Reasoning with a Bounded Number of Resources in ATL+ - Laboratoire Méthodes Formelles
Communication Dans Un Congrès Année : 2020

Reasoning with a Bounded Number of Resources in ATL+

Résumé

The resource-bounded alternating-time temporal logic RB±ATL combines strategic reasoning with reasoning about resources. Its model-checking problem is known to be 2EXPTIME-complete (the same as its proper extension RB±ATL *). Several fragments have been identified to lower the complexity. In this work, we consider the variant RB±ATL + which permits Boolean combinations of path formulae starting with single temporal operators, but restricted to a single resource, providing an interesting trade-off between temporal expressivity and resource analysis. We show that the model-checking problem for RB±ATL + restricted to a single agent and a single resource is ∆p2-complete, hence the same as for CTL +. In this case reasoning about resources comes at no extra computational cost. Furthermore, we show that, with an arbitrary number of agents and a fixed number of resources, the problem can be solved in EXPTIME using a Turing reduction to the parity game problem for alternating vector addition systems with states.
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Dates et versions

hal-03005853 , version 1 (14-11-2020)

Identifiants

Citer

Francesco Belardinelli, Stéphane Demri. Reasoning with a Bounded Number of Resources in ATL+. 24th European Conference on Artificial Intelligence, Aug 2020, Santiago de Compostela, Spain. pp.624--631, ⟨10.3233/FAIA200147⟩. ⟨hal-03005853⟩
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