See lambda calculus on Wiktionary
{ "etymology_text": "Coined by Alonzo Church after the use of the Greek letter lambda (λ) as the basic abstraction operator in the calculus.", "forms": [ { "form": "lambda calculi", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~", "2": "lambda calculi" }, "expansion": "lambda calculus (countable and uncountable, plural lambda calculi)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Catalan translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Greek translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Italian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Japanese translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Macedonian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Romanian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Serbo-Croatian translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Theory of computing", "orig": "en:Theory of computing", "parents": [ "Computer science", "Computing", "Sciences", "Technology", "All topics", "Fundamental" ], "source": "w" } ], "derived": [ { "word": "simply typed lambda calculus" }, { "word": "typed lambda calculus" } ], "examples": [ { "ref": "2009 February 3, John C. Baez with Mike Stay, “Physics, Topology, Logic and Computation: A Rosetta Stone”, in (Please provide the book title or journal name), page 50:", "text": "In the 1930s, while Turing was developing what are now called ‘Turing machines’ as a model for computation, Church and his student Kleene were developing a different model, called the ‘lambda calculus’ [29, 63]. While a Turing machine can be seen as an idealized, simplified model of computer hardware, the lambda calculus is more like a simple model of software.", "type": "quote" } ], "glosses": [ "Any of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions." ], "id": "en-lambda_calculus-en-noun-5fhjLs3e", "links": [ [ "computing", "computing#Noun" ], [ "theory", "theory" ], [ "functionally complete", "functionally complete" ], [ "lambda expression", "lambda expression" ] ], "meronyms": [ { "word": "alpha conversion" }, { "word": "beta reduction" }, { "word": "eta conversion" }, { "word": "lambda term" } ], "raw_glosses": [ "(computing theory) Any of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions." ], "related": [ { "word": "calculus" }, { "word": "lambda" }, { "word": "lambda abstraction" }, { "word": "lambda expression" }, { "word": "combinator" }, { "word": "functionally complete" }, { "word": "recursive function" }, { "word": "Turing machine" } ], "tags": [ "countable", "uncountable" ], "topics": [ "computing", "computing-theory", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "algebraic system", "tags": [ "masculine" ], "word": "càlcul lambda" }, { "code": "cs", "lang": "Czech", "sense": "algebraic system", "tags": [ "masculine" ], "word": "lambda kalkul" }, { "code": "fi", "lang": "Finnish", "sense": "algebraic system", "word": "lambdakalkyyli" }, { "code": "el", "lang": "Greek", "roman": "logismós lámda", "sense": "algebraic system", "tags": [ "masculine" ], "word": "λογισμός λάμδα" }, { "code": "is", "lang": "Icelandic", "sense": "algebraic system", "tags": [ "masculine" ], "word": "lambda-reikningur" }, { "code": "it", "lang": "Italian", "sense": "algebraic system", "tags": [ "masculine" ], "word": "calcolo lambda" }, { "code": "ja", "lang": "Japanese", "sense": "algebraic system", "word": "λ計算" }, { "code": "ja", "lang": "Japanese", "roman": "ramuda keisan", "sense": "algebraic system", "word": "ラムダ計算" }, { "code": "mk", "lang": "Macedonian", "roman": "lambda-presmetka", "sense": "algebraic system", "tags": [ "feminine" ], "word": "ламбда-пресметка" }, { "code": "pl", "lang": "Polish", "sense": "algebraic system", "tags": [ "masculine" ], "word": "rachunek lambda" }, { "code": "ro", "lang": "Romanian", "sense": "algebraic system", "tags": [ "neuter" ], "word": "calcul lambda" }, { "code": "ru", "lang": "Russian", "roman": "ljambda-isčislenije", "sense": "algebraic system", "tags": [ "neuter" ], "word": "лямбда-исчисление" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "algebraic system", "tags": [ "masculine" ], "word": "lambda račun" }, { "code": "sv", "lang": "Swedish", "sense": "algebraic system", "tags": [ "common-gender" ], "word": "lambdakalkyl" } ], "wikipedia": [ "Alonzo Church", "lambda calculus" ] } ], "word": "lambda calculus" }
{ "derived": [ { "word": "simply typed lambda calculus" }, { "word": "typed lambda calculus" } ], "etymology_text": "Coined by Alonzo Church after the use of the Greek letter lambda (λ) as the basic abstraction operator in the calculus.", "forms": [ { "form": "lambda calculi", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~", "2": "lambda calculi" }, "expansion": "lambda calculus (countable and uncountable, plural lambda calculi)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "meronyms": [ { "word": "alpha conversion" }, { "word": "beta reduction" }, { "word": "eta conversion" }, { "word": "lambda term" } ], "pos": "noun", "related": [ { "word": "calculus" }, { "word": "lambda" }, { "word": "lambda abstraction" }, { "word": "lambda expression" }, { "word": "combinator" }, { "word": "functionally complete" }, { "word": "recursive function" }, { "word": "Turing machine" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with quotations", "English uncountable nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Catalan translations", "Terms with Czech translations", "Terms with Finnish translations", "Terms with Greek translations", "Terms with Icelandic translations", "Terms with Italian translations", "Terms with Japanese translations", "Terms with Macedonian translations", "Terms with Polish translations", "Terms with Romanian translations", "Terms with Russian translations", "Terms with Serbo-Croatian translations", "Terms with Swedish translations", "en:Theory of computing" ], "examples": [ { "ref": "2009 February 3, John C. Baez with Mike Stay, “Physics, Topology, Logic and Computation: A Rosetta Stone”, in (Please provide the book title or journal name), page 50:", "text": "In the 1930s, while Turing was developing what are now called ‘Turing machines’ as a model for computation, Church and his student Kleene were developing a different model, called the ‘lambda calculus’ [29, 63]. While a Turing machine can be seen as an idealized, simplified model of computer hardware, the lambda calculus is more like a simple model of software.", "type": "quote" } ], "glosses": [ "Any of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions." ], "links": [ [ "computing", "computing#Noun" ], [ "theory", "theory" ], [ "functionally complete", "functionally complete" ], [ "lambda expression", "lambda expression" ] ], "raw_glosses": [ "(computing theory) Any of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions." ], "tags": [ "countable", "uncountable" ], "topics": [ "computing", "computing-theory", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "Alonzo Church", "lambda calculus" ] } ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "algebraic system", "tags": [ "masculine" ], "word": "càlcul lambda" }, { "code": "cs", "lang": "Czech", "sense": "algebraic system", "tags": [ "masculine" ], "word": "lambda kalkul" }, { "code": "fi", "lang": "Finnish", "sense": "algebraic system", "word": "lambdakalkyyli" }, { "code": "el", "lang": "Greek", "roman": "logismós lámda", "sense": "algebraic system", "tags": [ "masculine" ], "word": "λογισμός λάμδα" }, { "code": "is", "lang": "Icelandic", "sense": "algebraic system", "tags": [ "masculine" ], "word": "lambda-reikningur" }, { "code": "it", "lang": "Italian", "sense": "algebraic system", "tags": [ "masculine" ], "word": "calcolo lambda" }, { "code": "ja", "lang": "Japanese", "sense": "algebraic system", "word": "λ計算" }, { "code": "ja", "lang": "Japanese", "roman": "ramuda keisan", "sense": "algebraic system", "word": "ラムダ計算" }, { "code": "mk", "lang": "Macedonian", "roman": "lambda-presmetka", "sense": "algebraic system", "tags": [ "feminine" ], "word": "ламбда-пресметка" }, { "code": "pl", "lang": "Polish", "sense": "algebraic system", "tags": [ "masculine" ], "word": "rachunek lambda" }, { "code": "ro", "lang": "Romanian", "sense": "algebraic system", "tags": [ "neuter" ], "word": "calcul lambda" }, { "code": "ru", "lang": "Russian", "roman": "ljambda-isčislenije", "sense": "algebraic system", "tags": [ "neuter" ], "word": "лямбда-исчисление" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "algebraic system", "tags": [ "masculine" ], "word": "lambda račun" }, { "code": "sv", "lang": "Swedish", "sense": "algebraic system", "tags": [ "common-gender" ], "word": "lambdakalkyl" } ], "word": "lambda calculus" }
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