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2002 | OriginalPaper | Buchkapitel

General Size-Change Termination and Lexicographic Descent

verfasst von : Amir M. Ben-Amram

Erschienen in: The Essence of Computation

Verlag: 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.

Metadaten
Titel
General Size-Change Termination and Lexicographic Descent
verfasst von
Amir M. Ben-Amram
Copyright-Jahr
2002
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/3-540-36377-7_1

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