Nilpotent minimum logic nm and pretabularity

Eunsuk Yang

doi:10.18778/0138-0680.2020.01

Nilpotent minimum logic nm and pretabularity

Eunsuk Yang^*

^*Corresponding author for this work

Department of Philosophy

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

This paper deals with pretabularity of fuzzy logics. For this, we first introduce two systems NM^nfp and NM ^1/2, which are expansions of the fuzzy system NM (Nilpotent minimum logic), and examine the relationships between NM^nfp and the another known extended system NM⁻. Next, we show that NM^nfp and NM ^1/2 are pretabular, whereas NM is not. We also discuss their algebraic completeness.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Bulletin of the Section of Logic
Volume	49
Issue number	1
DOIs	https://doi.org/10.18778/0138-0680.2020.01
State	Published - 2020

Keywords

Algebraic semantics
Finite model property
Fuzzy logic
Nilpotent minimum logic
Pretabularity

Quacquarelli Symonds(QS) Subject Topics

Mathematics
Philosophy

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10.18778/0138-0680.2020.01

Cite this

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AB - This paper deals with pretabularity of fuzzy logics. For this, we first introduce two systems NMnfp and NM 1/2, which are expansions of the fuzzy system NM (Nilpotent minimum logic), and examine the relationships between NMnfp and the another known extended system NM−. Next, we show that NMnfp and NM 1/2 are pretabular, whereas NM is not. We also discuss their algebraic completeness.

KW - Algebraic semantics

KW - Finite model property

KW - Fuzzy logic

KW - Nilpotent minimum logic

KW - Pretabularity

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Nilpotent minimum logic nm and pretabularity

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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