Axiomatic Sharing-via-Labelling
Thibaut Balabonski · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) · 2012
A judicious use of labelled terms makes it possible to bring together the simplicity of term rewriting and the sharing power of graph rewriting: this has been known for twenty years in the particular case of orthogonal first-order systems. The present paper introduces a concise and easily usable axiomatic presentation of sharing-via-labelling techniques that applies to higher-order term rewriting as well as to non-orthogonal term rewriting. This provides a general framework for the sharing of subterms and keeps the formalism as simple as term rewriting.