CGAAL is a model checker of alternating-time temporal logic (ATL) properties on concurrent game structures (CGSs). It uses an on-the-fly algorithm to compute the satisfaction relation and synthesize strategies. This often leads to early termination, and CGAAL is therefore an order of magnitude faster than PRISM in most cases.

CGAAL also uses a custom language to describe CGSs. We call it LCGS and its syntax is inspired by PRISM-lang. However, the concepts of synchronization and modules are very different.

Requirements

The minimum supported Rust version (MSRV) is 1.65.0.

Example of how to use

Let's say we want to check if a cowboy can guarantee staying alive in a 3-way Mexican standoff. The standoff is simulated in rounds and in each round a cowboy can choose to wait, shoot the cowboy to the right, or shoot the cowboy to the left. If a cowboy is hit by two bullets, he dies.

We describe this scenario using LCGS as seen below

const max_health = 2;

player billy = cowboy [target1=clayton, target2=jesse];
player clayton = cowboy [target1=jesse, target2=billy];
player jesse = cowboy [target1=billy, target2=clayton];

template cowboy

    health : [0 .. max_health] init max_health;
    health' = max(health - target1.shoot_left - target2.shoot_right, 0);

    label alive = health > 0;

    [wait] 1;
    [shoot_right] health > 0 && target1.health > 0;
    [shoot_left] health > 0 && target2.health > 0;

endtemplate

We can now use ATL logic and query whether there exists a strategy for Billy that guarantees that he survives. The ATL formula is given below in a file called billy-can-stay-alive.atl:

<<billy>> G billy.alive

We now call CGAAL with the following arguments

./cgaal solver -m standoff.lcgs -f billy-can-stay-alive.atl

The result turns out to be false. Billy cannot guarantee to stay alive.

Papers

• CGAAL: Distributed On-The-Fly ATL Model Checker with Heuristics, Falke B. Ø. Carlsen, Lars Bo P. Frydenskov, Nicolaj Ø. Jensen, Jener Rasmussen, Mathias M. Sørensen, Asger G. Weirsøe, Mathias C. Jensen, Kim G. Larsen, In Proceedings GandALF 2023