Tableau-based decision procedure for the multiagent epistemic logic with all coalitional operators for common and distributed knowledge

Mai Ajspur, Valentin Goranko, Dmitry Shkatov

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We develop a conceptually clear, intuitive and feasible decision procedure for testing satisfiability in the full multiagent epistemic logic CMAEL(CD) with operators for common and distributed knowledge for all coalitions of agents mentioned in the language. To that end, we introduce Hintikka structures for CMAEL(CD) and prove that satisfiability in such structures is equivalent to satisfiability in standard models. Using that result, we design an incremental tableau-building procedure that eventually constructs a satisfying Hintikka structure for every satisfiable input set of formulae of CMAEL(CD) and closes for every unsatisfiable input set of formulae.
    Original languageEnglish
    JournalLogic Journal of the IGPL
    Volume21
    Issue number3
    Pages (from-to)407-437
    ISSN1367-0751
    DOIs
    Publication statusPublished - 2013

    Keywords

    • multi-agent epistemic logic
    • satisfiability
    • tableau
    • decision procedure

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