In mathematical logic and logic programming, a Horn clause is a logical formula of a particular rule-like form that gives it useful properties for use in logic programming, formal specification, universal algebra and model theory. Horn clauses are named for the logician Alfred Horn, who first pointed out their significance in 1951.[1]
called a dual-Hornclause. A Hornclause with exactly one positive literal is a definite clause or a strict Hornclause; a definite clause with no negative...
Constrained Hornclauses (CHCs) are a fragment of first-order logic with applications to program verification and synthesis. Constrained Hornclauses can be...
(called a negative literal). A clause is a disjunction of literals (or a single literal). A clause is called a Hornclause if it contains at most one positive...
written in the form: ?- B1, ..., Bn. In the simplest case of Hornclauses (or "definite" clauses), all of the A, B1, ..., Bn are atomic formulae of the form...
conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is a disjunction of literals; otherwise...
are sets of guarded Hornclauses of the form: H :- G1, …, Gn | B1, …, Bn. The conjunction G1, … , Gn is called the guard of the clause, and | is the commitment...
doing unit propagation for all unit clauses is linear in the size of the set of clauses. Horn satisfiability Hornclause Automated theorem proving DPLL algorithm...
resolution, which is both sound and refutation complete for Hornclauses. Given a goal clause, represented as the negation of a problem to be solved : ¬...
describe relations, defined by means of clauses. Pure Prolog is restricted to Hornclauses. Two types of Hornclauses are used to define Prolog programs:...
development of logic programming and Prolog, using SLD resolution to treat Hornclauses as goal-reduction procedures. The early development of logic programming...
project. KL1 is an implementation of Flat GHC (a subset of the Guarded HornClauses language by Kazunori Ueda), making it a parallelised Prolog variant....
axiomatized regular expressions as a Kleene algebra, using equational and Hornclause axioms. Already in 1964, Redko had proved that no finite set of purely...
unions of algebras" described Hornclauses and Horn sentences, which later would form the foundation of logic programming. Horn was born on Lower East Side...
compilation. On the other hand, logic programming, which combines the Hornclause subset of first-order logic with a non-monotonic form of negation, has...
theorem provers discussed below can prove theorems in first-order logic. Hornclause logic is more restricted than first-order logic and is used in logic...
Inference in both Hornclause logic and first-order logic is undecidable, and therefore intractable. However, backward reasoning with Hornclauses, which underpins...
of Women in Computing Guitar Hero Carabiner, a gaming device Guarded Hornclause, in concurrent logic programming Great Harbour Cay Airport (IATA airport...
procedure. He developed SLD resolution and the procedural interpretation of Hornclauses, which underpin the operational semantics of backward reasoning in logic...
programming techniques. Its foundation is Hornclause logic with equality, which consists of predicates and Hornclauses for logic programming, and functions...
does not require an inverse element. The conditions take the form of a Hornclause. This means that all the elements of A {\displaystyle A} are also elements...
means of clauses. Pure Prolog is restricted to Hornclauses, a Turing-complete subset of first-order predicate logic. There are two types of clauses: Facts...
reserve clause. Star players, such as Lou Boudreau and Pee Wee Reese, indicated their support of the reserve clause. Minor league veteran Ross Horning testified...
and Cybernetics. Nov./Dec. 1991. Carl Hewitt and Gul Agha. Guarded Hornclause languages: are they deductive and Logical? International Conference on...