Alternating-time temporal logic with finite-memory strategies

Steen Vester

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Abstract

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In this paper we consider two other types of semantics based on finite-memory strategies. One where the memory size allowed is bounded and one where the memory size is unbounded (but must be finite). This is motivated by the high complexity of model-checking with perfect recall semantics and the severe limitations of memoryless strategies. We show that both types of semantics introduced are different from perfect recall and memoryless semantics and next focus on the decidability and complexity of model-checking in both complete and incomplete information games for ATL/ATL*. In particular, we show that the complexity of model-checking with bounded-memory semantics is Delta_2p-complete for ATL and PSPACE-complete for ATL* in incomplete information games just as in the memoryless case. We also present a proof that ATL and ATL* model-checking is undecidable for n >= 3 players with finite-memory semantics in incomplete information games.
Original languageEnglish
Title of host publicationProceedings Fourth International Symposium on Games, Automata, Logics and Formal Verification
Publication date2013
Pages194–207
DOIs
Publication statusPublished - 2013
Event4th International Symposium on Games, Automata, Logics and Formal Verification (GandALF 2013) - Borca di Cadore, Dolomites, Italy
Duration: 29 Aug 201331 Aug 2013

Conference

Conference4th International Symposium on Games, Automata, Logics and Formal Verification (GandALF 2013)
CountryItaly
CityBorca di Cadore, Dolomites
Period29/08/201331/08/2013
SeriesElectronic Proceedings in Theoretical Computer Science
Volume119
ISSN2075-2180

Bibliographical note

Copyright Steen Vester. This work is licensed under the Creative Commons Attribution License.

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