The complexity of reasoning about knowledge and time. I. lower bounds
Journal of Computer and System Sciences - 18th Annual ACM Symposium on Theory of Computing (STOC), May 28-30, 1986
A guide to completeness and complexity for modal logics of knowledge and belief
Artificial Intelligence
What can machines know?: On the properties of knowledge in distributed systems
Journal of the ACM (JACM)
Tableau Tool for Testing Satisfiability in LTL: Implementation and Experimental Analysis
Electronic Notes in Theoretical Computer Science (ENTCS)
Invariant-Free Clausal Temporal Resolution
Journal of Automated Reasoning
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We develop a tableau-based decision procedure for the full coalitional multiagent temporal-epistemic logic of linear time CMATEL(CD+LT). It extends LTL with operators of common and distributed knowledge for all coalitions of agents. The tableau procedure runs in exponential time, matching the lower bound obtained by Halpern and Vardi for a fragment of our logic, thus providing a complexity-optimal decision procedure for CMATEL(CD+LT).