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Elimination of Cuts in First-order Finite-valued Logics
Journal of Information Processing and Cybernetics EIK 29 (6):333-355 (1993)
Abstract
A uniform construction for sequent calculi for finite-valued first-order logics with distribution quantifiers is exhibited. Completeness, cut-elimination and midsequent theorems are established. As an application, an analog of Herbrand’s theorem for the four-valued knowledge-representation logic of Belnap and Ginsberg is presented. It is indicated how this theorem can be used for reasoning about knowledge bases with incomplete and inconsistent information.Author Profiles
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Citations of this work
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On Partial and Paraconsistent Logics.Reinhard Muskens - 1999 - Notre Dame Journal of Formal Logic 40 (3):352-374.
Analytic Tableaux for all of SIXTEEN 3.Stefan Wintein & Reinhard Muskens - 2015 - Journal of Philosophical Logic 44 (5):473-487.
Finiteness in infinite-valued łukasiewicz logic.Stefano Aguzzoli & Agata Ciabattoni - 2000 - Journal of Logic, Language and Information 9 (1):5-29.
References found in this work
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Many-valued logics.J. Barkley Rosser - 1952 - Westport, Conn.: Greenwood Press. Edited by Atwell R. Turquette.
Systematization of finite many-valued logics through the method of tableaux.Walter A. Carnielli - 1987 - Journal of Symbolic Logic 52 (2):473-493.
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