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Resource-bounded ATL: the Quest for Tractable Fragments

Abstract : Resource-aware logics to represent strategic abilities in multi-agentsystems are notoriously hard to handle as they combine strategic reasoning with reasoning about resources. In this work, webegin by providing a general overview of the model-checking results currently available for the Resource-bounded Alternating-timeTemporal Logic RB±ATL. This allows us to identify several openproblems in the literature, as well as to establish relationships withRBTL-like logics, when RB±ATL is restricted to a single agent. Then,we tackle one such open problem that we deem highly significant:we show that model checking RB±ATL is ptime-complete whenrestricted to a single agent and a single resource. To do so, wemake a valuable detour on vector addition systems with states, byproving new complexity results for their state-reachability and nontermination problems, when restricted to a single counter. Thus,reasoning about resources comes at no computational extra cost inthe single-resource, single-agent case.
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Contributor : Stéphane Demri <>
Submitted on : Thursday, November 14, 2019 - 7:51:42 AM
Last modification on : Monday, February 15, 2021 - 10:49:25 AM


  • HAL Id : hal-02362636, version 1


Francesco Belardinelli, Stephane Demri. Resource-bounded ATL: the Quest for Tractable Fragments. 18th International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2019, May 2019, Montreal, Canada. pp.206--214. ⟨hal-02362636⟩



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