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

Autor: Afshari, Bahareh, Kloibhofer, Johannes
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv