Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Gxc3xb6dels_completeness_theorem> ?p ?o }
- Gxc3xb6dels_completeness_theorem abstract "Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic. It makes a close link between model theory that deals with what is true in different models, and proof theory that studies what can be formally proven in particular formal systems.It was first proved by Kurt Gödel in 1929. It was then simplified in 1947, when Leon Henkin observed in his Ph.D. thesis that the hard part of the proof can be presented as the Model Existence Theorem (published in 1949). Henkin's proof was simplified by Gisbert Hasenjaeger in 1953.".
- Gxc3xb6dels_completeness_theorem wikiPageExternalLink Completeness-paper.pdf.
- Gxc3xb6dels_completeness_theorem wikiPageExternalLink goedel.
- Gxc3xb6dels_completeness_theorem wikiPageExternalLink Godel.html.
- Gxc3xb6dels_completeness_theorem wikiPageExternalLink ~podnieks.
- Gxc3xb6dels_completeness_theorem wikiPageID "12450".
- Gxc3xb6dels_completeness_theorem wikiPageLength "13285".
- Gxc3xb6dels_completeness_theorem wikiPageOutDegree "67".
- Gxc3xb6dels_completeness_theorem wikiPageRevisionID "656456908".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Algorithm.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Axiom_of_choice.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Boolean_prime_ideal_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Category:Metatheorems.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Category:Model_theory.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Category:Proof_theory.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Category:Theorems_in_the_foundations_of_mathematics.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Category:Works_by_Kurt_Gödel.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Compactness_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Computable_function.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Computer.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Consistency.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Consistent.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Deductive_system.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Doctor_of_Philosophy.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Effectively_computable.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Enumerable_set.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink First-order_logic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Formal_system.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Gisbert_Hasenjaeger.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Group_theory.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Gxc3xb6dels_incompleteness_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Gxc3xb6dels_incompleteness_theorems.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Henkin_semantics.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Herbrand_structure.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Hilbert-style_deduction_system.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Hilbert_system.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink If_and_only_if.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Intuitionistic_logic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Isabelle_(proof_assistant).
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Isabelle_(theorem_prover).
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Kripke_semantics.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Kurt_Gödel.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Leon_Henkin.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Lindstrxc3xb6ms_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Logical_consequence.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Löwenheim–Skolem_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Mathematical_logic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Modal_logic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Model_theory.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Natural_deduction.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Non-standard_model_of_arithmetic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Original_proof_of_Gxc3xb6dels_completeness_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Peano_arithmetic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Peano_axioms.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Ph.D..
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Proof_theory.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Provability_logic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Recursively_enumerable_set.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Reverse_mathematics.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Second-order_logic.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Semantic_consequence.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Semantics.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Soundness.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Soundness_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Stanford_Encyclopedia_of_Philosophy.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Structure_(mathematical_logic).
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Tennenbaums_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Term_model.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Thesis.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Tree_structure.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Validity.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Weak_Kxc3xb6nigs_lemma.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Well-order.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "Gödel completeness theorem".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "Gödel's completeness theorem".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "Gödel's completeness".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "Gödel's_completeness_theorem".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "admit a complete proof apparatus".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "complete".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "completeness theorem".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "completeness".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "explicitly established".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "relative completeness".
- Gxc3xb6dels_completeness_theorem wikiPageWikiLinkText "the completeness theorem of first-order logic".
- Gxc3xb6dels_completeness_theorem hasPhotoCollection Gxc3xb6dels_completeness_theorem.
- Gxc3xb6dels_completeness_theorem wikiPageUsesTemplate Template:Center.
- Gxc3xb6dels_completeness_theorem wikiPageUsesTemplate Template:Cite_journal.
- Gxc3xb6dels_completeness_theorem wikiPageUsesTemplate Template:Metalogic.
- Gxc3xb6dels_completeness_theorem subject Category:Metatheorems.
- Gxc3xb6dels_completeness_theorem subject Category:Model_theory.
- Gxc3xb6dels_completeness_theorem subject Category:Proof_theory.
- Gxc3xb6dels_completeness_theorem subject Category:Theorems_in_the_foundations_of_mathematics.
- Gxc3xb6dels_completeness_theorem subject Category:Works_by_Kurt_Gödel.
- Gxc3xb6dels_completeness_theorem comment "Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic. It makes a close link between model theory that deals with what is true in different models, and proof theory that studies what can be formally proven in particular formal systems.It was first proved by Kurt Gödel in 1929. It was then simplified in 1947, when Leon Henkin observed in his Ph.D.".
- Gxc3xb6dels_completeness_theorem label "Gödel's completeness theorem".
- Gxc3xb6dels_completeness_theorem sameAs Gödelova_věta_o_úplnosti_predikátové_logiky.
- Gxc3xb6dels_completeness_theorem sameAs Gödelscher_Vollständigkeitssatz.
- Gxc3xb6dels_completeness_theorem sameAs Teorema_de_completitud_de_Gödel.
- Gxc3xb6dels_completeness_theorem sameAs Théorème_de_complétude_de_Gödel.