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A domain model characterising strong normalisation

Ulrich Berger Orcid Logo

Annals of Pure and Applied Logic, Volume: 156, Issue: 1, Pages: 39 - 50

Swansea University Author: Ulrich Berger Orcid Logo

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DOI (Published version): 10.1016/j.apal.2008.06.005

Abstract

Building on previous work by Coquand and Spiwack we construct a strict domain-theoretic model for the untyped lambda-calculus with pattern matching and term rewriting which has the property that a term is strongly normalising if its value is not bottom. There are no disjointness or confluence condit...

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Published in: Annals of Pure and Applied Logic
ISSN: 0168-0072
Published: 2008
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URI: https://cronfa.swan.ac.uk/Record/cronfa128
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spelling 2015-10-14T15:41:25.6862278 v2 128 2012-02-23 A domain model characterising strong normalisation 61199ae25042a5e629c5398c4a40a4f5 0000-0002-7677-3582 Ulrich Berger Ulrich Berger true false 2012-02-23 SCS Building on previous work by Coquand and Spiwack we construct a strict domain-theoretic model for the untyped lambda-calculus with pattern matching and term rewriting which has the property that a term is strongly normalising if its value is not bottom. There are no disjointness or confluence conditions imposed on the rewrite rules, and under a mild but necessary condition completeness of the method is proven. As an application, we prove strong normalisation for barrecursion in higher types combined with polymorphism and non-deterministic choice. Journal Article Annals of Pure and Applied Logic 156 1 39 50 0168-0072 lambda-calculus, term rewriting, normalisation, domain theory 26 7 2008 2008-07-26 10.1016/j.apal.2008.06.005 COLLEGE NANME Computer Science COLLEGE CODE SCS Swansea University 2015-10-14T15:41:25.6862278 2012-02-23T17:01:55.0000000 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Ulrich Berger 0000-0002-7677-3582 1
title A domain model characterising strong normalisation
spellingShingle A domain model characterising strong normalisation
Ulrich Berger
title_short A domain model characterising strong normalisation
title_full A domain model characterising strong normalisation
title_fullStr A domain model characterising strong normalisation
title_full_unstemmed A domain model characterising strong normalisation
title_sort A domain model characterising strong normalisation
author_id_str_mv 61199ae25042a5e629c5398c4a40a4f5
author_id_fullname_str_mv 61199ae25042a5e629c5398c4a40a4f5_***_Ulrich Berger
author Ulrich Berger
author2 Ulrich Berger
format Journal article
container_title Annals of Pure and Applied Logic
container_volume 156
container_issue 1
container_start_page 39
publishDate 2008
institution Swansea University
issn 0168-0072
doi_str_mv 10.1016/j.apal.2008.06.005
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
document_store_str 0
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description Building on previous work by Coquand and Spiwack we construct a strict domain-theoretic model for the untyped lambda-calculus with pattern matching and term rewriting which has the property that a term is strongly normalising if its value is not bottom. There are no disjointness or confluence conditions imposed on the rewrite rules, and under a mild but necessary condition completeness of the method is proven. As an application, we prove strong normalisation for barrecursion in higher types combined with polymorphism and non-deterministic choice.
published_date 2008-07-26T03:02:53Z
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score 11.035634

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