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...
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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...
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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...
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theory, the Curry–Howard correspondence is the direct relationship between computer programs and mathematical proofs. It is also known as the Curry–Howard...
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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...
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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...
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the Scott topology. For CPO, the cartesian closed category of dcpo's, two particularly notable examples of Scott-continuous functions are curry and apply...
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user-defined operators. The Curry–Howard isomorphism implies a connection between logic and programming: every proof of a theorem of intuitionistic logic...
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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...
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Topological data analysis (section Structure theorem)
first classification theorem for persistent homology appeared in 1994 via Barannikov's canonical forms. The classification theorem interpreting persistence...
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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;...
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("decision problem"), the Frege–Church ontology, and the Church–Rosser theorem. Alongside his doctoral student Alan Turing, Church is considered one of...
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Vogel-Fulcher-Tammann equation – Hans Vogel, Gordon Scott Fulcher, and Gustav Tammann Vogt–Russell theorem – Heinrich Vogt and Henry Norris Russell Voigt effect...
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Type theory (section Curry-Howard correspondence)
driven by proof checkers, interactive proof assistants, and automated theorem provers. Most of these systems use a type theory as the mathematical foundation...
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place: Sanjeev Bhaskar". The Times. Graff, Vincent (19 August 2007). "Spam curry, chips - and our beautiful launderette". The Observer. Retrieved 29 October...
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is inconsistent, by means of a self-negating statement Curry's paradox (named after Haskell Curry), which does not require negation The smallest uninteresting...
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It follows that Peirce's law cannot be intuitionistically derived. See Curry–Howard isomorphism for the general context of what this implies in type...
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List of pizza varieties by country (redirect from Banana curry pizza)
varieties enjoy some popularity, including Chicken tikka masala or other curry toppings, chilli pizzas, and a typical mid-range restaurant or takeaway...
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Henrik Abel, Norwegian mathematician – Abelian group, Abel's theorem, Abel–Ruffini theorem Helmut Abt, German-born American astrophysicist - Abt's star...
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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...
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are the Scott continuous maps). Both currying and apply are continuous functions in the Scott topology, and currying, together with apply, provide the adjoint...
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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...
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cuisine based on western tastes (such as chicken fried rice, chips and curry sauce). The earliest recipe for the crisp ("potato chip") is in English...
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sequences, and structures. recursion theorem 1. Master theorem (analysis of algorithms) 2. Kleene's recursion theorem recursive definition A definition...
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eponymous donkey. Cantor–Bernstein–Schröder theorem (also known by other variations, such as Schröder-Bernstein theorem) first proved by Richard Dedekind Cantor...
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History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the...
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pioneered and named The Internet of Things at M.I.T. Sanjeev Arora – PCP theorem Winifred "Tim" Alice Asprey – established the computer science curriculum...
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Tyson E. Lewis, Noah De Lissovoy, Gregory Bourassa, and Derek R. Ford. Curry Malott has developed a Marxist history of education in the U.S., and Marvin...
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that imperative extensions of this calculus satisfy these theorems. Consequences of these theorems are that the equational theory—the symmetric-transitive-reflexive...
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These topics typically culminated in the proof of the generalized Stokes theorem, though, time permitting, other relevant topics (e.g. category theory,...
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