs/miden/architecture/execution.md @@ -1,25 +1,26 @@ -# Execution Model +Polygon Miden is an Ethereum rollup. It batches transactions - or more precisely, proofs thereof - that happen together in the same time period into a block. The execution model describes how the state progresses on an individual level via transactions and at the global level expressed as aggregated state updates in blocks. -Polygon Miden is an Ethereum Rollup. It batches transactions - or more precisely, proofs thereof - that happen together in the same time period into a block. The Execution Model describes how the state progresses on **an individual level via transactions** and **at the global level expressed as aggregated state updates in blocks**. +
+![Execution](../../img/miden/architecture/execution/execution.png){ width="80%" } +
-

- -

+## Transaction execution -## Transaction Execution +Every transaction will result in a zkProof that attests to its correctness. -Every transaction will result in a ZK proof that attests to its correctness. +As mentioned in [transactions](./transactions), there are two types of transactions: local and network. For every transaction there is a proof which is either created by the user in the Miden Client or by the Operator using the Miden Node. -As mentioned in [transactions](https://0xpolygonmiden.github.io/miden-base/architecture/transactions.html#local-vs-network-transactions), there are two types of transactions: local and network. For every transaction there is a proof which is either created by the user in the Miden Client or by the Operator using the Miden Node. +## Transaction batching -## Transaction Batching To reduce the required space on the Ethereum blockchain, transaction proofs are aggregated into batches. This can happen in parallel by different machines that need to verify several proofs using the Miden VM and thus creating a proof. Verifying a STARK proof within the VM is relatively efficient but it is still a pretty costly operation (we aim for 216 cycles). -## Block Production +## Block production + Several batch proofs are being aggregated together into one block. This can not happen in parallel and must be done by the Miden Operator running the Miden Node. The idea is the same, using recursive verification. ## State progress -At the beginning, Miden will have a centralized Operator running a Miden Node. + +At the beginning, Miden will have a centralized operator running a Miden node. Users will send either transaction proofs (using local execution) or transaction data (for network execution) to the Miden Node. Later on, the Miden Node will use recursive verification to aggregate transaction proofs into batches. @@ -27,13 +28,13 @@ Batch proofs are aggregated into blocks by the Miden Node. The blocks are then s A block produced by the Miden Node looks somewhat like this: -

- -

+
+![Block](../../img/miden/architecture/execution/block.png) +
-* **state updates** contain only the hashes of changes. For example, for each account which was updated, we record a tuple `([account id], [new account hash])`. -* The included **zk proof** attests that given a state commitment from the previous block, there was a sequence of valid transactions executed that resulted in the new state commitment, and also output included state updates. -* The block also contains full account and note data for public accounts and notes. For example, if account `123` is a public account which was updated, in the *state updates* section we'd have a records for it as `(123, 0x456..)`. The full new state of this account (which should hash to `0x456..`) would be included in a separate section. +* State updates contain only the hashes of changes. For example, for each account which was updated, we record a tuple `([account id], [new account hash])`. +* The included zkProof attests that given a state commitment from the previous block, there was a sequence of valid transactions executed that resulted in the new state commitment, and also output included state updates. +* The block also contains full account and note data for public accounts and notes. For example, if account `123` is a public account which was updated, in the state updates section we'd have a records for it as `(123, 0x456..)`. The full new state of this account (which should hash to `0x456..`) would be included in a separate section. To verify that a block describes a valid state transition, we do the following: 1. Compute hashes of public account and note states. @@ -46,8 +47,9 @@ To verify that a block describes a valid state transition, we do the following: The above can be performed by a verifier contract on Ethereum L1. This structure has another nice property. It is very easy for a new node to sync up to the current state from genesis. The new node would need to do the following: + 1. Download only the first part of the blocks (i.e., without full account/note states) starting at the genesis up until the latest block. -2. Verify all ZKPs in the downloaded blocks. This will be super quick (exponentially faster than re-executing original transactions) and can also be done in parallel. +2. Verify all zkProofs in the downloaded blocks. This will be super quick (exponentially faster than re-executing original transactions) and can also be done in parallel. 3. Download the current states of account, note, and nullifier databases. 4. Verify that the downloaded current state matches the state commitment in the latest block. diff --git a/docs/miden/architecture/index.md b/docs/miden/architecture/index.md new file mode 100644 index 000000000..370d34d0e --- /dev/null +++ b/docs/miden/architecture/index.md @@ -0,0 +1,70 @@ +# Architecture + +The Polygon Miden Architecture describes how the participants of the network interact. The architecture reflects the design goals for the rollup: + +* High throughput. +* Privacy. +* Asset safety. + +## Inspired by the actor model + +The [actor model](https://en.wikipedia.org/wiki/Actor_model) inspired Miden to achieve concurrent and local state changes. In the model, actors are little state machines with inboxes, meaning each actor is responsible for their own state. Actors can send and receive messages to communicate with other actors. Messages can be read asynchronously. + +## Core concepts in Miden + +In Miden, there are accounts and notes which can hold assets. Accounts consume and produce notes in transactions. Transactions describe account state changes of single accounts. + +### Accounts + +[Accounts](./accounts) can hold assets and define rules how assets can be transferred. Accounts can represent users or autonomous smart contracts. This chapter describes the design, the storage types, and the creation of an account. + +### Notes + +[Notes](./notes) are messages that accounts send to each other. A note stores assets and a script that defines how this note can be consumed. This chapter describes the design, the storage types, and the creation of a note. + +### Assets + +[Assets](./assets) can be fungible and non-fungible. They are stored in the owner’s account itself or in a note. This chapter describes asset issuance, customization, and storage. + +### Transactions + +[Transactions](./transactions) describe production and consumption of notes by a single account. Executing a transaction always results in a STARK proof. This chapter describes the transaction design and the different transaction types. + +##### Accounts produce and consume notes to communicate + +
+![Core concepts](../../img/miden/architecture/miden_architecture_core_concepts.gif){ width="80%" } +
+ +## State and Execution +The state model captures all individual states of all accounts and notes. Finally, the execution model describes state progress in a sequence of blocks. + +### State model +[State](./state) describes everything that is the case at a certain point in time. Individual states of accounts or notes can be stored onchain and offchain. This chapter describes the three different state databases in Miden. + +### Execution model +[Execution](./execution) describes how the state progresses - on an individual level via transactions and at the global level expressed as aggregated state updates in blocks. This chapter describes the execution model and how blocks are built. + +##### Operators capture and progress state + +
+![State progress](../../img/miden/architecture/miden_architecture_state_progress.gif){ width="80%" } +
+ +??? "Architecture tradeoffs" + + Want to know more on why we designed Miden as is? + + **Polygon Miden's architecture** + + Polygon Miden’s architecture departs considerably from typical blockchain designs to support privacy and parallel transaction exection. In traditional blockchains state and transactions must be transparent to be verifiable. This is necessary for block production and execution. User generated zero-knowledge proofs allow state transitions, e.g. transactions, to be verifiable without being transparent. + + **Actor-based execution model** + + The actor model inspires Polygon Miden’s execution model. This is a well-known design paradigm in concurrent systems. In the actor model, actors are state machines responsible for maintaining their own state. In the context of Polygon Miden, each account is an actor. Actors communicate with each other by exchanging messages asynchronously. One actor can send a message to another, but it is up to the recipient to apply the requested change to their state. + + Polygon Miden’s architecture takes the actor model further and combines it with zero-knowledge proofs. Now, actors not only maintain and update their own state, but they can also prove the validity of their own state transitions to the rest of the network. This ability to independently prove state transitions enables local smart contract execution, private smart contracts, and much more. And it is quite unique in the rollup space. Normally only centralized entities - sequencer or prover - create zero-knowledge proofs, not the users. + + **Hybrid state model** + + The actor-based execution model requires a radically different approach to recording the system's state. Actors and the messages they exchange must be treated as first-class citizens. Polygon Miden addresses this by combining the state models of account-based systems like Ethereum and UTXO-based systems like Bitcoin and Zcash. diff --git a/docs/miden/architecture/notes.md b/docs/miden/architecture/notes.md index 638a7b104..946158c76 100644 --- a/docs/miden/architecture/notes.md +++ b/docs/miden/architecture/notes.md @@ -1,51 +1,61 @@ -# Notes Miden aims to achieve parallel transaction execution and privacy. The UTXO-model combined with client-side proofs provide those features. In Miden, an note is a way of transferring assets between accounts. Notes can be consumed and produced asynchronously and privately. ## Note design + The diagram below illustrates the contents of a note: -

- -

+
+![Note contents](../../img/miden/architecture/note/note.png) +
As shown in the above picture: -* **Vault →** a set of assets that are stored in note -* **Script →** it must be executed in a context of some account to claim the assets -* **Inputs →** these are placed onto the stack before a note's script is executed -* **Serial number →** a note's unique identifier + +* **Vault →** a set of assets that are stored in note. +* **Script →** it must be executed in a context of some account to claim the assets. +* **Inputs →** these are placed onto the stack before a note's script is executed. +* **Serial number →** a note's unique identifier. ### Vault + Asset container for a note. A note vault can contain up to `255` assets stored in an array. The entire vault can be reduced to a single hash which is computed by sequentially hashing the list of the vault's assets. ### Script -Unlike an account, a note has a single executable script. This script will be executed in a [transaction](https://0xpolygonmiden.github.io/miden-base/architecture/transactions.html). This script is also the root of a [Miden program MAST](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html). A script is always executed in the context of a single account, and thus, may invoke account's functions. A note's script can call zero or more of an account's function. -*Note: Since code in Miden is expresed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change.* +Unlike an account, a note has a single executable script. This script will be executed in a [transaction](./transactions). This script is also the root of a [Miden program MAST](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html). A script is always executed in the context of a single account, and thus, may invoke account's functions. A note's script can call zero or more of an account's function. + +!!! note + Since code in Miden is expressed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change.* ### Inputs + A note script can take parameters (passed via the stack) as inputs. ### Serial number + A note's unique serial number identifies the note and this is needed to create the note's hash and nullifier. The serial number is used to break linkability between note hash and note nullifier. ## Note metadata -For every note the Miden Operator stores metadata in the Note DB. This metadata includes: + +For every note the Miden operator stores metadata in the note DB. This metadata includes: * A **user-defined tag** as a means to quickly grab all notes for a certain application or use case. * A **sender** to be able to provide also ERC20 contract functionality. * The **number of assets** contained in the note. ## Note storage modes -Similar to accounts, there are two storage modes for notes in Miden. Notes can be stored privately in the [Notes DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#notes-database) with only the note hash. Or notes can be stored publicly with all data. -Privately stored notes can only be consumed if the note data is known to the consumer. That means, there must be some offchain communication to transmit the note's data from the sender to the receipient. +Similar to accounts, there are two storage modes for notes in Miden. Notes can be stored privately in the [Notes DB](./state/#note-database) with only the note hash. Or notes can be stored publicly with all data. + +Privately stored notes can only be consumed if the note data is known to the consumer. That means, there must be some off-chain communication to transmit the note's data from the sender to the recipient. ## Note hash + The note hash is computed as: `hash(hash(hash(hash(serial_num, [0; 4]), script_hash), input_hash), vault_hash)` This achieves the following properties: + - Every note can be reduced to a single unique hash. - To compute a note's hash, we do not need to know the note's `serial_num`. Knowing the hash of the `serial_num` (as well as `script_hash`, `input_hash` and `note_vault`) is sufficient. @@ -54,29 +64,33 @@ This achieves the following properties: the VM. ## Note nullifier -The nullifier is the note's index in the [Nullifier DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#nullifier-database). The Nullifier DB stores the information whether a note was already consumed. + +The nullifier is the note's index in the [Nullifier DB](./notes/#note-nullifier). The Nullifier DB stores the information whether a note was already consumed. The nullifier is computed as `hash(serial_num, script_hash, input_hash, vault_hash)`. -This achieves the following properties: +This has the following properties: + - Every note can be reduced to a single unique nullifier. - We cannot derive a note's hash from its nullifier. - To compute the nullifier, we must know all components of the note: `serial_num`, `script_hash`, `input_hash`, and `vault_hash`. To know a note’s nullifier, one needs to know all details of the note. That means if a note is private and the operator stores only the note's hash, only those with the note details know if this note has been consumed already. Zcash first introduced this approach. -

- -

+
+![Note nullifier](../../img/miden/architecture/note/nullifier.png){ width="80%" } +
## Note lifecycle -For a note to exist it must be present in the [Notes DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#notes-database) kept by the Miden Node(s). New notes are being produced when executing a transaction. They can be produced locally by users in local transactions or by the operator in a network transaction. + +For a note to exist it must be present in the [Notes DB](./state/#note-database) kept by the Miden node(s). New notes are being produced when executing a transaction. They can be produced locally by users in local transactions or by the operator in a network transaction. The lifcycle of a note is as follows: + * A new note is produced when a transaction is executed - regardless of the transaction type * Operator will receive the note hash and if the note is public, it'll also receive the corresponding note's data * Operator verifies the correctness of the underlying transaction before adding the note hash to the Notes DB * The note can now be consumed in a seperate transaction - to consume the note, the note's data must be known -* A note is consumed when the its nullifier in the [Nullifier DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#nullifier-database) is set to `1` +* A note is consumed when the its nullifier in the [Nullifier DB](./state/#nullifier-database) is set to `1` * Operator will receive the note's nullifier together with a transaction proof * After successful verification, the Operator sets the corresponding entry in the Nullifier DB to `1` diff --git a/docs/miden/architecture/state.md b/docs/miden/architecture/state.md index 396da7a48..e0462ae9f 100644 --- a/docs/miden/architecture/state.md +++ b/docs/miden/architecture/state.md @@ -1,4 +1,3 @@ -# State The state of the Miden rollup describes the current condition of all accounts and note states. It describes what is currently the case. With its state model, using concurrent offchain state, Polygon Miden aims to realise private transactions, and execution and state bloat minimization. Privacy is realised from a UTXO-like state model consisting of notes and nullifiers combined with offchain execution using zero-knowledge proofs. Execution bloat happens when transactions get re-executed by all participants of the network. State bloat describes the ever growing state stored in blockchain nodes. Polygon Miden addresses these challenges via its state model that enables concurrent offchain execution and offchain storage. @@ -16,9 +15,10 @@ The Miden Node(s) maintain three databases to describe the state: 2. A database of notes. 3. A database of nullifiers for already consumed notes. -

- -

+ +
+![State](../../img/miden/architecture/state/state.png){ width="80%" } +
These databases are represented by authenticated data structures, such that we can easily prove that items were added to or removed from a database, and a commitment to the database would be very small. @@ -27,9 +27,9 @@ Polygon Miden has two databases to capture the note states. The note database is ### Account database The latest account states - and data for onchain accounts - are recorded in a [tiered sparse Merkle tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html) which maps account IDs to account hashes and account data if needed. -

- -

+
+![Account DB](../../img/miden/architecture/state/account_DB.png){ width="80%" } +
As described in [Accounts](http://localhost:3000/architecture/accounts.html#account-storage-modes), there are three types of accounts: * **Public accounts** where all account data is stored onchain. @@ -45,9 +45,9 @@ Private accounts significantly reduce the storage overhead for nodes. A private ### Note database Notes are recorded in an append-only accumulator, a [Merkle Mountain Range](https://github.com/opentimestamps/opentimestamps-server/blob/master/doc/merkle-mountain-range.md). Each leaf is a block header which contains the commitment to all notes created in that block. The size of the Merkle Mountain Range grows logarithmically with the number of items in it. -

- -

+
+![Note DB](../../img/miden/architecture/state/note_DB.png){ width="80%" } +
As described in [Notes](http://localhost:3000/architecture/notes.html#note-storage-modes), there are two types of [notes](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html): @@ -68,9 +68,9 @@ However, the size of the note database does not grow indefinitely. Theoretically ### Nullifier database Nullifiers are stored in a [Tiered Sparse Merkle Tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html), which maps [Note Nullifiers](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#note-nullifier) to `0` or `1`. Nullifiers provide information on whether a specific note has been consumed yet. The database allows proving that a given nullifier is not in the database. -

- -

+
+![Nullifier DB](../../img/miden/architecture/state/nullifier_DB.png){ width="80%" } +
To prove that a note has not been consumed previously, the operator needs to provide a Merkle path to its node, and then show that the value in that node is `0`. In our case nullifiers are $32$ bytes each, and thus, the height of the Sparse Merkle tree need to be $256$. @@ -81,6 +81,7 @@ To be able to add new nullifiers to the database, Operators needs to maintain th There will be one tree per epoch (~3 months), and Miden nodes always store trees for at least two epochs. However, the roots of the old trees are still stored. If a user wants to consume a note that is more than $6$ month old, there must be a merkle path provided to the Miden Node for verification. ## State bloat minimization + Operators don’t need to know the entire state to verify or produce a new block. No operator is required to store the entire state. At its core, the idea is simple: Instead of storing the full state data with the operators, the users store their data, and the rollup only keeps track of commitments to the data. At least for private accounts, some smart contracts need to be publicly visible. This minimizes state bloat—as the operator doesn’t need to store an ever-growing database—and provides privacy because all other users and the operator only see a hash of other users’ data. diff --git a/mkdocs.yml b/mkdocs.yml index 204029210..b527f4961 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -281,8 +281,8 @@ nav: - Welcome: miden/introduction/index.md - Roadmap: miden/roadmap.md - Architecture: + - Architecture: miden/architecture/index.md - Accounts: miden/architecture/accounts.md - - Architecture: miden/architecture/architecture.md - Assets: miden/architecture/assets.md - Execution: miden/architecture/execution.md - Notes: miden/architecture/notes.md From 3c459fcbdcd0e19c82de5a0fa50287788d9012d4 Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 10:46:12 +0100 Subject: [PATCH 4/9] fixing images --- .../account/Account_Definition.png | Bin 71848 -> 0 bytes .../architecture/asset/Asset_Issuance.png | Bin 185382 -> 0 bytes .../architecture/asset/Asset_Storage.png 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z!82hGxGhE#{CR9#@F?MV?Unom&)6BMJ3S#pcrW(}Rg1Q*Rxje=Xs4I%I-bunp=@5vKNyc_vn<+}Ay diff --git a/docs/miden/architecture/index.md b/docs/miden/architecture/index.md index 370d34d0e..8615efd8e 100644 --- a/docs/miden/architecture/index.md +++ b/docs/miden/architecture/index.md @@ -16,19 +16,19 @@ In Miden, there are accounts and notes which can hold assets. Accounts consume a ### Accounts -[Accounts](./accounts) can hold assets and define rules how assets can be transferred. Accounts can represent users or autonomous smart contracts. This chapter describes the design, the storage types, and the creation of an account. +[Accounts](accounts.md) can hold assets and define rules how assets can be transferred. Accounts can represent users or autonomous smart contracts. This chapter describes the design, the storage types, and the creation of an account. ### Notes -[Notes](./notes) are messages that accounts send to each other. A note stores assets and a script that defines how this note can be consumed. This chapter describes the design, the storage types, and the creation of a note. +[Notes](notes.md) are messages that accounts send to each other. A note stores assets and a script that defines how this note can be consumed. This chapter describes the design, the storage types, and the creation of a note. ### Assets -[Assets](./assets) can be fungible and non-fungible. They are stored in the owner’s account itself or in a note. This chapter describes asset issuance, customization, and storage. +[Assets](assets.md) can be fungible and non-fungible. They are stored in the owner’s account itself or in a note. This chapter describes asset issuance, customization, and storage. ### Transactions -[Transactions](./transactions) describe production and consumption of notes by a single account. Executing a transaction always results in a STARK proof. This chapter describes the transaction design and the different transaction types. +[Transactions](transactions.md) describe production and consumption of notes by a single account. Executing a transaction always results in a STARK proof. This chapter describes the transaction design and the different transaction types. ##### Accounts produce and consume notes to communicate @@ -37,13 +37,16 @@ In Miden, there are accounts and notes which can hold assets. Accounts consume a ## State and Execution + The state model captures all individual states of all accounts and notes. Finally, the execution model describes state progress in a sequence of blocks. ### State model -[State](./state) describes everything that is the case at a certain point in time. Individual states of accounts or notes can be stored onchain and offchain. This chapter describes the three different state databases in Miden. + +[State](state.md) describes everything that is the case at a certain point in time. Individual states of accounts or notes can be stored onchain and offchain. This chapter describes the three different state databases in Miden. ### Execution model -[Execution](./execution) describes how the state progresses - on an individual level via transactions and at the global level expressed as aggregated state updates in blocks. This chapter describes the execution model and how blocks are built. + +[Execution](execution.md) describes how the state progresses - on an individual level via transactions and at the global level expressed as aggregated state updates in blocks. This chapter describes the execution model and how blocks are built. ##### Operators capture and progress state From dec89687d15f78bfb4d5bf8014ebd2c765d8515a Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 10:46:38 +0100 Subject: [PATCH 5/9] fixing images 2 --- .../account/account_definition.png | Bin 0 -> 71848 bytes .../architecture/asset/asset_issuance.png | Bin 0 -> 185382 bytes .../architecture/asset/asset_storage.png | Bin 0 -> 249290 bytes .../miden/architecture/execution/block.png | Bin 0 -> 89960 bytes .../architecture/execution/execution.png | Bin 0 -> 110796 bytes .../miden_architecture_core_concepts.gif | Bin 0 -> 179324 bytes .../miden_architecture_state_progress.gif | Bin 0 -> 225808 bytes docs/img/miden/architecture/note/note.png | Bin 0 -> 14147 bytes .../img/miden/architecture/note/nullifier.png | Bin 0 -> 156795 bytes .../miden/architecture/state/account_DB.png | Bin 0 -> 149948 bytes docs/img/miden/architecture/state/note_DB.png | Bin 0 -> 69744 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z!82hGxGhE#{CR9#@F?MV?Unom&)6BMJ3S#pcrW(}Rg1Q*Rxje=Xs4I%I-bunp=@5vKNyc_vn<+}Ay literal 0 HcmV?d00001 From 2299046b515d6dd5ee591adfeaed0e3a36912954 Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 11:09:06 +0100 Subject: [PATCH 6/9] committing some more changes --- .vscode/settings.json | 4 ++- docs/miden/architecture/accounts.md | 44 ++++++++++++++++------------ docs/miden/architecture/assets.md | 4 +-- docs/miden/architecture/execution.md | 3 +- docs/miden/architecture/notes.md | 24 +++++++-------- docs/miden/architecture/state.md | 31 +++++++++++--------- docs/miden/introduction/index.md | 8 ++--- 7 files changed, 66 insertions(+), 52 deletions(-) diff --git a/.vscode/settings.json b/.vscode/settings.json index f5cb1e4f0..4467eee14 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -1,5 +1,7 @@ { "cSpell.words": [ - "Miden" + "Merkle", + "Miden", + "rollups" ] } \ No newline at end of file diff --git a/docs/miden/architecture/accounts.md b/docs/miden/architecture/accounts.md index e93714649..82d96b909 100644 --- a/docs/miden/architecture/accounts.md +++ b/docs/miden/architecture/accounts.md @@ -10,16 +10,18 @@ The diagram below illustrates basic components of an account. In Miden every acc In the above picture, you can see: -* **Account ID →** a unique identifier of an account which does not change throughout its lifetime -* **Storage →** user-defined data which can be stored in an account -* **Nonce →** a counter which must be incremented whenever the account state changes -* **Vault →** a collection of assets stored in an account -* **Code →** a collection of functions which define the external interface for an account +* **Account ID →** a unique identifier of an account which does not change throughout its lifetime. +* **Storage →** user-defined data which can be stored in an account. +* **Nonce →** a counter which must be incremented whenever the account state changes. +* **Vault →** a collection of assets stored in an account. +* **Code →** a collection of functions which define the external interface for an account. ### Account ID -~63 bits (1 field element) long identifier for the account. The four most significant bits specify its [account type](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html#account-types) - regular, immutable, faucet - and the [storage mode](https://0xpolygonmiden.github.io/miden-base/architecture/accounts.html#account-storage-modes) - public or private. -### Account Storage +~63 bits (1 field element) long identifier for the account. The four most significant bits specify its [account type](accounts.md#account-types) - regular, immutable, faucet - and the [storage mode](accounts.md#account-storage-modes) - public or private. + +### Account storage + Storage for user-defined data. `AccountStorage` is composed of two components. The first component is a simple sparse Merkle tree of depth `8` which is index addressable. This provides the user with `256` `Word` slots. @@ -27,12 +29,14 @@ The first component is a simple sparse Merkle tree of depth `8` which is index a Users requiring additional storage can use the second component a `MerkleStore`. It allows users to store any Merkle structures they need. The root of the Merkle structure can be stored as a leaf in a simple sparse Merkle tree. When `AccountStorage` is serialized it will check if any of the leafs in the simple sparse Merkle tree are Merkle roots of other Merkle structures. If any Merkle roots are found then the Merkle structures will be persisted in the `AccountStorage` `MerkleStore`. ### Nonce + Counter which must be incremented whenever the account state changes. Nonce values must be strictly monotonically increasing and can be incremented by any value smaller than 2^{32} for every account update. ### Vault + Asset container for an account. -An account vault can contain an unlimited number of [assets](https://0xpolygonmiden.github.io/miden-base/architecture/assets.html). The assets are stored in a sparse +An account vault can contain an unlimited number of [assets](assets.md). The assets are stored in a sparse Merkle tree as follows: * For fungible assets, the index of a node is defined by the issuing faucet ID, and the value @@ -44,28 +48,31 @@ Merkle tree as follows: An account vault can be reduced to a single hash which is the root of the sparse Merkle tree. ### Code + Interface for accounts. In Miden every account is a smart contract. It has an interface that exposes functions that can be called by note scripts. Functions exposed by the account have the following properties: * Functions are actually roots of [Miden program MASTs](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html) (i.e., a 32-byte hash). Thus, function identifier is a commitment to the code which is executed when a function is invoked. * Only account functions have mutable access to an account's storage and vault. Therefore, the only way to modify an account's internal state is through one of the account's functions. * Account functions can take parameters and can create new notes. -*Note: Since code in Miden is expresed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change. Behind any MAST root there can only be `256` functions* +!!! note + Since code in Miden is expressed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change. Behind any MAST root there can only be `256` functions* ## Account creation -For an account to exist it must be present in the [Account DB](https://0xpolygonmiden.github.io/miden-base/architecture/state.html#account-database) kept by the Miden Node(s). However, new accounts can be created locally by users using a wallet. -The process is as follows: +For an account to exist it must be present in the [Account DB](state.md#account-database) kept by the Miden Node(s). However, new accounts can be created locally by users using a wallet. -* Alice grinds a new Account ID (according to the account types) using a wallet -* Alice's Miden Client requests the Miden Node to check if new Account ID already exists -* Alice shares the new Account ID to Bob (eg. when Alice wants to receive funds) -* Bob executes a transaction and creates a note that contains an asset for Alice -* Alice consumes Bob's note to receive the asset in a transaction -* Depending on the account storage mode (private vs. public) and transaction type (local vs. network) the Operator receives the new Account ID eventually and - if the transaction is correct - adds the ID to the Account DB +The process is as follows: +* Alice grinds a new Account ID (according to the account types) using a wallet. +* Alice's Miden Client requests the Miden Node to check if new Account ID already exists. +* Alice shares the new Account ID to Bob (eg. when Alice wants to receive funds). +* Bob executes a transaction and creates a note that contains an asset for Alice. +* Alice consumes Bob's note to receive the asset in a transaction. +* Depending on the account storage mode (private vs. public) and transaction type (local vs. network) the Operator receives the new Account ID eventually and - if the transaction is correct - adds the ID to the Account DB. ## Account types + There are four types of accounts in Miden: | | Regular updatable account | Regular immutable account | Faucet for fungible assets | Faucet for non-fungible assets | @@ -75,7 +82,8 @@ There are four types of accounts in Miden: | **Most significant bits** | `00` | `01` | `10` | `11` | ## Account storage mode -Account data - stored by the Miden Node - can be public, private, or encrypted. The third and fourth most significant bits of the account ID specifies whether the account data is public `00`, encrypted `01`, or private `11`. + +Account data - stored by the Miden node - can be public, private, or encrypted. The third and fourth most significant bits of the account ID specifies whether the account data is public `00`, encrypted `01`, or private `11`. * Accounts with **public state**, where the actual state is stored onchain. These would be similar to how accounts work in public blockchains. Smart contracts that depend on public shared state should be stored public on Miden, e.g., DEX contract. * Accounts with **private state**, where only the hash of the account is stored onchain. Users who want stay private and take care of their own data should choose this mode. The hash is defined as: `hash([account ID, 0, 0, nonce], [vault root], [storage root], [code root])`. diff --git a/docs/miden/architecture/assets.md b/docs/miden/architecture/assets.md index f3439ebdd..7330412a9 100644 --- a/docs/miden/architecture/assets.md +++ b/docs/miden/architecture/assets.md @@ -17,7 +17,7 @@ Native assets are data structures that follow the Miden asset model (encoding, i ### Issuance -Only specialized accounts called faucets can issue assets. Just like with regular accounts, anyone can create a faucet account. Faucets can issue only either fungible or non-fungible assets - but not both. The `faucet_id` identifies the faucet and is starts with a different sequence depending on the asset type, see [here](./accounts/#account-id). The faucet's code defines rules for how assets can be minted, who can mint them etc. Conceptually, faucet accounts on Miden are similar to ERC20 contracts on Ethereum. But, there is no ownership tracking in Miden faucets. +Only specialized accounts called faucets can issue assets. Just like with regular accounts, anyone can create a faucet account. Faucets can issue only either fungible or non-fungible assets - but not both. The `faucet_id` identifies the faucet and is starts with a different sequence depending on the asset type, see [here](accounts.md/#account-id). The faucet's code defines rules for how assets can be minted, who can mint them etc. Conceptually, faucet accounts on Miden are similar to ERC20 contracts on Ethereum. But, there is no ownership tracking in Miden faucets. Faucets can create assets and immediately distribute them by producing notes. However, assets can also stay in the faucet after creation to be sent later, e.g., in a bundle. That way, one can mint a million NFTs locally in a single transaction and then send them out as needed in separate transactions in the future. @@ -39,7 +39,7 @@ Examples of non-fungible assets are all NFTs, e.g., a DevCon ticket. The ticket' ### Storage -[Accounts](./accounts) and [notes](./notes) contain asset vaults that are used to store assets. Accounts can keep unlimited assets in a [tiered sparse Merkle tree](../crypto-primitives/tsmt) called `account vault`. Notes can only store up to `255` distinct assets. +[Accounts](accounts.md) and [notes](notes.md) contain asset vaults that are used to store assets. Accounts can keep unlimited assets in a [tiered sparse Merkle tree](../crypto-primitives/tsmt.md) called `account vault`. Notes can only store up to `255` distinct assets.
![Asset storage](../../img/miden/architecture/asset/asset_storage.png){ width="50%" } diff --git a/docs/miden/architecture/execution.md b/docs/miden/architecture/execution.md index 2692da304..709c3b068 100644 --- a/docs/miden/architecture/execution.md +++ b/docs/miden/architecture/execution.md @@ -8,7 +8,7 @@ Polygon Miden is an Ethereum rollup. It batches transactions - or more precisely Every transaction will result in a zkProof that attests to its correctness. -As mentioned in [transactions](./transactions), there are two types of transactions: local and network. For every transaction there is a proof which is either created by the user in the Miden Client or by the Operator using the Miden Node. +As mentioned in [transactions](transactions.md), there are two types of transactions: local and network. For every transaction there is a proof which is either created by the user in the Miden Client or by the Operator using the Miden Node. ## Transaction batching @@ -37,6 +37,7 @@ A block produced by the Miden Node looks somewhat like this: * The block also contains full account and note data for public accounts and notes. For example, if account `123` is a public account which was updated, in the state updates section we'd have a records for it as `(123, 0x456..)`. The full new state of this account (which should hash to `0x456..`) would be included in a separate section. To verify that a block describes a valid state transition, we do the following: + 1. Compute hashes of public account and note states. 2. Make sure these hashes match records in the *state updates* section. 3. Verify the included ZKP against the following public inputs: diff --git a/docs/miden/architecture/notes.md b/docs/miden/architecture/notes.md index 946158c76..4479c1c02 100644 --- a/docs/miden/architecture/notes.md +++ b/docs/miden/architecture/notes.md @@ -21,7 +21,7 @@ Asset container for a note. A note vault can contain up to `255` assets stored i ### Script -Unlike an account, a note has a single executable script. This script will be executed in a [transaction](./transactions). This script is also the root of a [Miden program MAST](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html). A script is always executed in the context of a single account, and thus, may invoke account's functions. A note's script can call zero or more of an account's function. +Unlike an account, a note has a single executable script. This script will be executed in a [transaction](transactions.md). This script is also the root of a [Miden program MAST](https://0xpolygonmiden.github.io/miden-vm/user_docs/assembly/main.html). A script is always executed in the context of a single account, and thus, may invoke account's functions. A note's script can call zero or more of an account's function. !!! note Since code in Miden is expressed as MAST, every function is a commitment to the underlying code. The code cannot change unnoticed to the user because its hash would change.* @@ -44,7 +44,7 @@ For every note the Miden operator stores metadata in the note DB. This metadata ## Note storage modes -Similar to accounts, there are two storage modes for notes in Miden. Notes can be stored privately in the [Notes DB](./state/#note-database) with only the note hash. Or notes can be stored publicly with all data. +Similar to accounts, there are two storage modes for notes in Miden. Notes can be stored privately in the [Notes DB](state.md/#note-database) with only the note hash. Or notes can be stored publicly with all data. Privately stored notes can only be consumed if the note data is known to the consumer. That means, there must be some off-chain communication to transmit the note's data from the sender to the recipient. @@ -65,7 +65,7 @@ the VM. ## Note nullifier -The nullifier is the note's index in the [Nullifier DB](./notes/#note-nullifier). The Nullifier DB stores the information whether a note was already consumed. +The nullifier is the note's index in the [Nullifier DB](notes.md/#note-nullifier). The Nullifier DB stores the information whether a note was already consumed. The nullifier is computed as `hash(serial_num, script_hash, input_hash, vault_hash)`. @@ -83,14 +83,14 @@ To know a note’s nullifier, one needs to know all details of the note. That me ## Note lifecycle -For a note to exist it must be present in the [Notes DB](./state/#note-database) kept by the Miden node(s). New notes are being produced when executing a transaction. They can be produced locally by users in local transactions or by the operator in a network transaction. +For a note to exist it must be present in the [Notes DB](state.md/#note-database) kept by the Miden node(s). New notes are being produced when executing a transaction. They can be produced locally by users in local transactions or by the operator in a network transaction. -The lifcycle of a note is as follows: +The life-cycle of a note is as follows: -* A new note is produced when a transaction is executed - regardless of the transaction type -* Operator will receive the note hash and if the note is public, it'll also receive the corresponding note's data -* Operator verifies the correctness of the underlying transaction before adding the note hash to the Notes DB -* The note can now be consumed in a seperate transaction - to consume the note, the note's data must be known -* A note is consumed when the its nullifier in the [Nullifier DB](./state/#nullifier-database) is set to `1` -* Operator will receive the note's nullifier together with a transaction proof -* After successful verification, the Operator sets the corresponding entry in the Nullifier DB to `1` +* A new note is produced when a transaction is executed - regardless of the transaction type. +* Operator will receive the note hash and if the note is public, it'll also receive the corresponding note's data. +* Operator verifies the correctness of the underlying transaction before adding the note hash to the Notes DB. +* The note can now be consumed in a separate transaction - to consume the note, the note's data must be known. +* A note is consumed when the its nullifier in the [Nullifier DB](state.md/#nullifier-database) is set to `1`. +* Operator will receive the note's nullifier together with a transaction proof. +* After successful verification, the Operator sets the corresponding entry in the Nullifier DB to `1`. diff --git a/docs/miden/architecture/state.md b/docs/miden/architecture/state.md index e0462ae9f..e6418ebd6 100644 --- a/docs/miden/architecture/state.md +++ b/docs/miden/architecture/state.md @@ -1,55 +1,57 @@ -The state of the Miden rollup describes the current condition of all accounts and note states. It describes what is currently the case. With its state model, using concurrent offchain state, Polygon Miden aims to realise private transactions, and execution and state bloat minimization. +giThe state of the Miden rollup describes the current condition of all accounts and note states. It describes what is currently the case. With its state model, using concurrent off-chain state, Polygon Miden aims to realize private transactions, and execution and state bloat minimization. -Privacy is realised from a UTXO-like state model consisting of notes and nullifiers combined with offchain execution using zero-knowledge proofs. Execution bloat happens when transactions get re-executed by all participants of the network. State bloat describes the ever growing state stored in blockchain nodes. Polygon Miden addresses these challenges via its state model that enables concurrent offchain execution and offchain storage. +Privacy is realized from a UTXO-like state model consisting of notes and nullifiers combined with off-chain execution using zero-knowledge proofs. Execution bloat happens when transactions get re-executed by all participants of the network. State bloat describes the ever growing state stored in blockchain nodes. Polygon Miden addresses these challenges via its state model that enables concurrent off-chain execution and off-chain storage. | | Minimize execution bloat | Minimize state bloat | |---|---|---| -| **Result of** | Verfifying state by re-executing | Storing all data onchain as state | +| **Result of** | Verifying state by re-executing | Storing all data onchain as state | | **Zero-knowledge helps with** | Transactions executed only once | No need to know full state to validate blocks | | **Concurrent state model helps with** | Transactions executed concurrently by distinct actors | No need to kow full state to produce blocks | - ## State components + The Miden Node(s) maintain three databases to describe the state: + 1. A database of accounts. 2. A database of notes. 3. A database of nullifiers for already consumed notes. -
![State](../../img/miden/architecture/state/state.png){ width="80%" }
These databases are represented by authenticated data structures, such that we can easily prove that items were added to or removed from a database, and a commitment to the database would be very small. -Polygon Miden has two databases to capture the note states. The note database is append-only and stores all notes permanently. The nullifier database stores nullifiers that indicate that a note has been previsously consumed. Separating note storage into these two databases gives Polygon Miden client-side proving and advanced privacy. +Polygon Miden has two databases to capture the note states. The note database is append-only and stores all notes permanently. The nullifier database stores nullifiers that indicate that a note has been previously consumed. Separating note storage into these two databases gives Polygon Miden client-side proving and advanced privacy. ### Account database -The latest account states - and data for onchain accounts - are recorded in a [tiered sparse Merkle tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html) which maps account IDs to account hashes and account data if needed. + +The latest account states - and data for onchain accounts - are recorded in a [tiered sparse Merkle tree](../crypto-primitives/tsmt.md) which maps account IDs to account hashes and account data if needed.
![Account DB](../../img/miden/architecture/state/account_DB.png){ width="80%" }
-As described in [Accounts](http://localhost:3000/architecture/accounts.html#account-storage-modes), there are three types of accounts: +As described in [Accounts](accounts.md#account-storage-modes), there are three types of accounts: + * **Public accounts** where all account data is stored onchain. * **Encrypted accounts** where where the account data is stored onchain but in encrypted text. * **Private accounts** where only the hashes of accounts are stored onchain. Private accounts significantly reduce the storage overhead for nodes. A private account contributes only $40$ bytes to the global state ($8$ bytes account ID + $32$ bytes account hash). Or, said another way, 1 billion private accounts takes up only $40$ GB of state. - - -> Losing the state of a private account would mean loss of funds (as the user won't be able to execute transactions) in a similar manner as a loss of a private key would. This problem can be easily mitigated by storing encrypted account state in a cloud or backing it up somewhere else. Unlike storing private keys in the cloud, this does not compromise privacy or security of an account. +!!! info + Losing the state of a private account would mean loss of funds (as the user won't be able to execute transactions) in a similar manner as a loss of a private key would. This problem can be easily mitigated by storing encrypted account state in a cloud or backing it up somewhere else. Unlike storing private keys in the cloud, this does not compromise privacy or security of an account. ### Note database + Notes are recorded in an append-only accumulator, a [Merkle Mountain Range](https://github.com/opentimestamps/opentimestamps-server/blob/master/doc/merkle-mountain-range.md). Each leaf is a block header which contains the commitment to all notes created in that block. The size of the Merkle Mountain Range grows logarithmically with the number of items in it.
![Note DB](../../img/miden/architecture/state/note_DB.png){ width="80%" }
-As described in [Notes](http://localhost:3000/architecture/notes.html#note-storage-modes), there are two types of [notes](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html): +As described in [Notes](notes.md#note-storage-modes), there are two types of [notes](notes.md): * **Public notes** where the entire note content is recorded in the state. * **Private notes** where only a note's hash is recorded in the state. @@ -66,7 +68,8 @@ Both of these properties are needed for supporting local transactions using clie However, the size of the note database does not grow indefinitely. Theoretically, at high tps, it would grow very quickly: at $1$K TPS there would be about $1$TB/year added to the database. But, only the unconsumed public notes and enough info to construct membership proofs against them need to be stored explicitly. Private notes, as well as public notes which have already been consumed, can be safely discarded. Such notes would still remain in the accumulator, but there is no need to store them explicitly as the append-only accumulator can be updated without knowing all items stored in it. This reduces actual storage requirements to a fraction of the database's nominal size. ### Nullifier database -Nullifiers are stored in a [Tiered Sparse Merkle Tree](https://0xpolygonmiden.github.io/miden-base/crypto-primitives/tsmt.html), which maps [Note Nullifiers](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#note-nullifier) to `0` or `1`. Nullifiers provide information on whether a specific note has been consumed yet. The database allows proving that a given nullifier is not in the database. + +Nullifiers are stored in a [Tiered Sparse Merkle Tree](../crypto-primitives/tsmt.md), which maps [Note Nullifiers](notes.md#note-nullifier) to `0` or `1`. Nullifiers provide information on whether a specific note has been consumed yet. The database allows proving that a given nullifier is not in the database.
![Nullifier DB](../../img/miden/architecture/state/nullifier_DB.png){ width="80%" } @@ -76,7 +79,7 @@ To prove that a note has not been consumed previously, the operator needs to pro To be able to add new nullifiers to the database, Operators needs to maintain the entire nullifier set. Otherwise, they would not be able to compute the new root of the tree. -*Note: Nullifiers as constructed in Miden break linkability of privately stored notes and the information about the note's consumption. To know the [note's nullifier](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#note-nullifier) one must know the note's data. +*Note: Nullifiers as constructed in Miden break linkability of privately stored notes and the information about the note's consumption. To know the [note's nullifier](notes.md#note-nullifier) one must know the note's data. There will be one tree per epoch (~3 months), and Miden nodes always store trees for at least two epochs. However, the roots of the old trees are still stored. If a user wants to consume a note that is more than $6$ month old, there must be a merkle path provided to the Miden Node for verification. diff --git a/docs/miden/introduction/index.md b/docs/miden/introduction/index.md index e163e0d2b..3ac9e9a3e 100644 --- a/docs/miden/introduction/index.md +++ b/docs/miden/introduction/index.md @@ -12,7 +12,7 @@ This documentation explains how to develop on Miden. Furthermore, it explains th * [Discord](https://discord.gg/0xpolygondevs) * [Repo](https://github.com/0xPolygonMiden) -* [Roadmap](../roadmap) +* [Roadmap](../roadmap.md) ## Miden creates a new design space secured by Ethereum @@ -27,9 +27,9 @@ Unlike most other rollups, Polygon Miden prioritizes ZK-friendliness over EVM co * Ethereum security. * Developers can build applications infeasible on other systems, for example: - * *On-chain order book exchanges* due to parallel tx exectuion and updatable transactions. - * *Complex, incomplete information games* due to client-side proving and cheap complex computations. - * *Safe wallets* due to assets being stored in the accounts and account state can be hidden. + * On-chain order book exchanges due to parallel tx execution and updatable transactions. + * Complex, incomplete information games due to client-side proving and cheap complex computations. + * Safe wallets due to assets being stored in the accounts and account state can be hidden. * Better privacy properties than on Ethereum - first web2 privacy, later even stronger privacy guarantees. * Transactions can be recalled and updated. From a8eefee7d566c6b759806c95ebc7195df324d3e6 Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 11:24:35 +0100 Subject: [PATCH 7/9] latest changes --- docs/miden/architecture/transactions.md | 40 ++++++++++------- .../crypto-primitives/crypto-primitives.md | 0 docs/miden/crypto-primitives/tsmt.md | 43 +++++++++---------- mkdocs.yml | 3 +- 4 files changed, 45 insertions(+), 41 deletions(-) delete mode 100644 docs/miden/crypto-primitives/crypto-primitives.md diff --git a/docs/miden/architecture/transactions.md b/docs/miden/architecture/transactions.md index 9630883ad..8bf10c95d 100644 --- a/docs/miden/architecture/transactions.md +++ b/docs/miden/architecture/transactions.md @@ -1,10 +1,10 @@ -# Transactions Asset transfers between accounts are done by executing transactions. Miden aims for parallel and private transaction execution. Therefore, a transaction is always performed against a single account which provides asynchronicity. And, every transaction causes a provable state-change and a STARK proof thereof. Thus, when executed locally, it provides privacy. ## Transaction design + Transactions can be described as state-transition function T that takes an account and `0 to n` notes to map it to another version of that account and produces `0 to n` notes -$ +$$ T(A, \sum_{\substack{ 0 \leq i < 1024 }} @@ -12,8 +12,7 @@ T(A, \sum_{\substack{ 0 \leq j < 4096 }} N(j)) -$ -, where $ A \in { Accounts }$, $N \in { Notes }, 0 < i + j $ +, where $ A \in { Accounts }$, $N \in { Notes }, 0 < i + j $$ A transaction must include an executable program in addition to inputs and outputs. The transaction program has a well-defined structure and must perform the following functions: @@ -23,17 +22,20 @@ A transaction must include an executable program in addition to inputs and outpu 4. Create a uniform vault for all outputs. 5. Ensure that the assets in the unified input and output vaults are the same. -### Transaction inputs and outputs +### Inputs and outputs + As inputs, a transaction accepts the state of one single account and up to `1023` notes for consumption. Optionally, it also takes a user defined script which is executed after all input notes have been consumed. The transaction's output will consist of that single account and up to `4096` newly created notes. -### Transaction program +### Program + In addition to specifying inputs and outputs, a transaction must also include an executable program. The transaction program has a well-defined structure which must do the following: A user-defined transaction script can also be included in a transaction. -The last point ensures that a transaction does not create or destroy any assets. A transaction can also include a user-defined transaction script. A transaction script is different to the [note scripts](https://0xpolygonmiden.github.io/miden-base/architecture/notes.html#script) that are executed during a transaction. +The last point ensures that a transaction does not create or destroy any assets. A transaction can also include a user-defined transaction script. A transaction script is different to the [note scripts](notes.md#script) that are executed during a transaction. + +## Execution steps -## Execution steps of a transaction Transaction execution consists of several steps. These steps are described below: 1. **Prologue**: during this step we build a single unified vault all all transaction inputs (account + notes). @@ -41,11 +43,12 @@ Transaction execution consists of several steps. These steps are described below 3. **Epilogue**: during this step we build a single unified vault of all transaction outputs (account + notes), and make sure it contains the same assets as the input vault. ## Asset transfer using two transactions + Under this model transferring assets between accounts requires two transactions as shown in the diagram below. -

- -

+
+![Transaction flows](../../img/miden/architecture/transaction/transaction_flow.png){ width="80%" } +
The first transaction invokes a function on `account_a` (e.g., "send" function) which creates a new note and also updates the internal state of `account_a`. The second transaction consumes the note which invokes a function on `account_b` (e.g., "receive" function), which also updates the internal state of `account_b`. @@ -57,19 +60,24 @@ It is important to note that both transactions can be executed asynchronously: f * Both transactions can be executed "locally". For example, we could generate a ZKP proving that `transaction1` was executed and submit it to the network. The network can verify the proof without the need for executing the transaction itself. Same can be done for `transaction2`. Moreover, we can mix and match. For example, `transaction1` can be executed locally, but `transaction2` can be executed on the network, or vice-versa. ## Local vs. network transactions + There are two types of transactions in Miden: local transactions and network transactions. -

- -

+
+![Local vs network transactions](../../img/miden/architecture/transaction/local_vs_network_transaction.png){ width="80%" } +
-For **local transactions**, clients executing the transactions also generate the proofs of their correct execution. So, no additional work needs to be performed by the network. Local transactions are useful for several reasons: +### Local + +Clients executing the transactions also generate the proofs of their correct execution. So, no additional work needs to be performed by the network. Local transactions are useful for several reasons: 1. They are cheaper (i.e., lower fees) as ZKPs are already generated by the clients. 2. They allow fairly complex computations because the proof size doesn't grow linearly with the complexity of the computation. 3. They enable privacy as neither the account state nor account code are needed to verify the ZKP. -For **network transactions**, the operator will execute the transaction and generate the proofs. Network transactions are useful for two reasons: +### Network + +The operator will execute the transaction and generate the proofs. Network transactions are useful for two reasons: 1. Clients may not have sufficient resources to generate ZK proofs. 2. Executing many transactions against the same public account by different clients would be challenging as the account state would change after every transaction. In this case, the Miden Node / Operator acts as a "synchronizer" as they can execute transactions sequentially and feed the output of the previous transaction into the subsequent one. diff --git a/docs/miden/crypto-primitives/crypto-primitives.md b/docs/miden/crypto-primitives/crypto-primitives.md deleted file mode 100644 index e69de29bb..000000000 diff --git a/docs/miden/crypto-primitives/tsmt.md b/docs/miden/crypto-primitives/tsmt.md index bf46945a2..1fe5c7b6b 100644 --- a/docs/miden/crypto-primitives/tsmt.md +++ b/docs/miden/crypto-primitives/tsmt.md @@ -1,52 +1,49 @@ -# Tiered Sparse Merkle Tree (TSMT) -A sparse Merkle tree (SMT) is a cryptographic data structure that allows authenticated manipulations of a key-value store, i.e. a dictionary. It is a Merkle tree because it is -a binary tree in which each leaf node represents a key-value pair, and each non-leaf node represents the hash of the concatenation of its two child nodes. The index of the -leaf node in the tree corresponds to the key and the data stored in this node corresponds to the value. This implies that the depth of such a tree is logarithmic in the size of the key space, which implies that, for most key spaces used in practice, such a tree is impractical if done naively. However, the tree is sparse, i.e. it is going to be made up of mostly empty leaves, which in turn implies that most sub-trees are empty with roots that can be pre-computed. -A major issue with SMTs is the fact that operations scale with the size of the key space, meaning, for example, that if our key space has size $~ 2^{256}$, then performing any operation on the key-value store, for example, an update, will require performing $256$ hashing operations. This is undesirable both inside as well as outside the STARK. +A sparse Merkle tree (SMT) is a cryptographic data structure that allows authenticated manipulations of a key-value store, i.e. a dictionary. It is a Merkle tree because it is a binary tree in which each leaf node represents a key-value pair, and each non-leaf node represents the hash of the concatenation of its two child nodes. +The index of the leaf node in the tree corresponds to the key and the data stored in this node corresponds to the value. This implies that the depth of such a tree is logarithmic in the size of the key space, which implies that, for most key spaces used in practice, such a tree is impractical if done naively. However, the tree is sparse, i.e. it is going to be made up of mostly empty leaves, which in turn implies that most sub-trees are empty with roots that can be pre-computed. -A common solution to this issue is to keep only non-empty leaves in the tree, which in practice means that sub-trees with only one non-empty child are replaced with the sub-tree rooted at that non-empty child. Here's an example of this: +A major issue with SMTs is the fact that operations scale with the size of the key space, meaning, for example, that if our key space has size $~ 2^{256}$, then performing any operation on the key-value store, for example, an update, will require performing $256$ hashing operations. This is undesirable both inside as well as outside the STARK. -

- -

+A common solution to this issue is to keep only non-empty leaves in the tree, which in practice means that sub-trees with only one non-empty child are replaced with the sub-tree rooted at that non-empty child. Here's an example of this: +
+![tsmt compaction example](../../img/miden/crypto-primitives/tsmt/tsmt_compaction_example.svg){ width="80%" } +
Compaction implies then that the tree depth is logarithmic in the size of the dictionary entries as opposed to the size of the key space. This, in turn, means that the number of hashing required for executing operations on the key-value map scales logarithmically in the size of the map. -The first documented implementation of a compact SMT was described [here](https://github.com/proofchains/python-proofmarshal/blob/master/proofmarshal/merbinnertree.py). This implementation relies on augmenting nodes with -a field called `prefix` which is the longest common prefix of all childs of a given node. This means that internal nodes are hashes of a left and right child together with `prefix`, i.e. `(LEFT || RIGHT || PREFIX)`. Leaf nodes are hashes of just the key-value pair. In addition, domain separation is used to distinguish -between an internal and a leaf node by appending a `0` or `1` before hashing. +The first documented implementation of a compact SMT was described [here](https://github.com/proofchains/python-proofmarshal/blob/master/proofmarshal/merbinnertree.py). This implementation relies on augmenting nodes with a field called `prefix` which is the longest common prefix of all childs of a given node. This means that internal nodes are hashes of a left and right child together with `prefix`, i.e. `(LEFT || RIGHT || PREFIX)`. Leaf nodes are hashes of just the key-value pair. In addition, domain separation is used to distinguish between an internal and a leaf node by appending a `0` or `1` before hashing. + A disadvantage of this implementation, as well as all known implementations of compact SMTs, is the reliance of their operations on bit-wise manipulations. This makes them very expensive to implement inside Miden VM. Tiered sparse Merkle trees (TSMT) are a result of the idea that one can trade hashing for more efficient bit-wise operations. More precisely, in TSMT, compaction happens only at certain pre-specified tiers and this leads to simpler bit-wise manipulations. In the case of Miden VM, compaction happens at depths `16`, `32`, `48` and `64`. To illustrate this, consider the following example where the keys have length 4, i.e. the SMT has depth 4. -

- -

+
+![tsmt non compact](../../img/miden/crypto-primitives/tsmt/tsmt_non_compact.svg){ width="80%" } +
If we choose the tiers to be at depths 2 and 4 then the compact version of the above tree will look like -

- -

+
+![tsmt compact 2](../../img/miden/crypto-primitives/tsmt/tsmt_compact_2.svg){ width="80%" } +
If, however, we choose compaction at all possible depths we get a compact SMT that is similar to the [Jellyfish SMT](https://developers.diem.com/papers/jellyfish-merkle-tree/2021-01-14.pdf) -

- -

+
+![tsmt compact 2](../../img/miden/crypto-primitives/tsmt/tsmt_compact_1.svg){ width="80%" } +
We can see that a TSMT is a parametrized SMT, where the parameter is the number of tiers, that interpolates between a plain SMT with no compaction and a (fully) compact SMT with compaction allowed at evey depth. - The Miden VM TSMT is a map from a key-space of size approximately `256`-bit to a value-space of the same size and are represented by four $64$-bit field elements in the Miden VM native field, i.e. a `Word`. Athough keys are `256`-bit long the maximal tree depth that is allowed is `64`. This has several consequences: 1. Limiting the tree depth to `64` means that we can use one of the four field elements making up the (full) key as the (compact) key in the TSMT. We choose the 4th field element to act as the (compact) key since when loading the (full) key on the operand stack, the 4th field element will be at the tip of the operand stack and thus will be easier to access. Using a single field element to act as the (compact) key implies that we can levarage the native instructions of the Miden VM to manipulate it during the course of operations on the TSMT inside the VM. 2. In order to deal with keys sharing a common prefix of length greater than `64`, we introduce a special type of leaf nodes at depth `64`. These leaf nodes are a sorted list of `(key, value)` pairs where sorting is done using `key`. Notice that all pairs in the sorted list have the same first part of the key, namely they share a common `64`-bit prefix , and that all pairs with the same first part of the key belong in the same sorted list. The decision to go with a sorted list of pairs instead of a standard sub-tree node with multiple childs at depth `80` sharing the same `64`-bit prefix is partially motivated by the fact that, for most scenarios related to Miden VM, the probability that two distinct keys will end up sharing a common prefix of length greater than or equal to `64` is very low, and even feasible grinding attacks can only make the sorted list on slightly longer than a dozen of elements and with very little clear benefits. Thus putting all pairs with the same first part of the key in a sorted list is a good tradeoff for dealing with prefixes of length greater than `64`. The Miden VM TSMT has three types of nodes: -1. Internal nodes with a left and right child, and value computed as: `Hash(left || right)` + +1. Internal nodes with a left and right child, and value computed as: `Hash(left || right)`. 2. Leaf nodes at depths `16`, `32` and `48` with value computed as: `Hash(rem_key || value; domain=depth)` where: 1. `depth` is the depth of the node, i.e. either `16`, `32` or `48`. 2. `rem_key` is the the remaining key after either the `16`, `32` or `48`-bit prefix is removed depending on the depth of the node. diff --git a/mkdocs.yml b/mkdocs.yml index b527f4961..591549bab 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -289,9 +289,8 @@ nav: - State: miden/architecture/state.md - Transactions: miden/architecture/transactions.md - Crypto primitives: - - Crypto primitives: miden/crypto-primitives/crypto-primitives.md - Tiered sparce Merkle tree (TSMT): miden/crypto-primitives/tsmt.md - - Miden VM docs: https://0xpolygonmiden.github.io/miden-vm/ + # - Miden VM docs: https://0xpolygonmiden.github.io/miden-vm/ - Developer tools: - Developer tools: tools/index.md - Smart contract development: From 4d6e011755bb92ffaa8cb648af47968fc53f2698 Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 14:28:24 +0100 Subject: [PATCH 8/9] final commit of this miden chunk --- mkdocs.yml | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/mkdocs.yml b/mkdocs.yml index 591549bab..1c547f17f 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -276,21 +276,21 @@ nav: - Miden: - Miden: miden/index.md - Overview: miden/overview.md - - Miden zkRollup docs: + - Roadmap: miden/roadmap.md + - Miden rollup docs: - Introduction: - Welcome: miden/introduction/index.md - - Roadmap: miden/roadmap.md - Architecture: - Architecture: miden/architecture/index.md - Accounts: miden/architecture/accounts.md - - Assets: miden/architecture/assets.md - - Execution: miden/architecture/execution.md - Notes: miden/architecture/notes.md - - State: miden/architecture/state.md + - Assets: miden/architecture/assets.md - Transactions: miden/architecture/transactions.md + - State: miden/architecture/state.md + - Execution: miden/architecture/execution.md - Crypto primitives: - Tiered sparce Merkle tree (TSMT): miden/crypto-primitives/tsmt.md - # - Miden VM docs: https://0xpolygonmiden.github.io/miden-vm/ + - Miden VM docs: https://0xpolygonmiden.github.io/miden-vm/ - Developer tools: - Developer tools: tools/index.md - Smart contract development: From 155777262a77f4b82d69d37e087d2534812e2799 Mon Sep 17 00:00:00 2001 From: kmurphypolygon Date: Thu, 14 Dec 2023 17:47:19 +0100 Subject: [PATCH 9/9] add ignore --- .gitignore | 1 + 1 file changed, 1 insertion(+) diff --git a/.gitignore b/.gitignore index f5a189c8c..600c3dd66 100755 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,4 @@ +.vscode/ .code .idea site/

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