Tableaux-Based Decision Method for Single-Agent Linear Time Synchronous Temporal Epistemic Logics with Interacting Time and Knowledge

Mai Ajspur, Valentin Goranko

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    Temporal epistemic logics are known, from results of Halpern and Vardi, to have a wide range of complexities of the satisfiability problem: from PSPACE, through non-elementary, to highly undecidable. These complexities depend on the choice of some key parameters specifying, inter alia, possible interactions between time and knowledge, such as synchrony and agents’ abilities for learning and recall. In this work we develop practically implementable tableau-based decision procedures for deciding satisfiability in single-agent synchronous temporal-epistemic logics with interactions between time and knowledge. We discuss some complications that occur, even in the single-agent case, when interactions between time and knowledge are assumed and show how the method of incremental tableaux can be adapted to work in EXPSPACE, respectively 2EXPTIME, for these logics, thereby also matching the upper bounds obtained for them by Halpern and Vardi.
    Original languageEnglish
    Title of host publicationLogic and Its Applications : 5th Indian Conference, ICLA 2013, Chennai, India, January 10-12, 2013. Proceedings
    Place of PublicationHeidelberg
    PublisherSpringer
    Publication date2013
    Pages80-96
    ISBN (Print)978-3-642-36038-1
    ISBN (Electronic)978-3-642-36039-8
    DOIs
    Publication statusPublished - 2013
    SeriesLecture Notes in Computer Science
    Volume7750
    ISSN0302-9743

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