Title
SC-hyperdecidability of R
Abstract
A class TC(X) of X -graphs is introduced, and an algorithmic property of labellings of finite strongly connected graphs by rational languages is shown to be decidable. This property, named as TC-inevitability, is a language theoretic analogue of the R -inevitability of labellings of finite strongly connected graphs by finite monoids. As a consequence, the pseudovariety R of all finite R -trivial monoids is shown to be hyperdecidable relative to the class of labellings of finite strongly connected graphs by finite monoids. Strong decidability of the dual pseudovariety L follows as a corollary and a few applications to decidability results are provided.
Year
DOI
Venue
2001
10.1016/S0304-3975(99)00329-1
Theor. Comput. Sci.
Keywords
DocType
Volume
R-trivial,Pseudovariety,Graph labelling,Monoid,Hyperdecidability,20M07,20M35
Journal
255
Issue
ISSN
Citations 
1-2
Theoretical Computer Science
1
PageRank 
References 
Authors
0.38
2
2
Name
Order
Citations
PageRank
J. Almeida16115.24
Pedro V. Silva214129.42