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Unification (computer science)

In logic and computer science, specifically automated reasoning, unification is an algorithmic process of solving equations between symbolic expressions, each of the form Left-hand side = Right-hand side. For example, using x,y,z as variables, and taking f to be an uninterpreted function, the singleton equation set { f(1,y) = f(x,2) } is a syntactic…

Science, Formal definition & Syntactic unification of first-order terms

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Overview

Formal definition

Syntactic unification of first-order terms

Order-sorted unification

Unification of infinite terms

E-unification

Higher-order unification

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Unification (computer science)

Nodes104
Edges103
Triples4
Avg. degree1.98
Density0.019231
Components1

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Important terminology

unification terms set displaystyle problem term substitution example variables variable equation higher-order solution logic algorithm first-order called function equations algorithms

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Epigraminstance ofin a dependently typed language0.80text
Robinson's unification algorithm can be made recursive on the number of variablesinstance ofin a dependently typed language0.80text
in which case a separate termination proof becomes unnecessary.Examples of syntactic unification of first-order termsIn the Prolog syntactical convention a symbol starting with an upper case letter is a variable nameinstance ofin a dependently typed language0.80text
in which case a separate termination proof becomes unnecessaryinstance ofin a dependently typed language0.80text

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