Confluence via strong normalisation in an algebraic λ-calculus with rewriting

The linear-algebraic lambda-calculus and the algebraic lambda-calculus are untyped lambda-calculi extended with arbitrary linear combinations of terms. The former presents the axioms of linear algebra in the form of a rewrite system, while the latter uses equalities. When given by rewrites, algebrai...

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Bibliographic Details
Main Authors: Pablo Buiras, Alejandro Díaz-Caro, Mauro Jaskelioff
Format: Article
Language:English
Published: Open Publishing Association 2012-03-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1102.0749v3