About: Computation in the limit

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In computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in the limit, limit recursive and recursively approximable are also used. One can think of limit computable functions as those admitting an eventually correct computable guessing procedure at their true value. A set is limit computable just when its characteristic function is limit computable. If the sequence is uniformly computable relative to D, then the function is limit computable in D.

Attributes	Values
rdf:type	stream
rdfs:label	Computation in the limit (en)
rdfs:comment	In computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in the limit, limit recursive and recursively approximable are also used. One can think of limit computable functions as those admitting an eventually correct computable guessing procedure at their true value. A set is limit computable just when its characteristic function is limit computable. If the sequence is uniformly computable relative to D, then the function is limit computable in D. (en)
sameAs	Computation in the limit
Subject	Computability theory Theory of computation
gold:hypernym	Limit
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Computation_in_the_limit?oldid=1022779492&ns=0
Wikipage page ID	3086963 (xsd:integer)
page length (characters) of wiki page	6051 (xsd:nonNegativeInteger)
Wikipage revision ID	1022779492 (xsd:integer)
Link from a Wikipage to another Wikipage	Turing jump Turing reduction Modulus of convergence Computability theory Theory of computation Post's theorem Chaitin's constant List of first-order theories Computability Computability theory Computable function Computable number Computable set Partial function Specker sequence Indicator function Halting problem History of numbers Rational number Real number
has abstract	In computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in the limit, limit recursive and recursively approximable are also used. One can think of limit computable functions as those admitting an eventually correct computable guessing procedure at their true value. A set is limit computable just when its characteristic function is limit computable. If the sequence is uniformly computable relative to D, then the function is limit computable in D. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Computation_in_the_limit
is Wikipage redirect of	Limit-computable Limit lemma Limit recursive Limiting recursive Computability in the limit
is Link from a Wikipage to another Wikipage of	Chaitin's constant Computability logic Computability theory Limit (mathematics) Limit-computable Limit lemma Limit recursive Limiting recursive Computability in the limit
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Computation_in_the_limit

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