Normal forms and representable functions in Moisil logic

Abstract In this note, we determine, by a disjunctive normal form theorem, which functions on the standard n -nuanced Łukasiewicz-Moisil algebra are representable by formulas and we show how this result may help in establishing the structure of the free algebras in this class.

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Publication Details

Journal
Algebra Universalis
Published
2026-03-09
DOI
https://doi.org/10.1007/s00012-026-00924-z
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

Normal forms and representable functions in Moisil logic

Andrei Sipoş
Algebra Universalis
Advanced Algebra and Logic
article

Normal forms and representable functions in Moisil logic

Andrei Sipoş
article en

Abstract

Abstract In this note, we determine, by a disjunctive normal form theorem, which functions on the standard n -nuanced Łukasiewicz-Moisil algebra are representable by formulas and we show how this result may help in establishing the structure of the free algebras in this class.

Algebra UniversalisVol. 87(2)
Academia Oamenilor de Știință din România (RO), Institute for Physics (US), Romanian Academy (RO)
Reduced inequalities
Openalex Percentile: Top 29%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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Normal forms and representable functions in Moisil logic — Andrei Sipoş · Algebra Universalis (2026) | TGRS Research Map | TGRS