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Dual Systems of Sequents and Tableaux for Many-Valued Logics
Bulletin of the EATCS 51:192-197 (1993)
Abstract
The aim of this paper is to emphasize the fact that for all finitely-many-valued logics there is a completely systematic relation between sequent calculi and tableau systems. More importantly, we show that for both of these systems there are al- ways two dual proof sytems (not just only two ways to interpret the calculi). This phenomenon may easily escape one’s attention since in the classical (two-valued) case the two systems coincide. (In two-valued logic the assignment of a truth value and the exclusion of the opposite truth value describe the same situation.)Author Profiles
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Citations of this work
Conservatively extending classical logic with transparent truth.David Ripley - 2012 - Review of Symbolic Logic 5 (2):354-378.
Multiple-conclusion lp and default classicality.Jc Beall - 2011 - Review of Symbolic Logic 4 (2):326-336.
On All Strong Kleene Generalizations of Classical Logic.Stefan Wintein - 2016 - Studia Logica 104 (3):503-545.
Proof Theory of Finite-valued Logics.Richard Zach - 1993 - Dissertation, Technische Universität Wien
Labeled calculi and finite-valued logics.Matthias Baaz, Christian G. Fermüller, Gernot Salzer & Richard Zach - 1998 - Studia Logica 61 (1):7-33.
References found in this work
Systematization of finite many-valued logics through the method of tableaux.Walter A. Carnielli - 1987 - Journal of Symbolic Logic 52 (2):473-493.
Proof Theory of Finite-valued Logics.Richard Zach - 1993 - Dissertation, Technische Universität Wien
Methoden zur Axiomatisierung beliebiger Aussagen‐ und Prädikatenkalküle.Karl Schröter - 1955 - Mathematical Logic Quarterly 1 (4):241-251.
Methoden zur Axiomatisierung beliebiger Aussagen- und Prädikatenkalküle.Karl Schröter - 1955 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 1 (4):241-251.
An algorithm for axiomatizing every finite logic.Stanisław Surma - 1976 - In Computer Science and Multiple-Valued Logic. North-Holland. pp. 137-143.
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