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A Sequent Calculus and a Theorem Prover for Standard Conditional Logics

Nicola Olivetti·Gian Luca Pozzato·Camilla Schwind
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Abstract

In this paper we present a cut-free sequent calculus, called SeqS, for some standard conditional logics, namely CK, CK+ID, CK+MP and CK+MP+ID. The calculus uses labels and transition formulas and can be used to prove decidability and space complexity bounds for the respective logics. We also present CondLean, a theorem prover for these logics implementing SeqS calculi written in SICStus Prolog.

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Nicola Olivetti, Gian Luca Pozzato, Camilla Schwind. 2004-07-29. A Sequent Calculus and a Theorem Prover for Standard Conditional Logics. https://arxiv.org/abs/cs/0407064

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