Complexity of t-tautologies

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Annals of Pure and Applied Logic 113 (1-3):3-11 (2001)
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Abstract

A t-tautology is a propositional formula which is a tautology in all fuzzy logics defined by continuous triangular norms. In this paper we show that the problem of recognizing t-tautologies is coNP complete, and thus decidable

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10.1016/s0168-0072(01)00048-3

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Citations of this work

Fuzzy logic and arithmetical hierarchy III.Petr Hájek - 2001 - Studia Logica 68 (1):129-142.
Fuzzy logic.Petr Hajek - 2008 - Stanford Encyclopedia of Philosophy.
Kripke-style semantics for many-valued logics.Franco Montagna & Lorenzo Sacchetti - 2003 - Mathematical Logic Quarterly 49 (6):629.
Mathematical fuzzy logics.Siegfried Gottwald - 2008 - Bulletin of Symbolic Logic 14 (2):210-239.

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References found in this work

A complete many-valued logic with product-conjunction.Petr Hájek, Lluis Godo & Francesc Esteva - 1996 - Archive for Mathematical Logic 35 (3):191-208.
Interpolation in fuzzy logic.Matthias Baaz & Helmut Veith - 1999 - Archive for Mathematical Logic 38 (7):461-489.

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