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arXiv · 1103.6025

First-order Nilpotent Minimum Logics: first steps

Matteo Bianchi
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Abstract

Following the lines of the analysis done in [BPZ07, BCF07] for first-order Gödel logics, we present an analogous investigation for Nilpotent Minimum logic NM. We study decidability and reciprocal inclusion of various sets of first-order tautologies of some subalgebras of the standard Nilpotent Minimum algebra. We establish a connection between the validity in an NM-chain of certain first-order formulas and its order type. Furthermore, we analyze axiomatizability, undecidability and the monadic fragments.

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Matteo Bianchi. 2012-07-02. First-order Nilpotent Minimum Logics: first steps. https://arxiv.org/abs/1103.6025

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