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The completeness of the factor semantics for Łukasiewicz's infinite-valued logics

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Abstract

In [12] it was shown that the factor semantics based on the notion ofT-F-sequences is a correct model of the Łukasiewicz's infinite-valued logics. But we could not consider some important aspects of the structure of this model because of the short size of paper. In this paper we give a more complete study of this problem: A new proof of the completeness of the factor semantic for Łukasiewicz's logic using Wajsberg algebras [3] (and not MV-algebras in [1]) and Symmetrical Heyting monoids [7] is proposed. Some consequences of such an approach are investigated.

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  1. Institute of Logic, Volkhonka 14, 119842, Moscow, Russia

    Vladimir L. Vasyukov

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  1. Vladimir L. Vasyukov
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Vasyukov, V.L. The completeness of the factor semantics for Łukasiewicz's infinite-valued logics. Stud Logica 52, 143–167 (1993). https://doi.org/10.1007/BF01053068

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  • DOI: https://doi.org/10.1007/BF01053068

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