CGAAL: Distributed On-The-Fly ATL Model Checker with Heuristics

Falke Bjernemose Øtker Carlsen*, Lars Bo Park Frydenskov, Nicolaj Østerby Jensen*, Jacob Jenner Rasmussen, Mathias Mehl Sørensen, Ager Geel Weirsøe, Mathias Claus Jensen, Kim Guldstrand Larsen


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We present CGAAL, our efficient on-the-fly model checker for alternating-time temporal logic (ATL) on concurrent game structures (CGS). We present how our tool encodes ATL as extended dependency graphs with negation edges, and employs the distributed on-the-fly algorithm by Dalsgaard et al. Our tool offers multiple novel search strategies for the algorithm, including DHS which is inspired by PageRank and uses the in-degree of configurations as an heuristic, IHS which estimates instability of assignment values, and LPS which estimates the distance to a state satisfying the constituent property using linear programming. CGS are input using our modeling language LCGS, where composition and synchronisation are easily described. We prove the correctness of our encoding, and our experiments show that our tool CGAAL is often one to three orders of magnitude faster than the popular tool PRISM-games on case-studies from PRISM’s documentation and among case-studies we have developed. In our evaluation we also compare and evaluate our search strategies, and find that our custom search strategies are often significantly faster than the usual breadth-first and depth-first search strategies.
TitelGames, Automata, Logics, and Formal Verification
Antal sider16
ForlagOpen Publishing Association
Publikationsdato30 sep. 2023
StatusUdgivet - 30 sep. 2023
BegivenhedFourteenth International Symposium on Games, Automata, Logics, and Formal Verification - Università degli Studi di Udine, Palazzo Antonini-Cernazai, Udine, Italien
Varighed: 18 sep. 202320 sep. 2023
Konferencens nummer: 14


KonferenceFourteenth International Symposium on Games, Automata, Logics, and Formal Verification
LokationUniversità degli Studi di Udine, Palazzo Antonini-Cernazai

Bibliografisk note

Asger Geel Weirsøe is a former student of Aalborg University


  • ATL logic
  • dependency graphs
  • on-the-fly
  • heuristics
  • distributed algorithm


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