A Tableau Calculus for Minimal Modal Model Generation
Fabio Papacchini, Renate A. Schmidt · Electronic Notes in Theoretical Computer Science · 2011
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.