Recursively Inseparable Sets : Computability theory, Recursive set, Gödel's incompleteness theorems

Published by Omniscriptum

ISBN 10: 6139301068 (ISBN 13: 9786139301065)

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nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computability theory, recursively inseparable sets are pairs of sets of natural numbers that cannot be 'separated' with a computable set (Monk 1976, p. 100). These sets arise in the study of computability theory itself, particularly in relation to 01 classes. Recursively inseparable sets also arise in the study of Gödel's incompleteness theorem. The natural numbers are the set = {0, 1, 2, .}. Given subsets A and B of , a separating set C is a subset of such that A C and B C = . For example, if A and B are disjoint then A itself is a separating set for the pair, as is B. If a pair of disjoint sets A and B has no computable separating set, then the two sets are recursively inseparable.

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Bibliographic details

Title
Recursively Inseparable Sets : Computability theory, Recursive set, Gödel's incompleteness theorems
Author
Dagda Tanner Mattheus
Publisher
Omniscriptum
Condition
Neu
Binding
Taschenbuch
Item weight
310 grams
Dimensions
220x150x12 mm

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