We propose a refutation calculus to check the unprovability of a formula in GödelDummett logics. From refutations we can directly extract countermodels for unprovable formulas, moreover the calculus is designed so to support a forward proof-search strategy that can be understood as a top-down construction of a model.

Forward refutation for Gödel-Dummett Logics / C. Fiorentini, M. Ferrari (CEUR WORKSHOP PROCEEDINGS). - In: CILC 2022 : Italian Conference on Computational Logic / [a cura di] R. Calegari, G. Ciatto, A. Omicini. - [s.l] : CEUR Workshop Proceedings, 2022 Sep. - pp. 171-185 (( Intervento presentato al 37. convegno CILC tenutosi a Bologna nel 2022.

Forward refutation for Gödel-Dummett Logics

C. Fiorentini;
2022

Abstract

We propose a refutation calculus to check the unprovability of a formula in GödelDummett logics. From refutations we can directly extract countermodels for unprovable formulas, moreover the calculus is designed so to support a forward proof-search strategy that can be understood as a top-down construction of a model.
Settore MAT/01 - Logica Matematica
Settore INF/01 - Informatica
set-2022
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/937446
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