On automating the extraction of programs from termination proofs

We investigate an automated program synthesis system that is based on the paradigm of programming by proofs. To automatically extract a term that computes a recursive function given by a set of equations the system must nd a formal proof of the totality of the given function. Because of the particu...

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Bibliographic Details
Main Authors: Fairouz Kamareddine, François Monin, Mauricio Ayala Rincón
Format: Article
Language:English
Published: Universidad Autónoma de Bucaramanga 2003-12-01
Series:Revista Colombiana de Computación
Online Access:https://revistas.unab.edu.co/index.php/rcc/article/view/1088
Description
Summary:We investigate an automated program synthesis system that is based on the paradigm of programming by proofs. To automatically extract a term that computes a recursive function given by a set of equations the system must nd a formal proof of the totality of the given function. Because of the particular logical framework, usually such approaches make it dicult to use termination techniques such as those in rewriting theory. We overcome this diculty for the automated system that we consider by exploiting product types. As a consequence, this would enable the incorporation of termination techniques used in other areas while still extracting programs. Keywords: Program extraction, product types, termination, ProPre system.
ISSN:1657-2831
2539-2115