GDL Meets ATL: A Logic for Game Description and Strategic Reasoning

Guifei Jiang (1, 2) , Dongmo Zhang (1) , Laurent Perrussel (2, 3)

1 Western Sydney University
2 IRIT-LILaC - Logique, Interaction, Langue et Calcul
3 UT Capitole - Université Toulouse Capitole

This paper presents a logical framework that extends the Game Description Language with coalition operators from Alternating-time Temporal Logic and prioritised strategy connectives. Our semantics is built upon the standard state transition model. The new framework allows us to formalise van Benthem’s game-oriented principles in multi-player games, and formally derive Weak Determinacy and Zermelo’s Theorem for two-player games. We demonstrate with a real-world game how to use our language to specify a game and design a strategy, and how to use our framework to verify a winning/no-losing strategy. Finally, we show that the model-checking problem of our logic is in 2EXPTIME with respect to the size of game structure and the length of formula, which is no worse than the model-checking problem in ATL.

Mots clés: Information storage and retrieval

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Guifei Jiang, Dongmo Zhang, Laurent Perrussel. GDL Meets ATL: A Logic for Game Description and Strategic Reasoning. 13th Pacific Rim International Conference on Artificial Intelligence (PRICAI 2014), Dec 2014, Gold Coast, QLD, Australia. pp. 733-746. ⟨hal-01316838⟩