What does horn clause mean?

Definitions for horn clause
horn clause

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Wiktionary

  1. Horn clausenoun

    A clause (disjunction of literals) with at most one positive literal.

  2. Etymology: After the logician.

Wikipedia

  1. Horn clause

    In mathematical logic and logic programming, a Horn clause is a logical formula of a particular rule-like form which gives it useful properties for use in logic programming, formal specification, and model theory. Horn clauses are named for the logician Alfred Horn, who first pointed out their significance in 1951.

Wikidata

  1. Horn clause

    In mathematical logic, a Horn clause is a clause with at most one positive literal. Horn clauses are named for the logician Alfred Horn, who first pointed out the significance of such clauses in 1951, in the article "On sentences which are true of direct unions of algebras", Journal of Symbolic Logic, 16, 14–21. A Horn clause with exactly one positive literal is a definite clause; a definite clause with no negative literals is sometimes called a “fact”; and a Horn clause without a positive literal is sometimes called a goal clause. These three kinds of Horn clauses are illustrated in the following propositional example: In the non-propositional case, all variables in a clause are implicitly universally quantified with scope the entire clause. Thus, for example: stands for: which is logically equivalent to: Horn clauses play a basic role in constructive logic and computational logic. They are important in automated theorem proving by first-order resolution, because the resolvent of two Horn clauses is itself a Horn clause, and the resolvent of a goal clause and a definite clause is a goal clause. These properties of Horn clauses can lead to greater efficiencies in proving a theorem.

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Numerology

  1. Chaldean Numerology

    The numerical value of horn clause in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of horn clause in Pythagorean Numerology is: 8

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"horn clause." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/horn+clause>.

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