A3PAT, an Approach for Certified Automated Termination Proofs - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2010

A3PAT, an Approach for Certified Automated Termination Proofs

Abstract

Software engineering, automated reasoning, rule-based programming or specifications often use rewriting systems for which termination, among other properties, may have to be ensured. This paper presents the approach developed in Project A3PAT to discover and moreover certify, with full automation, termination proofs for term rewriting systems. It consists of two developments: the Coccinelle library formalises numerous rewriting techniques and termination criteria for the Coq proof assistant; the CiME3 rewriting tool translates termination proofs (discovered by itself or other tools) into traces that are certified by Coq assisted by Coccinelle. The abstraction level of our formalisation allowed us to weaken premises of some theorems known in the literature, thus yielding new termination criteria, such as an extension of the powerful subterm criterion (for which we propose the first full Coq formalisation). Techniques employed in CiME3 also improve on previous works on formalisation and analysis of dependency graphs.
Fichier principal
Vignette du fichier
pepm10-contejean.pdf (202.9 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00535655 , version 1 (12-11-2010)

Identifiers

Cite

Evelyne Contejean, Pierre Courtieu, Julien Forest, Andrei Paskevich, Olivier Pons, et al.. A3PAT, an Approach for Certified Automated Termination Proofs. 2010 ACM SIGPLAN Workshop on Partial Evaluation and Program Manipulation, ACM, Jan 2010, Madrid, Spain. pp.63-72, ⟨10.1145/1706356.1706370⟩. ⟨inria-00535655⟩
211 View
299 Download

Altmetric

Share

Gmail Facebook X LinkedIn More