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- Herbrand_interpretation abstract "In mathematical logic, a Herbrand interpretation is an interpretation in which all constants and function symbols are assigned very simple meanings. Specifically, every constant is interpreted as itself, and every function symbol is interpreted as the function that applies it. The interpretation also defines predicate symbols as denoting a subset of the relevant Herbrand base, effectively specifying which ground atoms are true in the interpretation. This allows the symbols in a set of clauses to be interpreted in a purely syntactic way, separated from any real instantiation.The importance of Herbrand interpretations is that, if any interpretation satisfies a given set of clauses S then there is a Herbrand interpretation that satisfies them. Moreover, Herbrand's theorem states that if S is unsatisfiable then there is a finite unsatisfiable set of ground instances from the Herbrand universe defined by S. Since this set is finite, its unsatisfiability can be verified in finite time. However there may be an infinite number of such sets to check. It is named after Jacques Herbrand.".
- Herbrand_interpretation wikiPageID "7731831".
- Herbrand_interpretation wikiPageLength "1462".
- Herbrand_interpretation wikiPageOutDegree "16".
- Herbrand_interpretation wikiPageRevisionID "635276419".
- Herbrand_interpretation wikiPageWikiLink Category:Mathematical_logic.
- Herbrand_interpretation wikiPageWikiLink Clause_(logic).
- Herbrand_interpretation wikiPageWikiLink Function_(mathematics).
- Herbrand_interpretation wikiPageWikiLink Ground_atom.
- Herbrand_interpretation wikiPageWikiLink Ground_expression.
- Herbrand_interpretation wikiPageWikiLink Herbrand_base.
- Herbrand_interpretation wikiPageWikiLink Herbrand_structure.
- Herbrand_interpretation wikiPageWikiLink Herbrand_universe.
- Herbrand_interpretation wikiPageWikiLink Herbrands_theorem.
- Herbrand_interpretation wikiPageWikiLink Interpretation_(logic).
- Herbrand_interpretation wikiPageWikiLink Interpretation_(model_theory).
- Herbrand_interpretation wikiPageWikiLink Jacques_Herbrand.
- Herbrand_interpretation wikiPageWikiLink Logical_constant.
- Herbrand_interpretation wikiPageWikiLink Mathematical_logic.
- Herbrand_interpretation wikiPageWikiLink Satisfiability.
- Herbrand_interpretation wikiPageWikiLink Satisfiable.
- Herbrand_interpretation wikiPageWikiLink Syntax.
- Herbrand_interpretation wikiPageWikiLink Term_algebra.
- Herbrand_interpretation wikiPageWikiLinkText "Herbrand interpretation".
- Herbrand_interpretation wikiPageWikiLinkText "interpretation".
- Herbrand_interpretation hasPhotoCollection Herbrand_interpretation.
- Herbrand_interpretation wikiPageUsesTemplate Template:Logic-stub.
- Herbrand_interpretation wikiPageUsesTemplate Template:Mathlogic-stub.
- Herbrand_interpretation wikiPageUsesTemplate Template:Noref.
- Herbrand_interpretation subject Category:Mathematical_logic.
- Herbrand_interpretation hypernym Interpretation.
- Herbrand_interpretation type Article.
- Herbrand_interpretation type Work.
- Herbrand_interpretation type Article.
- Herbrand_interpretation type Field.
- Herbrand_interpretation comment "In mathematical logic, a Herbrand interpretation is an interpretation in which all constants and function symbols are assigned very simple meanings. Specifically, every constant is interpreted as itself, and every function symbol is interpreted as the function that applies it. The interpretation also defines predicate symbols as denoting a subset of the relevant Herbrand base, effectively specifying which ground atoms are true in the interpretation.".
- Herbrand_interpretation label "Herbrand interpretation".
- Herbrand_interpretation sameAs Herbrand-interpretáció.
- Herbrand_interpretation sameAs Interpretação_de_Herbrand.
- Herbrand_interpretation sameAs m.026b797.
- Herbrand_interpretation sameAs Эрбранова_интерпретация.
- Herbrand_interpretation sameAs Q1035432.
- Herbrand_interpretation sameAs Q1035432.
- Herbrand_interpretation wasDerivedFrom Herbrand_interpretation?oldid=635276419.
- Herbrand_interpretation isPrimaryTopicOf Herbrand_interpretation.