David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 139 (2):241 - 280 (2004)
We draw parallels between several closely related logics that combine — in different proportions — elements of game theory, computation tree logics, and epistemic logics to reason about agents and their abilities. These are: the coalition game logics CL and ECL introduced by Pauly 2000, the alternating-time temporal logic ATL developed by Alur, Henzinger and Kupferman between 1997 and 2002, and the alternating-time temporal epistemic logic ATEL by van der Hoek and Wooldridge (2002). In particular, we establish some subsumption and equivalence results for their semantics, as well as interpretation of the alternating-time temporal epistemic logic into ATL. The focus in this paper is on models: alternating transition systems, multi-player game models (alias concurrent game structures) and coalition effectivity models turn out to be intimately related, while alternating epistemic transition systems share much of their philosophical and formal apparatus. Our approach is constructive: we present ways to transform between different types of models and languages.
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Citations of this work BETA
Johan van Benthem & Eric Pacuit (2010). Temporal Logics of Agency. Journal of Logic, Language and Information 19 (4):389-393.
Dimitar P. Guelev, Catalin Dima & Constantin Enea (2011). An Alternating-Time Temporal Logic with Knowledge, Perfect Recall and Past: Axiomatisation and Model-Checking. Journal of Applied Non-Classical Logics 21 (1):93-131.
Wojciech Jamroga & Thomas Ågotnes (2007). Constructive Knowledge: What Agents Can Achieve Under Imperfect Information. Journal of Applied Non-Classical Logics 17 (4):423-475.
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