Comparing Semantics of Logics for Multi-agent Systems

V. Goranko, W.J. Jamroga

    Research output: Contribution to journalArticleAcademicpeer-review

    62 Citations (Scopus)

    Abstract

    We draw parallels between several closely related logics that combine – in different proportions – elements of game theory, computation tree logics, and epistemic logics to reason about agents and their abilities. These are: the coalition game logics CL and ECL introduced by Pauly in 2000, the alternating-time temporal logic ATL developed by Alur, Henzinger and Kupferman between 1997 and 2002, and the alternating-time temporal epistemic logic ATEL by van der Hoek and Wooldridge (2002). In particular, we establish some subsumption and equivalence results for their semantics, as well as interpretation of the alternating-time temporal epistemic logic into ATL. The focus in this paper is on models: alternating transition systems, multi-player game models (alias concurrent game structures) and coalition effectivity models turn out to be intimately related, while alternating epistemic transition systems share much of their philosophical and formal apparatus. Our approach is constructive: we present ways to transform between different types of models and languages.
    Original languageUndefined
    Article number10.1023/B:SYNT.0000024915.66183.d1
    Pages (from-to)241-280
    Number of pages40
    JournalSynthese
    Volume139
    Issue number2
    DOIs
    Publication statusPublished - 2004

    Keywords

    • EWI-6600
    • HMI-IA: Intelligent Agents
    • IR-63343

    Cite this

    Goranko, V., & Jamroga, W. J. (2004). Comparing Semantics of Logics for Multi-agent Systems. Synthese, 139(2), 241-280. [10.1023/B:SYNT.0000024915.66183.d1]. https://doi.org/10.1023/B:SYNT.0000024915.66183.d1
    Goranko, V. ; Jamroga, W.J. / Comparing Semantics of Logics for Multi-agent Systems. In: Synthese. 2004 ; Vol. 139, No. 2. pp. 241-280.
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    abstract = "We draw parallels between several closely related logics that combine – in different proportions – elements of game theory, computation tree logics, and epistemic logics to reason about agents and their abilities. These are: the coalition game logics CL and ECL introduced by Pauly in 2000, the alternating-time temporal logic ATL developed by Alur, Henzinger and Kupferman between 1997 and 2002, and the alternating-time temporal epistemic logic ATEL by van der Hoek and Wooldridge (2002). In particular, we establish some subsumption and equivalence results for their semantics, as well as interpretation of the alternating-time temporal epistemic logic into ATL. The focus in this paper is on models: alternating transition systems, multi-player game models (alias concurrent game structures) and coalition effectivity models turn out to be intimately related, while alternating epistemic transition systems share much of their philosophical and formal apparatus. Our approach is constructive: we present ways to transform between different types of models and languages.",
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    Goranko, V & Jamroga, WJ 2004, 'Comparing Semantics of Logics for Multi-agent Systems', Synthese, vol. 139, no. 2, 10.1023/B:SYNT.0000024915.66183.d1, pp. 241-280. https://doi.org/10.1023/B:SYNT.0000024915.66183.d1

    Comparing Semantics of Logics for Multi-agent Systems. / Goranko, V.; Jamroga, W.J.

    In: Synthese, Vol. 139, No. 2, 10.1023/B:SYNT.0000024915.66183.d1, 2004, p. 241-280.

    Research output: Contribution to journalArticleAcademicpeer-review

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    Goranko V, Jamroga WJ. Comparing Semantics of Logics for Multi-agent Systems. Synthese. 2004;139(2):241-280. 10.1023/B:SYNT.0000024915.66183.d1. https://doi.org/10.1023/B:SYNT.0000024915.66183.d1