programming language theory and proof theory, the Curry–Howard correspondence (also known as the Curry–Howard isomorphism or equivalence, or the proofs-as-programs...

Schönfinkel, for which Curry did much of the development. Curry is also known for Curry's paradox and the Curry–Howard correspondence. Named for him are three...

notion of currying and uncurrying is in the closed monoidal categories, which underpins a vast generalization of the Curry–Howard correspondence of proofs...

is strongly related to the consistency of a type system with Curry–Howard correspondence. To be sound, such a system must have uninhabited types. A type...

simply typed lambda calculus that has come to be known as the Curry–Howard correspondence. He has also been active in the theory of proof-theoretic ordinals...

cosine, in mathematics, a hyperbolic function, ch(x) = cosh(x) Curry–Howard correspondence, the relationship between computer programs and mathematical...

coincide with the empty type, which represents absurdum under the Curry–Howard correspondence The "undefined value" in quantum physics interpretations that...

exists". (Because of this and other work by Howard, propositions-as-types is known as the Curry–Howard correspondence.) Loosely speaking, dependent types are...

The Curry–Howard correspondence is the interpretation of proofs-as-programs and formulae-as-types. The idea starting in 1934 with Haskell Curry and finalized...

limitations on computer memory. A deep result in proof theory, the Curry–Howard correspondence, states that a proof of functional correctness in constructive...