Tableau-based decision procedure for full coalitional multiagent temporal-epistemic logic of linear time

Valentin Goranko; Dmitry Shkatov

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arXiv · 0902.2104

Tableau-based decision procedure for full coalitional multiagent temporal-epistemic logic of linear time

Valentin Goranko·Dmitry Shkatov

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Abstract

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).

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Valentin Goranko, Dmitry Shkatov. 2009-02-12. Tableau-based decision procedure for full coalitional multiagent temporal-epistemic logic of linear time. https://arxiv.org/abs/0902.2104

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