On Evaluating Decision Procedures for Modal Logics

Hustadt, Ullrich; Schmidt, Renate A.

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On Evaluating Decision Procedures for Modal Logics

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Hustadt, Ullrich
Programming Logics, MPI for Informatics, Max Planck Society;

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Schmidt, Renate A.
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Hustadt, U., & Schmidt, R. A. (1997). On Evaluating Decision Procedures for Modal Logics. In M. E. Pollack (Ed.), Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence (IJCAI-97) (pp. 202-207). San Francisco, USA: Morgan Kaufmann.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-39EF-7

Abstract

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