called a dual-Horn clause. A Horn clause with exactly one positive literal is a definite clause or a strict Horn clause; a definite clause with no negative...

Horn-satisfiability and Horn clauses are named after Alfred Horn. A Horn clause is a clause with at most one positive literal, called the head of the clause, and any...

Constrained Horn clauses (CHCs) are a fragment of first-order logic with applications to program verification and synthesis. Constrained Horn clauses can be...

(called a negative literal). A clause is a disjunction of literals (or a single literal). A clause is called a Horn clause if it contains at most one positive...

written in the form: ?- B1, ..., Bn. In the simplest case of Horn clauses (or "definite" clauses), all of the A, B1, ..., Bn are atomic formulae of the form...

are sets of guarded Horn clauses of the form: H :- G1, …, Gn | B1, …, Bn. The conjunction G1, … , Gn is called the guard of the clause, and | is the commitment...

(or "definite" clauses), which are a subset of first-order logic, all of the A, B1, ..., Bn are atomic formulae. Although Horn clause logic programs are...

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...

clause while still being interpretable in the embedded clause. The second sentence is viewed as impossible because the Horn clause is a main clause,...

a (Prolog) query. If n > 1, the clause is no longer Horn. Conjunctive normal form Disjunctive normal form Horn clause Chang, Chin-Liang; Richard Char-Tung...

resolution, which is both sound and refutation complete for Horn clauses. Given a goal clause, represented as the negation of a problem to be solved : ¬...

of Women in Computing Guitar Hero Carabiner, a gaming device Guarded Horn clause, in concurrent logic programming Guimarães Historic Centre, a UNESCO...

project. KL1 is an implementation of Flat GHC (a subset of the Guarded Horn Clauses language by Kazunori Ueda), making it a parallelised Prolog variant....

describe relations, defined by means of clauses. Pure Prolog is restricted to Horn clauses. Two types of Horn clauses are used to define Prolog programs:...

doing unit propagation for all unit clauses is linear in the size of the set of clauses. Horn satisfiability Horn clause Automated theorem proving DPLL algorithm...

development of logic programming and Prolog, using SLD resolution to treat Horn clauses as goal-reduction procedures. The early development of logic programming...

axiomatized regular expressions as a Kleene algebra, using equational and Horn clause axioms. Already in 1964, Redko had proved that no finite set of purely...

Inference in both Horn clause logic and first-order logic is undecidable, and therefore intractable. However, backward reasoning with Horn clauses, which underpins...

theorem provers discussed below can prove theorems in first-order logic. Horn clause logic is more restricted than first-order logic and is used in logic...

one equation s1 ≠ t1 ∨ ... ∨ sn ≠ tn ∨ s = t—that is, as a definite Horn clause. A quasi-identity with n = 0 is an ordinary identity or equation, so...

procedure. He developed SLD resolution and the procedural interpretation of Horn clauses, which underpin the operational semantics of backward reasoning in logic...

Arie; McMillan, Ken; Rybalchenko, Andrey (2015). "Horn Clause Solvers for Program Verification". Horn Clause Solvers for Software Verification. Lecture Notes...

compilation. On the other hand, logic programming, which combines the Horn clause subset of first-order logic with a non-monotonic form of negation, has...

resemblance to the Horn clause subset of first order predicate calculus. Moreover, it identified the need to extend the use of Horn clauses by including negative...

typically used are universal axioms of a restricted form, called Horn-clauses or definite-clauses. The statement proved in a computation is an existential statement...

does not require an inverse element. The conditions take the form of a Horn clause. Besides identities, universal algebra is also interested in structural...

model systems are: finite-state machines, labelled transition systems, Horn clauses, Petri nets, vector addition systems, timed automata, hybrid automata...

programming techniques. Its foundation is Horn clause logic with equality, which consists of predicates and Horn clauses for logic programming, and functions...

unions of algebras" described Horn clauses and Horn sentences, which later would form the foundation of logic programming. Horn was born on Lower East Side...

theory and a sound and complete proof theory. Transaction Logic has a Horn clause subset, which has a procedural as well as a declarative semantics. The...