Non-primitive Recursive Function Definitions

Forfattere

  • Sten Agerholm

DOI:

https://doi.org/10.7146/brics.v2i36.19939

Resumé

This paper presents an approach to the problem of introducing
non-primitive recursive function definitions in higher order logic. A
recursive specification is translated into a domain theory version, where
the recursive calls are treated as potentially non-terminating. Once we
have proved termination, the original specification can be derived easily.
A collection of algorithms are presented which hide the domain theory
from a user. Hence, the derivation of a domain theory specification
has been automated completely, and for well-founded recursive function
specifications the process of deriving the original specification from the
domain theory one has been automated as well, though a user must
supply a well-founded relation and prove certain termination properties
of the specification. There are constructions for building well-founded
relations easily.

Downloads

Publiceret

1995-06-06

Citation/Eksport

Agerholm, S. (1995). Non-primitive Recursive Function Definitions. BRICS Report Series, 2(36). https://doi.org/10.7146/brics.v2i36.19939

Nummer

Nr. 36 (1995): RS-36 Nonprimitive Recursive Function Definitions

Sektion

Artikler

Licens

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

    1. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

  1. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).