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- Clause_(logic) abstract "In logic, a clause is a finite disjunction ofliterals. Clausesare usually written as follows, where the symbols areliterals:In some cases, clauses are written (or defined) as sets of literals, so that clause abovewould be written as . That this set is to beinterpreted as the disjunction of its elements is implied by thecontext. A clause can be empty; in this case, it is an empty set of literals.The empty clause is denoted by various symbols such as ,, or . The truth evaluation of an emptyclause is always .In first-order logic, a clause is interpreted as the universal closure of the disjunction of literals.[citation needed] Formally, a first-orderatom is a formula of the kind of , whereis a predicate of arity and each is an arbitrary term, possibly containing variables. A first-order literal is either an atom or a negated atom . Ifare literals, and aretheir (free) variables, then is a clause, implicitly read as the closed first-order formula .The usual definition of satisfiability assumes free variables to be existentially quantified, so the omission of a quantifier is to be taken as a convention and not as a consequence of how the semantics deal with free variables.In logic programming, clauses are usually written as the implication of ahead from a body. In the simplest case, the body is a conjunction of literalswhile the head is a single literal. More generally, the head may be adisjunction of literals. If are the literals in thebody of a clause and are those of its head, the clauseis usually written as follows: If m=0 and n=1, the clause is called a (Prolog) fact. If m>0 and n=1, the clause is called a (Prolog) rule. If m>0 and n=0, the clause is called a (Prolog) query. If n>1, the clause is no longer Horn.↑".
- Clause_(logic) wikiPageExternalLink Clause_%28logic%29.
- Clause_(logic) wikiPageExternalLink Clause.html.
- Clause_(logic) wikiPageID "4638484".
- Clause_(logic) wikiPageRevisionID "585930546".
- Clause_(logic) hasPhotoCollection Clause_(logic).
- Clause_(logic) subject Category:Logic_programming.
- Clause_(logic) subject Category:Predicate_logic.
- Clause_(logic) subject Category:Propositional_calculus.
- Clause_(logic) comment "In logic, a clause is a finite disjunction ofliterals. Clausesare usually written as follows, where the symbols areliterals:In some cases, clauses are written (or defined) as sets of literals, so that clause abovewould be written as . That this set is to beinterpreted as the disjunction of its elements is implied by thecontext. A clause can be empty; in this case, it is an empty set of literals.The empty clause is denoted by various symbols such as ,, or .".
- Clause_(logic) label "Clause (logic)".
- Clause_(logic) label "Clause (logique)".
- Clause_(logic) label "Clausule (logica)".
- Clause_(logic) label "Cláusula (lógica)".
- Clause_(logic) label "Cláusula (lógica)".
- Clause_(logic) label "Disjunktionsterm".
- Clause_(logic) label "Klauzula (matematyka)".
- Clause_(logic) label "Элементарная дизъюнкция".
- Clause_(logic) label "子句 (逻辑)".
- Clause_(logic) sameAs Disjunktionsterm.
- Clause_(logic) sameAs Cláusula_(lógica).
- Clause_(logic) sameAs Clause_(logique).
- Clause_(logic) sameAs Clausule_(logica).
- Clause_(logic) sameAs Klauzula_(matematyka).
- Clause_(logic) sameAs Cláusula_(lógica).
- Clause_(logic) sameAs m.0cdy0l.
- Clause_(logic) sameAs Q1228746.
- Clause_(logic) sameAs Q1228746.
- Clause_(logic) wasDerivedFrom Clause_(logic)?oldid=585930546.
- Clause_(logic) isPrimaryTopicOf Clause_(logic).