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@@ -1274,6 +1274,13 @@ Those proposing changes should consider that ultimately consent may rest with th
 | Gloria Zhao
 | Informational
 | Draft
+|-
+| [[bip-PC.md|PC]]
+| Consensus (soft fork)
+| OP_PAIRCOMMIT
+| moonsettler
+| Standard
+| Draft
 |}
 
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+<pre>
+  BIP: ?
+  Layer: Consensus (soft fork)
+  Title: OP_PAIRCOMMIT
+  Author: moonsettler <moonsettler@protonmail.com>
+  Comments-Summary: No comments yet.
+  Comments-URI: <links to wiki page for comments>
+  Status: Draft
+  Type: Standards Track
+  Created: 2024-11-08
+  License: BSD-3-CLAUSE
+</pre>
+
+## Abstract
+
+This BIP describes a new tapscript opcode `OP_PAIRCOMMIT` which
+provides limited vector commitment functionality in tapscript.
+
+When evaluated, the `OP_PAIRCOMMIT` instruction:
+* Pops the top two values off the stack,
+* takes the "PairCommit" tagged SHA256 hash of the stack elements,
+* pushes the resulting commitment on the top of the stack.
+
+## Motivation
+
+To do LN-Symmetry contracts that don't require the nodes to keep old states,
+we need to solve the data availability problem presented by unilateral closes.
+Channel peers must be able to reconstruct the script that spends an
+intermediate state.
+
+Using in sequence `OP_CHECKTEMPLATEVERIFY`, `OP_PAIRCOMMIT`, `OP_INTERNALKEY`
+and `OP_CHECKSIGFROMSTACK` we can construct a [rebindable channel](
+#use-in-ln-symmetry) that is also optimal.
+
+The number of SHA256 iterations is minimized in the primary use case we
+can optimize for, which is LN-Symmetry. Since the Tag can be pre-computed as
+mid-state, it would only take 1 or 2 hash cycles in validation for the
+unilateral close scenario.
+
+## Specification
+
+Repurpose opcode 205 (currently `OP_SUCCESS`) as follows:
+
+`OP_PAIRCOMMIT` pops two elements off the stack, then concatenates them along
+with their size commitments and takes the tagged SHA256 hash of that
+concatenated string, then pushes the resulting hash back on the stack.
+
+Given the stack `[x1, x2]`, where `x2` is at the top of the stack:
+
+`OP_PAIRCOMMIT` will push `SHA256(tagPC|cs(x1)|x1|cs(x2)|x2)` onto the stack.
+
+Where `|` denotes concatenation and `tagPC` is calculated according to
+[BIP-340] tagged hash as `SHA256("PairCommit")|SHA256("PairCommit")` and
+`cs(x)` means `CompactSize(x)`.
+
+### Implementation
+
+```c++
+case OP_PAIRCOMMIT: {
+    // OP_PAIRCOMMIT is only available in Tapscript
+    // ...
+    // x1 x2 -- hash
+    if (stack.size() < 2) {
+        return set_error(serror, SCRIPT_ERR_INVALID_STACK_OPERATION);
+    }
+    const valtype& vch1 = stacktop(-2);
+    const valtype& vch2 = stacktop(-1);
+
+    uint256 hash = PairCommitHash(vch1, vch2);
+
+    popstack(stack);
+    popstack(stack);
+    stack.emplace_back(hash.begin(), hash.end());
+    break;
+}
+```
+```c++
+const HashWriter HASHER_PAIRCOMMIT{TaggedHash("PairCommit")};
+
+uint256 PairCommitHash(const std::vector<unsigned char>& x1, const std::vector<unsigned char>& x2)
+{
+    return (HashWriter{HASHER_PAIRCOMMIT} << x1 << x2).GetSHA256();
+}
+```
+### Use in script
+
+`OP_PAIRCOMMIT` can be used to commit to a vector of stack elements in a way
+that is not vulnerable to various forms of witness malleability. It is however,
+highly optimized for just 2 stack elements.
+
+```text
+# pc-hash = PC(a, PC(b, c))
+
+<a> <b> <c> | PC PC <pc-hash> OP_EQUALVERIFY
+```
+
+### Use in LN-Symmetry
+
+The following assembly-like pseudo-code shows a possible LN-Symmetry channel
+construction, that provides data availability to spend to the latest state from
+an earlier state pushed on-chain with a forced close by channel partner.
+
+
+```text
+# S = 500000000
+# IK -> A+B
+<sig> <state-n-recovery-data> <state-n-hash> | CTV PC IK CSFS <S+1> CLTV DROP
+```
+before funding sign first state template:
+```text
+# state-n-hash { nLockTime(S+n), out(contract, amount(A)+amount(B)) }
+# settlement-n-hash { nSequence(2w), out(A, amount(A)), out(B, amount(B)) }
+# state-n-recovery-data { settlement-n-hash or state-n-balance }
+
+# contract for state n < m
+IF
+  <sig> <state-m-recovery-data> <state-m-hash> | CTV PC IK CSFS <S+n+1> CLTV DROP
+ELSE
+  <settlement-n-hash> CTV
+ENDIF
+```
+## Reference Implementation
+
+A reference implementation is provided here:
+
+https://github.com/lnhance/bitcoin/pull/6/files
+
+## Rationale
+
+If `OP_CAT` was available, it could be used to combine multiple stack elements,
+that get verified with `OP_CHECKSIGFROMSTACK` as a valid state update.
+
+`OP_PAIRCOMMIT` solves this specific problem without introducing a wide range
+of potentially controversial new behaviors, such as novel 2-way peg mechanisms.
+
+`OP_RETURN` could also be used for ensuring the availability of the state
+recovery data as `OP_CHECKTEMPLATEVERIFY` naturally commits to all outputs.
+However the cost of that would be over 4 times higher in weight units.
+
+### Behaviours LNhance tries to avoid introducing
+
+The following behaviors are out of scope for LNhance and should not be enabled
+as a side effect without explicit consensus:
+
+* Fine grained introspection
+* State carrying covenants
+* Bigint operations
+* New arithmetic capabilities using lookup tables
+
+### Alternative approaches
+
+The following list of alternative approaches were discussed and rejected for
+various reasons, either for expanding the scope or for unnecessary complexity:
+
+* OP_CAT
+* SHA256 streaming opcodes
+* Merkle operation opcodes
+* 'Kitty' CAT: result or inputs arbitrarily limited in size
+* OP_CHECKTEMPLATEVERIFY committing to the taproot annex in tapscript
+* OP_CHECKSIGFROMSTACK on n elements as message
+* OP_VECTORCOMMIT: generalized form for n > 2 elements
+
+### Proving general computation
+
+Merkle trees can be used to prove out computation where the root of the tree
+represents the *function* and the leaves represent the *inputs* and *output*.
+There are practical limits to the entropy space for the *inputs* as it needs
+to be iterated over and hashed up.
+
+Currently MAST trees can cover 128 bits of entropy space, which is well over
+the practical limits to iterate over and merklize. Therefore we assume this
+capability does not materially extend what computations are possible to prove
+out in bitcoin script. While `OP_PAIRCOMMIT` is not limited to a height of 128,
+that should not be practically feasible to utilize.
+
+There is a way to reduce the size of the witness for proving out computation,
+by eliminating the merkle path inclusion proofs, using `OP_CHECKSIGFROMSTACK`
+together with `OP_PAIRCOMMIT`. This method involves deleted key assumptions,
+most likely using MPC to create an enormous amount of signatures for the stack
+elements representing the *inputs* and the *output* of the *function*.
+
+## Backward Compatibility
+
+By constraining the behavior of OP_SUCCESS opcodes, deployment of the BIP
+can be done in a backwards compatible, soft-fork manner. If anyone were to
+rely on the OP_SUCCESS behavior of `OP_SUCCESS205`, `OP_PAIRCOMMIT` would
+invalidate their spend.
+
+## Deployment
+
+TBD
+
+## Credits
+
+Jeremy Rubin, Brandon Black, Salvatore Ingala, Anthony Towns, Ademan555
+
+## Copyright
+
+This document is licensed under the 3-clause BSD license.
+
+## References
+
+1. LNhance bitcoin repository: [lnhance]
+2. LN-Symmetry: [eltoo]
+3. OP_CAT: [BIP-347], [BIN-2024-0001]
+4. OP_CHECKTEMPLATEVERIFY: [BIP-119]
+5. OP_CHECKSIGFROMSTACK: [BIP-348], [BIN-2024-0003]
+6. OP_INTERNALKEY: [BIP-349], [BIN-2024-0004]
+7. Tagged hash: [BIP-340]
+
+[lnhance]: https://github.com/lnhance/bitcoin
+[eltoo]: https://github.com/instagibbs/bolts/blob/eltoo_draft/XX-eltoo-transactions.md
+[BIP-119]: https://github.com/bitcoin/bips/tree/master/bip-0119.mediawiki
+[BIP-340]: https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
+[BIP-347]: https://github.com/bitcoin/bips/blob/master/bip-0347.md
+[BIP-348]: https://github.com/bitcoin/bips/blob/master/bip-0348.md
+[BIP-349]: https://github.com/bitcoin/bips/blob/master/bip-0349.md
+[BIN-2024-0001]: https://github.com/bitcoin-inquisition/binana/blob/master/2024/BIN-2024-0001.md
+[BIN-2024-0003]: https://github.com/bitcoin-inquisition/binana/blob/master/2024/BIN-2024-0003.md
+[BIN-2024-0004]: https://github.com/bitcoin-inquisition/binana/blob/master/2024/BIN-2024-0004.md
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