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Finite model theory

Finite model theory is a subarea of model theory. Model theory is the branch of logic which deals with the relation between a formal language (syntax) and its interpretations (semantics). Finite model theory is a restriction of model theory to interpretations on finite structures, which have a finite universe.

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Zero-one laws

Descriptive complexity theory

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Map overview Semantic statistics

Finite model theory

Nodes61
Edges60
Triples121
Avg. degree1.97
Density0.032787
Components1

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Finite model theory

Top relations

related to External links · 32
Finite model theory → ACM SIGACT, Algorithmic Model Theory, Also, Anuj Dawar, Archived, Based, Cambridge, Department, Elements, FMT, Helsinki, Includes, Infinite, Introductory, Jouko Väänänen, July, Leonid, Leonid Libkin, Libkin, Mathematics
related to References · 27
Finite model theory → Also, BF01071084, Cybernetics, Ebbinghaus, Elements, Fagin, Finite Models, Flum, Glebskiĭ, Heinz-Dieter, ISBN, JSTOR, Jörg, Kibernetika, Kogan, Leonid, Libkin, Liogon'kiĭ, Probabilities, Range
related to Further reading · 24
Finite model theory → An EATCS Series, Berlin, Erich, Finite, Grädel, ISBN, Joel, Kolaitis, Leonid, Libkin, Maarten, Marx, Moshe, Phokion, Scott, Spencer, Springer-Verlag, Texts, Theoretical Computer Science, Vardi
related to history · 23
Finite model theory → Aachen, Abiteboul, Algorithmic Model Theory, Constraint Databases, Darmstadt, Databases, Descriptive Complexity, Ebbinghaus, Flum, FMTImmerman, Foundations, Harel, Hull, Immerman, Kuper, Libkin, NPChandra, Paredaens, PTIME, Szelepcsényi
related to Axiomatisability · 6
Finite model theory → FO, FO-expressible, For, L-sentence, Similarly, Some
related to Descriptive complexity theory · 6
Finite model theory → An, For, PH, Specifically, The, This
is a · 3
Finite model theory → characterisation of complexity classes by the type of logic needed to express the languages in them, restriction of model theory to interpretations on finite structures, subarea of model theory

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Important terminology

finite structures logic theory model fo first-order displaystyle structure language complexity database one theorem always sentence single class infinite classes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Finite model theoryis asubarea of model theory0.90text
Finite model theoryis arestriction of model theory to interpretations on finite structures0.90text
Finite model theoryis acharacterisation of complexity classes by the type of logic needed to express the languages in them0.90text
Finite model theoryrelated to AxiomatisabilityFor0.60section
Finite model theoryrelated to AxiomatisabilityFO0.60section
Finite model theoryrelated to AxiomatisabilityFO-expressible0.60section
Finite model theoryrelated to AxiomatisabilityL-sentence0.60section
Finite model theoryrelated to AxiomatisabilitySimilarly0.60section
Finite model theoryrelated to AxiomatisabilitySome0.60section
Finite model theoryrelated to Descriptive complexity theoryAn0.60section
Finite model theoryrelated to Descriptive complexity theoryFor0.60section
Finite model theoryrelated to Descriptive complexity theoryPH0.60section

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