License:
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2021.24
URN: urn:nbn:de:0030-drops-142620
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14262/
van Oostrom, Vincent
Z; Syntax-Free Developments
Abstract
We present the Z-property and instantiate it to various rewrite systems: associativity, positive braids, self-distributivity, the lambda-calculus, lambda-calculi with explicit substitutions, orthogonal TRSs, .... The Z-property is proven equivalent to Takahashi’s angle property by means of a syntax-free notion of development. We show that several classical consequences of having developments such as confluence, normalisation, and recurrence, can be regained in a syntax-free way, and investigate how the notion corresponds to the classical syntactic notion of development in term rewriting.
BibTeX - Entry
@InProceedings{vanoostrom:LIPIcs.FSCD.2021.24,
author = {van Oostrom, Vincent},
title = {{Z; Syntax-Free Developments}},
booktitle = {6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021)},
pages = {24:1--24:22},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-191-7},
ISSN = {1868-8969},
year = {2021},
volume = {195},
editor = {Kobayashi, Naoki},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14262},
URN = {urn:nbn:de:0030-drops-142620},
doi = {10.4230/LIPIcs.FSCD.2021.24},
annote = {Keywords: rewrite system, confluence, normalisation, recurrence}
}
Keywords: |
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rewrite system, confluence, normalisation, recurrence |
Collection: |
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6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021) |
Issue Date: |
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2021 |
Date of publication: |
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06.07.2021 |