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2002 | OriginalPaper | Chapter

General Size-Change Termination and Lexicographic Descent

Author : Amir M. Ben-Amram

Published in: The Essence of Computation

Publisher: Springer Berlin Heidelberg

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Size-change termination (SCT) is a general criterion to identify recursive function definitions that are guaranteed to terminate. It extends and subsumes the simpler criterion of lexicographic descent in function calls, which in classical recursion theory is known as multiple recursion. Neil Jones has conjectured that the class of functions computable by size-change terminating programs coincides with the multiply-recursive functions. This paper proves so.

Metadata
Title
General Size-Change Termination and Lexicographic Descent
Author
Amir M. Ben-Amram
Copyright Year
2002
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/3-540-36377-7_1