On the computational content of termination proofs

Georg Moser, Thomas Powell

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Given that a program has been shown to terminate using a particular proof, it is natural to ask what we can infer about its complexity. In this paper we outline a new approach to tackling this question in the context of term rewrite systems and recursive path orders. From an inductive proof that recursive path orders are well-founded, we extract an explicit realiser which bounds the derivational complexity of rewrite systems compatible with these orders. We demonstrate that by analysing our realiser we are able to derive, in a completely uniform manner, a number of results on the relationship between the strength of path orders and the bounds they induce on complexity.
Original languageEnglish
Title of host publicationEvolving Computability
Subtitle of host publication11th Conference on Computability in Europe, CiE 2015, Bucharest, Romania, June 29-July 3, 2015. Proceedings
Pages276-285
DOIs
Publication statusPublished - 2015

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume9136
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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