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Equational logic

First-order equational logic consists of quantifier-free terms of ordinary first-order logic, with equality as the only predicate symbol. The model theory of this logic was developed into universal algebra by Birkhoff, Grätzer, and Cohn. It was later made into a branch of category theory by Lawvere ("algebraic theories").

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Syllogism

Inference rulesBoolean
2 related topics

Overview

LogicQuantifierFirst-order logicPredicate symbolModel theory
11 related topics

Proof

Not
1 related topics

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Syllogism

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  • Not Logical negation

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Equational logic

Nodes18
Edges17
Triples6
Avg. degree1.89
Density0.111111
Components1

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Equational logic

Top relations

related to External links · 6
Equational logic → Alex, Eric, From MathWorld--A Wolfram Web, Resource, Sakharov, Weisstein

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Important terminology

textstyle logic inference equiv lnot equality equational theory substitution used bot theorem rule line using terms top leibniz premise symbols

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Equational logicrelated to External linksSakharov0.60section
Equational logicrelated to External linksAlex0.60section
Equational logicrelated to External linksFrom MathWorld--A Wolfram Web0.60section
Equational logicrelated to External linksResource0.60section
Equational logicrelated to External linksEric0.60section
Equational logicrelated to External linksWeisstein0.60section

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    Min side: 3
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