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Topic: Kleenes recursion theorem


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In the News (Wed 15 Feb 12)

  
  NationMaster.com - Encyclopedia: Stephen Cole Kleene
Kleene was best known for founding the branch of mathematical logic known as recursion theory together with Alonzo Church, Kurt Gödel, Alan Turing and others; and for inventing regular expressions.
Kleenes recursion theorem is a result in computability theory first proved by Stephen Kleene; it allows to construct programs, Turing machines and recursive functions that refer back to their own description.
Kleene's standing in mathematical logic is reflected in the proverb "Kleeneliness is next to Gödeliness" among logicians (a pun on "Cleanliness is next to godliness").
www.nationmaster.com /encyclopedia/Stephen-Cole-Kleene   (2003 words)

  
 Recursively enumerable set: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-11-06)
If A and B are recursively enumerable sets then A ∩ B and A ∪ B are recursively enumerable sets, Exception Handler: No article summary found.
every recursive set[follow this hyperlink for a summary of this topic] is recursively enumerable.
Kleene's recursion theorem (Kleenes recursion theorem is a result in computability theory first proved by stephen kleene; it allows to construct...)
www.absoluteastronomy.com /ref/recursively_enumerable_set   (1089 words)

  
 [No title]   (Site not responding. Last check: 2007-11-06)
Separability is the key notion used in the B\"ohm theorem, proving that syntactically different $\beta$-normal forms are separable in the classical $\lambda$-calculus endowed with $\beta$-reduction, i.e.
An explicit representation of Kleenes recursive functions is presented.
The Approximation Theorem is the bridge between an inductive syntactic representation of a canonical denotational model for the terms of lambdaL, and the computational behavior of lambdaL.
www.di.unito.it /~lambda/biblio/bibliography.bib   (2872 words)

  
 Stephen Cole Kleene   (Site not responding. Last check: 2007-11-06)
Kleene's standing in mathematical logic is reflected in the proverb "'''Kleene'''liness is next to Gödeliness" among logicians.
He received his bachelor of arts degree from Amherst College in 1930.
He was an instructor of navigation at the U.S. Naval Reserve's Midshipmen's School in New York, and then a project director at the Naval Research Laboratory in Washington, D.C. In 1946, he returned to Wisconsin, becoming a full professor in 1948.
stephen-cole-kleene.clonewars.ipupdater.com   (451 words)

  
 recursion - OneLook Dictionary Search
Recursion : Butterfly Glossary (networking terminology) [home, info]
Recursion : Drug Discovery and Development [home, info]
Phrases that include recursion: tail recursion, general recursion theorem, kleenes recursion theorem, recursion theorem, recursion theory, more...
www.onelook.com /?w=recursion&loc=dym   (250 words)

  
 Post's theorem: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-11-06)
if and only if is a recursively enumerable set[for more facts and a summary of this subject, click this link] with an oracle of some set or, Exception Handler: No article summary found.
The second result says that the Turing jumps form complete sets of the (complete for means that every other set in is Turing reducible from).
Recursively enumerable set[follow this hyperlink for a summary of this topic]
www.absoluteastronomy.com /ref/posts_theorem   (678 words)

  
 Computer Science Department - Lamar University   (Site not responding. Last check: 2007-11-06)
The department believes that the study of the foundations of computer science is exciting to students because it gives them confidence that they are on firm intellectual ground and it enables them to have truly innovative insights.
The fundamental and philosophical difference between learning theory and symbolic computation is that while symbolic computation is based on an exact deductive system, the learning process is largely based on inductive reasoning, where we try to inductively infer a general law from empirical data without total justification.
The study of higher-typed computation, also known as higher-ordered computation, has its origins in Stephen C. Kleenes works in the 1950s and early 1960s.
cs.lamar.edu /Mission/vision.htm   (2025 words)

  
 Bookpool: Computability and Complexity from a Programming Perspective
13.4 Kleenes Normal Form Theorem for the WHILE Language
14.2 Recursion by Syntax: Kleene's and Rogers' Recursion Theorems
14.3.3 Relation to the Fixpoint Theorems for I
www.bookpool.com /.x/pbx84hrb8i/sm/0262100649   (868 words)

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