Coalition logic with individual, distributed and common knowledge

Thomas Ågotnes*, Natasha Alechina*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Coalition logic is currently one of the most popular logics for multi-agent systems. While logics combining coalitional and epistemic operators have received considerable attention, completeness results for epistemic extensions of coalition logic have so far been missing. In this paper we provide several such results and proofs. We prove completeness for epistemic coalition logic with common knowledge, with distributed knowledge, and with both common and distributed knowledge, respectively. Furthermore, we completely characterise the complexity of the satisfiability problem for each of the three logics. We also study logics with interaction axioms connecting coalitional ability and knowledge.
Original languageEnglish
Pages (from-to)1041-1069
Number of pages29
JournalJournal of Logic and Computation
Volume29
Issue number7
DOIs
Publication statusPublished - 2019
Externally publishedYes

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