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Horn clauses are also the basis of logic programming, where it is common to write definite clauses in the form of an implication: ( p ∧ q ∧ ... ∧ t ) → u In fact, the resolution of a goal clause with a definite clause to produce a new goal clause is the basis of the SLD resolution inference rule, used in implementation of the logic ...
Horn-satisfiability. In formal logic, Horn-satisfiability, or HORNSAT, is the problem of deciding whether a given set of propositional Horn clauses is satisfiable or not. 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 number of ...
Given a goal clause, represented as the negation of a problem to be solved : with selected literal , and an input definite clause: . whose positive literal (atom) unifies with the atom of the selected literal , SLD resolution derives another goal clause, in which the selected literal is replaced by the negative literals of the input clause and the unifying substitution is applied:
Constrained Horn clauses. Constrained Horn clauses (CHCs) are a fragment of first-order logic with applications to program verification and synthesis. Constrained Horn clauses can be seen as a form of constraint logic programming. [1]
The problem of deciding the satisfiability of a given conjunction of Horn clauses is called Horn-satisfiability, or HORN-SAT. It can be solved in polynomial time by a single step of the unit propagation algorithm, which produces the single minimal model of the set of Horn clauses (w.r.t. the set of literals assigned to TRUE).
Negative raising. In linguistics, negative raising is a phenomenon that concerns the raising of negation from the embedded or subordinate clause of certain predicates to the matrix or main clause. [1] The higher copy of the negation, in the matrix clause, is pronounced; but the semantic meaning is interpreted as though it were present in the ...
In the simplest case of Horn clauses (or "definite" clauses), all of the A, B 1, ..., B n are atomic formulae of the form p(t 1,..., t m), where p is a predicate symbol naming a relation, like "motherhood", and the t i are terms naming objects (or individuals). Terms include both constant symbols, like "charles", and variables, such as X, which ...
It is customary to classify Swedish nouns into five declensions based on their plural indefinite endings: -or, -ar, - (e)r, -n, and no ending. Nouns of the first declension are all of the common gender (historically feminine). The majority of these nouns end in -a in the singular and replace it with -or in the plural.