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Fundamentals of Generalized Recursion Theory

Posted on 2010-03-16




Name:Fundamentals of Generalized Recursion Theory
ASIN/ISBN:0444861718
Language:English
File size:10.7 Mb
Publisher: North-Holland
ISBN: 0444861718
Publish Date: edition 1981
File Type: PDF
Pages: 308 pages
File Size: 10,7 mb
   Fundamentals of Generalized Recursion Theory

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We describe, briefly, the contents of the book, and the approach to the material that we have elected to follow. We treat ordinary recursion theory and one of its natural generalizations to arbitrary structures, search computability; and we treat hyperarithmetic theory and one of its abstractions to arbitrary structures, hyperelementary theory. Both are dealt with simultaneously using generalized elementary formal systems, which are simple axiomatic systems of derivation, and which can be thought of as being rules for the generation of a set or relation.

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