On product logic

descriptionPublicationkeyboard_double_arrow_right Article 11 Sep 1998Publisher:Springer Science and Business Media LLCJournal:Soft Computing - A Fusion of Foundations, Methodologies and Applications, volume 2, pages 141-146 (issn: 1432-7643, eissn: 1433-7479,

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Authors: Romà J. Adillon; Ventura Verdú;

doi: 10.1007/s005000050046

On product logic

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Abstract

In this paper we prove that the class of product algebras is a variety of bounded hoops, that this variety is the equivalent algebraic semantics (in the sense of [1]) of Product logic [11] and that the only axiomatic extension of Product logic that has the Deduction–Detachment Theorem is the Classical propositional logic.

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University of Barcelona
Spain

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