On evaluating decision procedures for modal logic

摘要

This paper investigates the evalaution method of decision procedures for multi-modal logic proposed by Giunchiglia and Sebastiani as an adaptation from the evalaution method of Mitchell et al. of decision procedures for propositional logic. We compare three different theorem proving approaches, namely, the Davis-Putnam-based procedure KSAT, the tableaux-based system KRIS and a translation approahc combined with first-order resolution. Our results do not support the claims of Giunchiglia and Sebastiani concerning the computational superiority of Ksat over KRIS, and an easy-hard-easy pattern for randomly generated modal formulae.