• Thumbnail for Stephen Cole Kleene
    Stephen Cole Kleene (/ˈkleɪni/ KLAY-nee; January 5, 1909 – January 25, 1994) was an American mathematician. One of the students of Alonzo Church, Kleene...
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  • expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene). In the Chomsky hierarchy, regular languages...
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  • In mathematics, a Kleene algebra (/ˈkleɪni/ KLAY-nee; named after Stephen Cole Kleene) is an idempotent (and thus partially ordered) semiring endowed...
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  • Thumbnail for Regular expression
    expressions began in the 1950s, when the American mathematician Stephen Cole Kleene formalized the concept of a regular language. They came into common...
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  • Thumbnail for Arithmetical hierarchy
    arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy (after mathematicians Stephen Cole Kleene and Andrzej Mostowski) classifies certain...
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  • Thumbnail for Kleene fixed-point theorem
    lattice theory, the Kleene fixed-point theorem, named after American mathematician Stephen Cole Kleene, states the following: Kleene Fixed-Point Theorem...
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  • true or false, but in many cases we don't know which. Similarly, Stephen Cole Kleene used a third value to represent predicates that are "undecidable...
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  • computability theory, the T predicate, first studied by mathematician Stephen Cole Kleene, is a particular set of triples of natural numbers that is used to...
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  • In mathematical logic and computer science, the Kleene star (or Kleene operator or Kleene closure) is a unary operation, either on sets of strings or...
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  • the steps in a proof are mechanical, some being intuitive". Later, Stephen Cole Kleene brought forth a more rational consideration of intuitionism in his...
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  • Gentzen (1934, 1935). Stephen Cole Kleene (1945) proved that Heyting arithmetic has the disjunction property and the existence property. Kleene's method introduced...
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  • set, the Kleene–Brouwer order is itself a well-ordering if and only if the tree has no infinite branch. It is named after Stephen Cole Kleene, Luitzen...
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  • Boone, Martin Davis, Alfred L. Foster, Leon Henkin, John G. Kemeny, Stephen C. Kleene, Simon B. Kochen, Maurice L'Abbé, Gary R. Mar, Michael O. Rabin, Nicholas...
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  • Thumbnail for Natural number
    George A. Wentworth, Bertrand Russell, Nicolas Bourbaki, Paul Halmos, Stephen Cole Kleene, and John Horton Conway have preferred to include 0. Mathematicians...
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  • computable functions) (Soare 1987, Rogers 1967). It was first proved by Stephen Cole Kleene (1943). The name S m n  comes from the occurrence of an S with subscript...
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  • Thumbnail for Skolem's paradox
    logicians did not view Skolem's paradox a fatal flaw in set theory. Stephen Cole Kleene described the result as "not a paradox in the sense of outright contradiction...
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  • Thumbnail for Programming language theory
    themselves. The lambda calculus, developed by Alonzo Church and Stephen Cole Kleene in the 1930s, is considered by some to be the world's first programming...
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  • named after Stephen Cole Kleene, who did pioneering work in the field of logic as related to computer science. Past recipients of the Kleene award are tabulated...
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  • The three-valued logic K3, due to Stephen Cole Kleene. Kleene connectives Logical connectives defined using Kleene's three-valued logic, which includes...
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  • ISBN 9783540440857. Kleene, Stephen Cole.(1952), Introduction to Metamathematics. New York: Van Nostrand. (Ishi Press: 2009 reprint). Kleene, Stephen Cole. (1967)...
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  • facing English translation, preceded by an introductory note by Stephen Cole Kleene. —, 1951, "Some basic theorems on the foundations of mathematics...
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  • Thumbnail for Logic
    propositions to be either true or false. For instance, Jan Łukasiewicz and Stephen Cole Kleene both proposed ternary logics which have a third truth value representing...
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  • Thumbnail for Automata theory
    Stephen Cole Kleene. With the publication of this volume, "automata theory emerged as a relatively autonomous discipline". The book included Kleene's...
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  • validity or provability), are Kurt Gödel’s dialectica interpretation, Stephen Cole Kleene’s realizability, Yurii Medvedev’s logic of finite problems, or Giorgi...
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  • Thumbnail for List of National Medal of Science laureates
    Karlin, Saunders Mac Lane, Donald C. Spencer 1990—George F. Carrier, Stephen Cole Kleene, John McCarthy 1991—Alberto Calderón 1992—Allen Newell 1993—Martin...
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  • function#Equality predicate, and Primitive recursive function#Multiplication Stephen Cole Kleene (Jan 1943). "Recursive predicates and quantifiers" (PDF). Transactions...
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  • Levenberg proposes a method for nonlinear least squares fitting. 1945 – Stephen Cole Kleene introduces realizability. 1945 – Saunders Mac Lane and Samuel Eilenberg...
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  • Swiss-American sculptor, painter, and photographer (d. 1995) 1909 – Stephen Cole Kleene, American mathematician and computer scientist (d. 1994) 1910 – Jack...
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  • Thumbnail for Metamathematics
    Hofstadter, 1980. Gödel, Escher, Bach. Vintage Books. Aimed at laypeople. Stephen Cole Kleene, 1952. Introduction to Metamathematics. North Holland. Aimed at mathematicians...
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  • Takeuti (called ordinal diagrams), Oswald Veblen. Stephen Cole Kleene has a system of notations, called Kleene's O, which includes ordinal notations but it is...
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