Reasoning about actions meets strategic logics (LORI 2013)

Andreas Herzig (1, 2) , Emiliano Lorini (1, 2) , Dirk Walther (3)

1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
2 CNRS - Centre National de la Recherche Scientifique
3 CFAED - Center for Advancing Electronics Dresden

We introduce ATLEA, a novel extension of Alternating-time Temporal Logic with explicit actions in the object language. ATLEA allows to reason about abilities of agents under commitments to play certain actions. Pre- and postconditions as well as availability and unavailability of actions can be expressed. We show that the multiagent extension of Reiter’s solution to the frame problem can be encoded into ATLEA. We also consider an epistemic extension of ATLEA. We demonstrate that the resulting logic is sufficiently expressive to reason about uniform choices of actions. Complexity results for the satisfiability problem of ATLEA and its epistemic extension are given in the paper.

Mots clés: Discrete mathematics in computer science; Alternating-time Temporal Logic

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

Andreas Herzig, Emiliano Lorini, Dirk Walther. Reasoning about actions meets strategic logics (LORI 2013). 4th International Workshop on Logic, Rationality and Interaction (LORI 2013), Oct 2013, Hangzhou, China. pp.162-175, ⟨10.1007/978-3-642-40948-6_13⟩. ⟨hal-01226475⟩