Anagram & Information om | Engelska ordet KLEENE

Exempel på hur man kan använda KLEENE i en mening

• 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 on sets of symbols or characters.
• The concept of regular expressions began in the 1950s, when the American mathematician Stephen Cole Kleene formalized the concept of a regular language.
• The equivalence of regular expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene).
• One of the students of Alonzo Church, Kleene, along with Rózsa Péter, Alan Turing, Emil Post, and others, is best known as a founder of the branch of mathematical logic known as recursion theory, which subsequently helped to provide the foundations of theoretical computer science.
• Various inequivalent definitions of Kleene algebras and related structures have been given in the literature.
• Other prominent figures in the field include Bertrand Russell, Thoralf Skolem, Emil Post, Alonzo Church, Alan Turing, Stephen Kleene, Willard Quine, Paul Benacerraf, Hilary Putnam, Gregory Chaitin, Alfred Tarski, Paul Cohen and Kurt Gödel.
• In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy (after mathematicians Stephen Cole Kleene and Andrzej Mostowski) classifies certain sets based on the complexity of formulas that define them.
• Brouwer, Arend Heyting and Andrey Kolmogorov (see Brouwer–Heyting–Kolmogorov interpretation) and Stephen Kleene (see Realizability).
• Kleene, 1952, Introduction to Metamathematics, 6th reprinting with corrections 1971, North-Holland Publishing Company, Amsterdam NY,.
• Languages in P are also closed under reversal, intersection, union, concatenation, Kleene closure, inverse homomorphism, and complementation.
• The class NL is closed under the operations complementation, union, and therefore intersection, concatenation, and Kleene star.
• Moreover, Kleene Fixed-Point Theorem can be extended to monotone functions using transfinite iterations.
• The formalization of computability theory by Kleene led to a particular universal partial computable function Ψ(e, x) defined using the T predicate.
• Residuated semilattices omit the meet operation ∧, for example Kleene algebras and action algebras.
• Probably the first formal treatment of logic for computability is the realizability interpretation by Stephen Kleene in 1945, who gave an interpretation of intuitionistic number theory in terms of Turing machine computations.
• The family of conjunctive languages is closed under union, intersection, concatenation and Kleene star, but not under string homomorphism, prefix, suffix, and substring.
• Recursively enumerable languages are closed under Kleene star, concatenation, union, and intersection, but not under set difference; see Recursively enumerable language#Closure properties.
• In theoretical computer science and formal language theory, a regular language is said to be star-free if it can be described by a regular expression constructed from the letters of the alphabet, the empty word, the empty set symbol, all boolean operators – including complementation – and concatenation but no Kleene star.
• Kleene algebras: a semiring with idempotent addition and a unary operation, the Kleene star, satisfying additional properties.
• A third characterization of the hyperarithmetical sets, due to Kleene, uses higher-type computable functionals.

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