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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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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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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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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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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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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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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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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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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("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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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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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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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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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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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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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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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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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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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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center, releasing gravitational potential energy. According to the virial theorem, half of this released gravitational energy goes into heating, which leads...
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List of pizza varieties by country (redirect from Banana curry pizza)
regular Calzone with ham as well. Another popular pizza in Sweden is banana curry. One of the most popular types of pizza in Sweden since the 1980s is kebab...
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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...
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still in general fall into one of the two categories of error. Okishio's theorem shows that if capitalists use cost-cutting techniques and real wages do...
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2012), "UPDATE: Toronto: Terry Gilliam Confirms Christoph Waltz For Zero Theorem", DeadLine. "Android Cop (2014) - Mark Atkins | Synopsis, Movie Info, Moods...
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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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sacrifice in celebration of discovering Thales' theorem just as Pythagoras had the Pythagorean theorem. Thales is the first known individual to use deductive...
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meaningful sense. For example, DS theory violates the requirements for Cox's theorem, which implies that it cannot be considered a coherent (contradiction-free)...
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comprehension as a theorem. The precise set of axioms can vary, but includes most of the following, with the others provable as theorems: Extensionality:...
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