A Tableau Calculus for Minimal Modal Model Generation

Papacchini, F. and Schmidt, R. A. (2011)

Electronic Notes in Theoretical Computer Science 278 (3), 159-172. BiBTeX, DOI Link.

Model generation and minimal model generation is useful for fault analysis, verification of systems and validation of data models. Whereas for classical propositional and first-order logic several model minimization approaches have been developed and studied, for non-classical logic the topic has been much less studied. In this paper we introduce a minimal model generation calculus for multi-modal logic K(m) and extensions of K(m) with the axioms T and B. The calculus provides a method to generate all and only minimal modal Herbrand models, and each model is generated exactly once. A novelty of the calculus is a non-standard complement splitting rule designed for minimal model generation. Experiments show the rule has the added benefit of reducing the search space.

Renate A. Schmidt
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Last modified: 09 Sep 14
Copyright © 2011 Renate A. Schmidt, School of Computer Science, Man Univ, schmidt@cs.man.ac.uk