Tableau-based decision procedure for the multi-agent epistemic logic with all coalitional operators for common and distributed knowledge
Abstract
We develop a conceptually clear, intuitive, and feasible decision procedure for testing satisfiability in the full multi-agent 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.
Keywords
Cite
@article{arxiv.1201.5346,
title = {Tableau-based decision procedure for the multi-agent epistemic logic with all coalitional operators for common and distributed knowledge},
author = {Mai Ajspur and Valentin Goranko and Dmitry Shkatov},
journal= {arXiv preprint arXiv:1201.5346},
year = {2016}
}
Comments
Substantially extended and corrected version of arXiv:0902.2125. To appear in: Logic Journal of the IGPL, special issue on Formal Aspects of Multi-Agent Systems