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  1. Trakhtenbrot Theorem and First-Order Axiomatic Extensions of MTL.Matteo Bianchi & Franco Montagna - 2015 - Studia Logica 103 (6):1163-1181.
    In 1950, B.A. Trakhtenbrot showed that the set of first-order tautologies associated to finite models is not recursively enumerable. In 1999, P. Hájek generalized this result to the first-order versions of Łukasiewicz, Gödel and Product logics, w.r.t. their standard algebras. In this paper we extend the analysis to the first-order versions of axiomatic extensions of MTL. Our main result is the following. Let \ be a class of MTL-chains. Then the set of all first-order tautologies associated to the finite models (...)
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