A Uniform Procedure for Converting Matrix Proofs into Sequent-Style Systems

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by Christoph Kreitz and Stephan Schmitt

Journal of Information and Computation, vol. 162, nos. 1-2, pp. 226-254, 2000.

Abstract

We present a uniform algorithm for transflorming machine-found matrix proofs in classiscal, constructive, and modal logics into sequent proofs. It is based on unified representations of matrix characterizations, of sequent calculi, and of prefixed sequent systems for various logics. The peculiarities of an individual logic are described by certain parameters of these representations, which are summarized in tables to be consulted by the conversion algorithm.