- intuitionistic implication
- мат.интуиционистская импликация
English-Russian scientific dictionary. 2008.
intuitionistic implication
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Intuitionistic logic — Intuitionistic logic, or constructive logic, is a symbolic logic system differing from classical logic in its definition of the meaning of a statement being true. In classical logic, all well formed statements are assumed to be either true or… … Wikipedia
Intuitionistic type theory — Intuitionistic type theory, or constructive type theory, or Martin Löf type theory or just Type Theory is a logical system and a set theory based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per… … Wikipedia
implication — implicational, adj. /im pli kay sheuhn/, n. 1. something implied or suggested as naturally to be inferred or understood: to resent an implication of dishonesty. 2. the act of implying: His implication of immediate changes surprised us. 3. the… … Universalium
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Dependence logic — is a logical formalism, created by Jouko Väänänen[1], which adds dependence atoms to the language of first order logic. A dependence atom is an expression of the form , where are terms, and corresponds to the statement that the value of is… … Wikipedia
Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… … Wikipedia
Heyting algebra — In mathematics, Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras, named after Arend Heyting. Heyting algebras arise as models of intuitionistic logic, a logic in which the law of excluded… … Wikipedia
Curry–Howard correspondence — A proof written as a functional program: the proof of commutativity of addition on natural numbers in the proof assistant Coq. nat ind stands for mathematical induction, eq ind for substitution of equals and f equal for taking the same function… … Wikipedia
Linear logic — In mathematical logic, linear logic is a type of substructural logic that denies the structural rules of weakening and contraction . The interpretation is of hypotheses as resources : every hypothesis must be consumed exactly once in a proof.… … Wikipedia
Natural deduction — In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the natural way of reasoning. This contrasts with the axiomatic systems which instead use… … Wikipedia
Logic — For other uses, see Logic (disambiguation). Philosophy … Wikipedia
