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Eager Term Rewriting For The Fracterm Calculus Of Common Meadows

Jan A Bergstra, John Tucker Orcid Logo

The Computer Journal, Volume: 67, Issue: 5, Pages: 1866 - 1871

Swansea University Author: John Tucker Orcid Logo

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DOI (Published version): 10.1093/comjnl/bxad106

Abstract

Eager equality is a novel semantics for equality in the presence of partial operations. We consider term rewriting for eager equality for arithmetic in which division is a partial operator. We use common meadows which are essentially fields that contain an absorptive element ⁠. The idea is that term...

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Published in: The Computer Journal
ISSN: 0010-4620 1460-2067
Published: Oxford University Press (OUP) 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa65232
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Abstract: Eager equality is a novel semantics for equality in the presence of partial operations. We consider term rewriting for eager equality for arithmetic in which division is a partial operator. We use common meadows which are essentially fields that contain an absorptive element ⁠. The idea is that term rewriting is supposed to be semantics preserving for non- terms only. We show soundness and adequacy results for eager term rewriting w.r.t. the class of all common meadows. However, we show that an eager term rewrite system which is complete for common meadows of rational numbers is not easy to obtain, if it exists at all.
College: Faculty of Science and Engineering
Issue: 5
Start Page: 1866
End Page: 1871