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arXiv · 2405.01935

Cut elimination for Cyclic Proofs: A Case Study in Temporal Logic

Bahareh Afshari·Johannes Kloibhofer
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Abstract

We consider modal logic extended with the well-known temporal operator 'eventually' and provide a cut-elimination procedure for a cyclic sequent calculus that captures this fragment. The work showcases an adaptation of the reductive cut-elimination method to cyclic calculi. Notably, the proposed algorithm applies to a cyclic proof and directly outputs a cyclic cut-free proof without appealing to intermediate machinery for regularising the end proof.

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Bahareh Afshari, Johannes Kloibhofer. 2024-05-03. Cut elimination for Cyclic Proofs: A Case Study in Temporal Logic. https://doi.org/10.4204/eptcs.435.3

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