Title
Vicious Circles in Orthogonal Term Rewriting Systems
Abstract
In this paper we first study the difference between Weak Normalization (WN) and Strong Normalization (SN), in the framework of first order orthogonal rewriting systems. With the help of the Erasure Lemma we establish a Pumping Lemma, yielding information about exceptional terms, defined as terms that are WN but not SN. A corollary is that if an orthogonal TRS is WN, there are no cyclic reductions in finite reduction graphs. This is a stepping stone towards the insight that orthogonal TRSs with the property WN, do not admit cyclic reductions at all.
Year
DOI
Venue
2005
10.1016/j.entcs.2004.11.020
Electronic Notes in Theoretical Computer Science (ENTCS)
Keywords
DocType
Volume
functional programming,first order,normalization
Journal
124
Issue
ISSN
Citations 
2
1571-0661
2
PageRank 
References 
Authors
0.48
5
3
Name
Order
Citations
PageRank
Jeroen Ketema116013.52
Jan Willem Klop21498161.90
Vincent van Oostrom350538.41