Rewriting and Well-Definedness within a Proof System
Abstract
Term rewriting has a significant presence in various areas, not least in automated theorem proving where it is used as a proof technique. Many theorem provers employ specialised proof tactics for rewriting. This results in an interleaving between deduction and computation (i.e., rewriting) steps. If the logic of reasoning supports partial functions, it is necessary that rewriting copes with potentially ill-defined terms. In this paper, we provide a basis for integrating rewriting with a deductive proof system that deals with well-definedness. The definitions and theorems presented in this paper are the theoretical foundations for an extensible rewriting-based prover that has been implemented for the set theoretical formalism Event-B.
Cite
@article{arxiv.1012.4897,
title = {Rewriting and Well-Definedness within a Proof System},
author = {Issam Maamria and Michael Butler},
journal= {arXiv preprint arXiv:1012.4897},
year = {2010}
}
Comments
In Proceedings PAR 2010, arXiv:1012.4555