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Natural deduction calculi for classical and intuitionistic S5
Journal of Applied Non-Classical Logics 33 (2):165-205 (2023)
Abstract
1. It is a fact that developing a good proof theory for modal logics is a difficult task. The problem is not in having deductive systems. In fact, all the main modal logics enjoy an axiomatic prese...Author's Profile
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Citations of this work
A Natural Deduction Calculus for S4.2.Simone Martini, Andrea Masini & Margherita Zorzi - 2024 - Notre Dame Journal of Formal Logic 65 (2):127-150.
References found in this work
Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
Constructivism in Mathematics: An Introduction.A. S. Troelstra & Dirk Van Dalen - 1988 - Amsterdam: North Holland. Edited by D. van Dalen.
Deep sequent systems for modal logic.Kai Brünnler - 2009 - Archive for Mathematical Logic 48 (6):551-577.
Proofnets for S5: sequents and circuits for modal logic.Greg Restall - 2007 - In C. Dimitracopoulos, L. Newelski & D. Normann, Logic Colloquium 2005: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Athens, Greece, July 28-August 3, 2005. Cambridge: Cambridge University Press. pp. 151-172.
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