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...

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

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...

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...

(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...

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...

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...

(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...

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...

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...

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...

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....

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...

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

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: ¬...

resolution theorem prover with Horn clauses of the form: H :- B1, ..., Bn. The application of the theorem-prover treats such clauses as procedures: to show/solve...

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

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

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...

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

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

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...

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

Stratification is not only useful for guaranteeing unique interpretation of Horn clause theories. In New Foundations (NF) and related set theories, a formula...

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...

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...

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

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

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...

needs to be present under certain conditions (which take the form of a Horn clause). It is a generalization of identity in the sense that every identity...