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Term algebra

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X. Other synonyms for the notion include absolutely free algebra and anarchic…

Overview, Example & Universal algebra

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Universal algebra

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Decidability

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Term algebra

Nodes39
Edges38
Triples5
Avg. degree1.95
Density0.051282
Components1

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Term algebra

Top relations

is a · 3
Term algebra → concrete model of the abstract declaration, freely generated algebraic structure over a given signature, initial object for the category of all X-generated algebras of the same signature
related to Decidability · 2
Term algebra → NONELEMENTARY, The

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displaystyle term algebra tau mathcal terms function type set herbrand symbols signature defined example color red universe variable ground symbol

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Term algebrais afreely generated algebraic structure over a given signature0.90text
Term algebrais ainitial object for the category of all X-generated algebras of the same signature0.90text
Term algebrais aconcrete model of the abstract declaration0.90text
Term algebrarelated to DecidabilityThe0.60section
Term algebrarelated to DecidabilityNONELEMENTARY0.60section

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