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Non-primitive Recursive Function Definitions

BRICS Report Series

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Title Non-primitive Recursive Function Definitions
 
Creator Agerholm, Sten
 
Description This paper presents an approach to the problem of introducingnon-primitive recursive function definitions in higher order logic. Arecursive specification is translated into a domain theory version, wherethe recursive calls are treated as potentially non-terminating. Once wehave proved termination, the original specification can be derived easily.A collection of algorithms are presented which hide the domain theoryfrom a user. Hence, the derivation of a domain theory specificationhas been automated completely, and for well-founded recursive functionspecifications the process of deriving the original specification from thedomain theory one has been automated as well, though a user mustsupply a well-founded relation and prove certain termination propertiesof the specification. There are constructions for building well-foundedrelations easily.
 
Publisher Aarhus University
 
Contributor
 
Date 1995-06-06
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/19939
10.7146/brics.v2i36.19939
 
Source BRICS Report Series; No 36 (1995): RS-36 Nonprimitive Recursive Function Definitions
BRICS Report Series; No 36 (1995): RS-36 Nonprimitive Recursive Function Definitions
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/19939/17592
 
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