negation completeness
61Prenex normal form — A formula of the predicate calculus is in prenex[1] normal form if it is written as a string of quantifiers followed by a quantifier free part (referred to as the matrix). Every formula in classical logic is equivalent to a formula in prenex… …
62Interpretation (logic) — An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until …
63Logical truth — is one of the most fundamental concepts in logic, and there are different theories on its nature. A logical truth is a statement which is true and remains true under all reinterpretations of its components other than its logical constants. It is… …
64Complete theory — In mathematical logic, a theory is complete if it is a maximal consistent set of sentences, i.e., if it is consistent, and none of its proper extensions is consistent. For theories in logics which contain classical propositional logic, this is… …
65Gödel's ontological proof — is a formalization of Saint Anselm s ontological argument for God s existence by the mathematician Kurt Gödel.St. Anselm s ontological argument, in its most succinct form, is as follows: God, by definition, is that than which a greater cannot be… …
66Prolog — infobox programming language paradigm = Logic programming year = 1972 designer = Alain Colmerauer implementations = BProlog, ECLiPSe, Ciao Prolog, GNU Prolog, Quintus, SICStus, Strawberry, SWI Prolog, YAP Prolog, tuProlog dialects = ISO Prolog,… …
67Russell's paradox — Part of the foundations of mathematics, Russell s paradox (also known as Russell s antinomy), discovered by Bertrand Russell in 1901, showed that the naive set theory of Frege leads to a contradiction.It might be assumed that, for any formal… …
68Relational algebra — Not to be confused with Relation algebra. Relational algebra, an offshoot of first order logic (and of algebra of sets), deals with a set of finitary relations (see also relation (database)) that is closed under certain operators. These operators …
69Logical NOR — This article is about NOR in the logical sense. For the electronic gate, see NOR gate. For other uses, see Nor. Venn diagram of In boolean logic, logical nor or joint denial is a truth functional operator which produces a result that is the… …
70Checker Book Publishing Group — Type Private Industry Publishers of Comics Reprints Founded 2000 by Mark Thompson, Ben Rangel Paul Dubuc …
