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Calculi for Many-Valued Logics
Logica Universalis 15 (2):193-226 (2021)
Abstract
We present a number of equivalent calculi for many-valued logics and prove soundness and strong completeness theorems. The calculi are obtained from the truth tables of the logic under consideration in a straightforward manner and there is a natural duality among these calculi. We also prove the cut elimination theorems for the sequent-like systems.Author's Profile
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Citations of this work
Peter Schroeder-Heister on Proof-Theoretic Semantics.Thomas Piecha & Kai F. Wehmeier (eds.) - 2024 - Springer.
Truth-Value Constants in Multi-Valued Logics.Nissim Francez & Michael Kaminski - 2024 - In Thomas Piecha & Kai F. Wehmeier (eds.), Peter Schroeder-Heister on Proof-Theoretic Semantics. Springer. pp. 391-397.
References found in this work
Harmony in Multiple-Conclusion Natural-Deduction.Nissim Francez - 2014 - Logica Universalis 8 (2):215-259.
Many-valued logics of extended Gentzen style II.Moto-O. Takahashi - 1970 - Journal of Symbolic Logic 35 (4):493-528.
Nonstandard connectives of intuitionistic propositional logic.Michael Kaminski - 1988 - Notre Dame Journal of Formal Logic 29 (3):309-331.
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