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Systematization of finite many-valued logics through the method of tableaux

Published online by Cambridge University Press:  12 March 2014

Walter A. Carnielli
Walter A. Carnielli*
Affiliation:
Department of Mathematics, University of Campinas, 13081 Campinas, Brazil
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Abstract

This paper presents a unified treatment of the propositional and first-order many-valued logics through the method of tableaux. It is shown that several important results on the proof theory and model theory of those logics can be obtained in a general way.

We obtain, in this direction, abstract versions of the completeness theorem, model existence theorem (using a generalization of the classical analytic consistency properties), compactness theorem and Löwenheim-Skolem theorem.

The paper is completely self-contained and includes examples of application to particular many-valued formal systems.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 52 , Issue 2 , June 1987 , pp. 473 - 493
Copyright
Copyright © Association for Symbolic Logic 1987

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References

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