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oaioai:HAL:hal-01578555v2

Syzygies among reduction operators

Authors
Publication date
1 January 2019
Publisher
'Elsevier BV'
Doi

    Abstract

    International audienceWe introduce the notion of syzygy for a set of reduction operators and relate it to the notion of syzygy for presentations of algebras. We give a method for constructing a linear basis of the space of syzygies for a set of reduction operators. We interpret these syzygies in terms of the confluence property from rewriting theory. This enables us to optimise the completion procedure for reduction operators based on a criterion for detecting useless reductions. We illustrate this criterion with an example of construction of commutative Gröbner basis

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    HAL Descartes

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    oaioai:HAL:hal-01578555v2
    Last time updated on 14/04/2021

    This paper was published in HAL Descartes.

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