Tableau-based procedure for deciding satisfiability in the full coalitional multiagent epistemic logic

Valentin Goranko; Dmitry Shkatov

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arXiv · 0902.2125

Tableau-based procedure for deciding satisfiability in the full coalitional multiagent epistemic logic

Valentin Goranko·Dmitry Shkatov

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Abstract

We study the multiagent epistemic logic CMAELCD with operators for common and distributed knowledge for all coalitions of agents. We introduce Hintikka structures for this logic and prove that satisfiability in such structures is equivalent to satisfiability in standard models. Using this result, we design an incremental tableau based decision procedure for testing satisfiability in CMAELCD.

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Valentin Goranko, Dmitry Shkatov. 2009-02-12. Tableau-based procedure for deciding satisfiability in the full coalitional multiagent epistemic logic. https://arxiv.org/abs/0902.2125

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