In mathematical logic, the Scott–Curry theorem is a result in lambda calculus stating that if two non-empty sets of lambda terms A and B are closed under...

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

Rice–Shapiro theorem and Kreisel-Lacombe-Shoenfield-Tseitin theorem, generalizations of Rice's theorem Scott–Curry theorem, an analogue to Rice's theorem in lambda...

theory, the Curry–Howard correspondence is the direct relationship between computer programs and mathematical proofs. It is also known as the Curry–Howard...

machine – A virtual machine designed for the lambda calculus Scott–Curry theorem – A theorem about sets of lambda terms To Mock a Mockingbird – An introduction...

the curry operator on some ordering of the inputs of some function. Tensor-hom adjunction Lazy evaluation Closure (computer science) S m n  theorem Closed...

user-defined operators. The Curry–Howard isomorphism implies a connection between logic and programming: every proof of a theorem of intuitionistic logic...

the Scott topology. For CPO, the cartesian closed category of dcpo's, two particularly notable examples of Scott-continuous functions are curry and apply...

proved the Lambek–Moser theorem about integer sequences. In 1963 he published an important result, now known as Lambek's theorem, on character modules characterizing...

first classification theorem for persistent homology appeared in 1994 via Barannikov's canonical forms. The classification theorem interpreting persistence...

("decision problem"), the Frege–Church ontology, and the Church–Rosser theorem. Alongside his doctoral student Alan Turing, Church is considered one of...

doi:10.1016/s0019-9958(82)90796-3. DS Scott (1980). "Relating theories of the lambda calculus". To HB Curry: Essays in Combinatory Logic. Balmer, Paul;...

Vogel-Fulcher-Tammann equation – Hans Vogel, Gordon Scott Fulcher, and Gustav Tammann Vogt–Russell theorem – Heinrich Vogt and Henry Norris Russell Voigt effect...

place: Sanjeev Bhaskar". The Times. Graff, Vincent (19 August 2007). "Spam curry, chips - and our beautiful launderette". The Observer. Retrieved 29 October...

is inconsistent, by means of a self-negating statement Curry's paradox (named after Haskell Curry), which does not require negation The smallest uninteresting...

driven by proof checkers, interactive proof assistants, and automated theorem provers. Most of these systems use a type theory as the mathematical foundation...

varieties enjoy some popularity, including Chicken tikka masala or other curry toppings, chilli pizzas, and a typical mid-range restaurant or takeaway...

Gottfried Leibniz) of differential calculus. He also created the binomial theorem, worked extensively on optics, and created a law of cooling. Figures from...

types. The new type constructor Π {\displaystyle \Pi } corresponds via the Curry-Howard isomorphism to a universal quantifier, and the system λP as a whole...

are the Scott continuous maps). Both currying and apply are continuous functions in the Scott topology, and currying, together with apply, provide the adjoint...

identities in Heyting algebras. In practice, one frequently uses the deduction theorem in such proofs. Since for any a and b in a Heyting algebra H we have a...

|<|A|<|\mathbb {R} |} is known as the continuum hypothesis. Cantor's theorem generalizes the second theorem above, showing that every set is strictly smaller than its...

Henrik Abel, Norwegian mathematician – Abelian group, Abel's theorem, Abel–Ruffini theorem Helmut Abt, German-born American astrophysicist - Abt's star...

following reasons: Until Dana Scott began writing on the model theory of combinatory logic in the late 1960s, almost only Haskell Curry, his students, and Robert...

pioneered and named The Internet of Things at M.I.T. Sanjeev Arora – PCP theorem Winifred "Tim" Alice Asprey – established the computer science curriculum...

History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the...

These topics typically culminated in the proof of the generalized Stokes theorem, though, time permitting, other relevant topics (e.g. category theory,...

comprehension as a theorem. The precise set of axioms can vary, but includes most of the following, with the others provable as theorems: Extensionality:...

sequences, and structures. recursion theorem 1.  Master theorem (analysis of algorithms) 2.  Kleene's recursion theorem recursive definition A definition...

eponymous donkey. Cantor–Bernstein–Schröder theorem (also known by other variations, such as Schröder-Bernstein theorem) first proved by Richard Dedekind Cantor...