Systematic construction of natural deduction systems for many-valued logics

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In Unknown, Proceedings of The Twenty-Third International Symposium on Multiple-Valued Logic, 1993. IEEE Press. pp. 208-213 (1993)
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Abstract

A construction principle for natural deduction systems for arbitrary, finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent calculi, which in turn can be automatically extracted from the truth tables of the logics under consideration. Soundness and cut-free completeness of these sequent calculi translate into soundness, completeness, and normal-form theorems for natural deduction systems.

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Author Profiles

Richard Zach
University of Calgary
Matthias Baaz
TU Wien

Citations of this work

The Logics of Strict-Tolerant Logic.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2015 - Journal of Philosophical Logic 44 (5):551-571.
Logical Pluralism, Meaning-Variance, and Verbal Disputes.Ole Thomassen Hjortland - 2013 - Australasian Journal of Philosophy 91 (2):355-373.
Proof Theory of Finite-valued Logics.Richard Zach - 1993 - Dissertation, Technische Universität Wien
On Beall’s New Interpretation of $$WK_{3}$$ W K 3.Nissim Francez - 2019 - Journal of Logic, Language and Information 28 (1):1-7.

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References found in this work

Ideas and Results in Proof Theory.Dag Prawitz & J. E. Fenstad - 1971 - Journal of Symbolic Logic 40 (2):232-234.
Untersuchungen über das logische Schließen. II.Gerhard Gentzen - 1935 - Mathematische Zeitschrift 39:405–431.

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