منابع مشابه
Towards 3-Dimensional Rewriting Theory
String rewriting systems have proved very useful to study monoids. In good cases, they give finite presentations of monoids, allowing computations on those and their manipulation by a computer. Even better, when the presentation is confluent and terminating, they provide one with a notion of canonical representative of the elements of the presented monoid. Polygraphs are a higher-dimensional ge...
متن کاملTowards Higher-dimensional Rewriting Theory
String rewriting systems have proved very useful to study monoids. In good cases, they give finite presentations of the monoids, allowing their manipulation by a computer. Even better, when the presentation is confluent and terminating, they provide one with a notion of canonical representative of the elements of the presented monoid. Polygraphs are a higher-dimensional generalization of this n...
متن کاملTermination orders for 3-dimensional rewriting
This paper studies 3-polygraphs as a framework for rewriting on two-dimensional words. A translation of term rewriting systems into 3-polygraphs with explicit resource management is given, and the respective computational properties of each system are studied. Finally, a convergent 3-polygraph for the (commutative) theory of Z/2Z-vector spaces is given. In order to prove these results, it is ex...
متن کاملTowards Rewriting in Coq
Equational reasoning in Coq is not straightforward. For a few years now there has been an ongoing research process towards adding rewriting to Coq. However, there are many research problems on this way. In this paper we give a coherent view of rewriting in Coq, we describe what is already done and what remains to be done. We discuss such issues as strong normalization, confluence, logical consi...
متن کاملType theory and rewriting
The 19th of March 1998 was an important date for at least two reasons. The first one was personal. The second one was that Jean-Pierre Jouannaud agreed to supervise my master thesis on " extending the Calculus of Constructions with a new version of the General Schema " which he had roughed out with Mitsuhiro Okada. This did not mean much to me then. However, I was very happy with the idea of st...
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ژورنال
عنوان ژورنال: Logical Methods in Computer Science
سال: 2014
ISSN: 1860-5974
DOI: 10.2168/lmcs-10(2:1)2014