Syzygies among reduction operators

08/29/2017
by   Cyrille Chenavier, et al.
0

We 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.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset