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What agents can achieve under incomplete information

Published: 08 May 2006 Publication History

Abstract

We propose a non-standard semantics for Alternating-time Temporal Logic (ATL) with incomplete information, for which no commonly accepted semantics has been proposed yet. In our semantics, formulae are still interpreted with respect to ATL structures, but are interpreted in sets of states rather than in single states. We also propose a new epistemic operator for "constructive" knowledge, and we show that the new language is strictly more expressive than existing solutions, while retaining the same model checking complexity.

References

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R. Alur, T. A. Henzinger, and O. Kupferman. Alternating-time Temporal Logic. Journal of the ACM, 49:672--713, 2002.
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A. Herzig and N. Troquard. Knowing how to play: Uniform choices in logics of agency. AAMAS, 2006.
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W. Jamroga. Some remarks on alternating temporal epistemic logic. In Proc. of FAMAS, p. 133--140, 2003.
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W. Jamroga and J. Dix. Model checking strategic abilities of agents under incomplete information. In Proceedings of ICTCS 2005, pages 295--308, 2005.
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W. Jamroga and W. van der Hoek. Agents that know how to play. Fundamenta Informaticae, 63(2--3), 2004.
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G. Jonker. Feasible strategies in Alternating-time Temporal Epistemic Logic. Master thesis, 2003.
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W. Quine. Quantifiers and propositional attitudes. Journal of Philosophy, 53:177--187, 1956.
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P. Y. Schobbens. Alternating-time logic with imperfect recall. Electronic Notes in Theoretical Computer Science, 85(2), 2004.
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W. van der Hoek and M. Wooldridge. Tractable multiagent planning for epistemic goals. In Proceedings of AAMAS-02, pages 1167--1174, 2002.
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  • (2021)Representation and Reasoning about Strategic Abilities with ω-Regular PropertiesMathematics10.3390/math92330529:23(3052)Online publication date: 27-Nov-2021
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Published In

cover image ACM Conferences
AAMAS '06: Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
May 2006
1631 pages
ISBN:1595933034
DOI:10.1145/1160633
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 May 2006

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Author Tags

  1. alternating-time temporal logic
  2. epistemic logic
  3. incomplete information
  4. strategic ability

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Overall Acceptance Rate 1,155 of 5,036 submissions, 23%

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Cited By

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  • (2024)A Review and Evaluation of Control Architectures for Modular Legged and Climbing RobotsBiomimetics10.3390/biomimetics90603199:6(319)Online publication date: 27-May-2024
  • (2021)Representation and Reasoning about Strategic Abilities with ω-Regular PropertiesMathematics10.3390/math92330529:23(3052)Online publication date: 27-Nov-2021
  • (2021)Behavior-Based Control Architecture for Legged-and-Climber RobotsApplied Sciences10.3390/app1120954711:20(9547)Online publication date: 14-Oct-2021
  • (2014)Knowledge Games and Coalitional AbilitiesJohan van Benthem on Logic and Information Dynamics10.1007/978-3-319-06025-5_16(451-485)Online publication date: 27-Aug-2014
  • (2010)Strategic planning for probabilistic games with incomplete informationProceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 110.5555/1838206.1838349(1057-1064)Online publication date: 10-May-2010
  • (2010)What will they say?—Public Announcement GamesSynthese10.1007/s11229-010-9838-8179:S1(57-85)Online publication date: 3-Nov-2010
  • (2008)Reasoning about temporal properties of rational playAnnals of Mathematics and Artificial Intelligence10.1007/s10472-009-9110-453:1-4(51-114)Online publication date: 1-Aug-2008
  • (2008)A Logic for Reasoning about Rational AgentsComputational Logic in Multi-Agent Systems10.1007/978-3-540-88833-8_3(42-61)Online publication date: 15-Oct-2008
  • (2008)A Logical Analysis of the Interaction between ‘Obligation-to-do’ and ‘Knowingly Doing’Deontic Logic in Computer Science10.1007/978-3-540-70525-3_12(140-154)Online publication date: 2008
  • (2007)A normal simulation of coalition logic and an epistemic extensionProceedings of the 11th conference on Theoretical aspects of rationality and knowledge10.1145/1324249.1324264(92-101)Online publication date: 25-Jun-2007
  • Show More Cited By

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