Title
On Term Rewriting Systems Having a Rational Derivation
Abstract
Several types of term rewriting systems can be distinguished by the way their rules overlap. In particular, we define the classes of prefix, suffix, bottom-up and top-down systems, which generalize similar classes on words. Our aim is to study the derivation relation of such systems (i.e. the reflexive and transitive closure of their rewriting relation) and, if possible, to provide a finite mechanism characterizing it. Using a notion of rational relations based on finite graph grammars, we show that the derivation of any bottom-up, top-down or suffix systems is rational, while it can be non recursive for prefix systems.
Year
DOI
Venue
2007
10.1007/978-3-540-24727-2_27
LECTURE NOTES IN COMPUTER SCIENCE
Keywords
DocType
Volume
bottom up,top down,transitive closure
Journal
2987
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
8
2
Name
Order
Citations
PageRank
Antoine Meyer1794.69
Rennes Liafa200.34