- intuitionistic calculus
- мат.интуиционистское исчисление
English-Russian scientific dictionary. 2008.
intuitionistic calculus
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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
Calculus of constructions — The calculus of constructions (CoC) is a higher order typed lambda calculus, initially developed by Thierry Coquand, where types are first class values. It is thus possible, within the CoC, to define functions from, say, integers to types, types… … Wikipedia
intuitionistic logic — The logical system developed initially by A. Heyting (b. 1898) to formalize the reasonings allowed by mathematical intuitionism . It is designed so that p ∨ ¬ p is not a theorem, and the rule of inference from ¬¬ p to p is disallowed (the logic… … Philosophy dictionary
Calculus of inductive constructions — The calculus of inductive constructions is the underlying core language of the Coq Proof Assistant. It is based on the calculus of constructions extended by inductive definitions as they are known from intuitionistic type theory … 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
Sequent calculus — In proof theory and mathematical logic, sequent calculus is a family of formal systems sharing a certain style of inference and certain formal properties. The first sequent calculi, systems LK and LJ, were introduced by Gerhard Gentzen in 1934 as … Wikipedia
Monadic predicate calculus — In logic, the monadic predicate calculus is the fragment of predicate calculus in which all predicate letters are monadic (that is, they take only one argument), and there are no function letters. All atomic formulae have the form P(x), where P… … Wikipedia
SKI combinator calculus — is a computational system that is a reduced, untyped version of Lambda calculus. All operations in Lambda calculus are expressed in SKI as binary trees whose leaves are one of the three symbols S, K, and I (called combinators). In fact, the… … Wikipedia
Simply typed lambda calculus — The simply typed lambda calculus (lambda^ o) is a typed interpretation of the lambda calculus with only one type combinator: o (function type). It is the canonical and simplest example of a typed lambda calculus. The simply typed lambda calculus… … Wikipedia
Typed lambda calculus — A typed lambda calculus is a typed formalism that uses the lambda symbol (lambda) to denote anonymous function abstraction. Typed lambda calculi are foundational programming languages and are the base of typed functional programming languages… … Wikipedia
