Five Basic Concepts of Axiomatic Rewriting Theory

September 27, 2016 · The Ethereal · 🏛 arXiv.org

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Authors Paul-André Melliès arXiv ID 1609.09783 Category cs.LO: Logic in CS Cross-listed cs.PL, math.CT, math.LO Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
In this invited talk, I will review five basic concepts of Axiomatic Rewriting Theory, an axiomatic and diagrammatic theory of rewriting started 25 years ago in a LICS paper with Georges Gonthier and Jean-Jacques Lévy, and developed along the subsequent years into a full-fledged 2-dimensional theory of causality and residuation in rewriting. I will give a contemporary view on the theory, informed by my later work on categorical semantics and higher-dimensional algebra, and also indicate a number of current research directions in the field.
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