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- Structure_(mathematical_logic) abstract "In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations, and relations that are defined on it. Universal algebra studies structures that generalize the algebraic structures such as groups, rings, fields and vector spaces. The term universal algebra is used for structures with no relation symbols.Model theory has a different scope that encompasses more arbitrary theories, including foundational structures such as models of set theory. From the model-theoretic point of view, structures are the objects used to define the semantics of first-order logic. For a given theory in model theory, a structure is called a model, if it satisfies the defining axioms of that theory, although it is sometimes disambiguated as a semantic model when one discusses the notion in the more general setting of mathematical models. Logicians sometimes refer to structures as interpretations.In database theory, structures with no functions are studied as models for relational databases, in the form of relational models.".
- Structure_(mathematical_logic) wikiPageExternalLink plato.stanford.edu.
- Structure_(mathematical_logic) wikiPageExternalLink logic-classical.
- Structure_(mathematical_logic) wikiPageExternalLink 4.
- Structure_(mathematical_logic) wikiPageExternalLink graph.theory.
- Structure_(mathematical_logic) wikiPageExternalLink 978-1-4419-1220-6.
- Structure_(mathematical_logic) wikiPageExternalLink ualg.html.
- Structure_(mathematical_logic) wikiPageID "4055928".
- Structure_(mathematical_logic) wikiPageRevisionID "599466519".
- Structure_(mathematical_logic) hasPhotoCollection Structure_(mathematical_logic).
- Structure_(mathematical_logic) subject Category:Mathematical_logic.
- Structure_(mathematical_logic) subject Category:Mathematical_structures.
- Structure_(mathematical_logic) subject Category:Model_theory.
- Structure_(mathematical_logic) subject Category:Universal_algebra.
- Structure_(mathematical_logic) type Artifact100021939.
- Structure_(mathematical_logic) type MathematicalStructures.
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- Structure_(mathematical_logic) type Structure104341686.
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- Structure_(mathematical_logic) comment "In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations, and relations that are defined on it. Universal algebra studies structures that generalize the algebraic structures such as groups, rings, fields and vector spaces.".
- Structure_(mathematical_logic) label "Estructura (lógica)".
- Structure_(mathematical_logic) label "Estrutura de interpretação (lógica)".
- Structure_(mathematical_logic) label "Modello (logica matematica)".
- Structure_(mathematical_logic) label "Structure (logique mathématique)".
- Structure_(mathematical_logic) label "Structure (mathematical logic)".
- Structure_(mathematical_logic) label "Struktur (erste Stufe)".
- Structure_(mathematical_logic) label "结构 (数理逻辑)".
- Structure_(mathematical_logic) sameAs Model_(logika).
- Structure_(mathematical_logic) sameAs Struktur_(erste_Stufe).
- Structure_(mathematical_logic) sameAs Estructura_(lógica).
- Structure_(mathematical_logic) sameAs Structure_(logique_mathématique).
- Structure_(mathematical_logic) sameAs Modello_(logica_matematica).
- Structure_(mathematical_logic) sameAs Estrutura_de_interpretação_(lógica).
- Structure_(mathematical_logic) sameAs m.0bfvql.
- Structure_(mathematical_logic) sameAs Q1851710.
- Structure_(mathematical_logic) sameAs Q1851710.
- Structure_(mathematical_logic) sameAs Structure_(mathematical_logic).
- Structure_(mathematical_logic) wasDerivedFrom Structure_(mathematical_logic)?oldid=599466519.
- Structure_(mathematical_logic) isPrimaryTopicOf Structure_(mathematical_logic).