Title
Algebraic Elimination Of Epsilon-Transitions
Abstract
We here describe a method of removing the epsilon-transitions of a weighted automaton. The existence of a solution for this removal depends on the existence of the star of a single matrix which, in turn, is based on the computation of the stars of scalars in the ground semiring. We discuss two aspects of the star problem ( by infinite sums and by equations) and give an algorithm to suppress the epsilon-transitions and preserve the behaviour. Running complexities are computed.
Year
Venue
Keywords
2004
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
automata with multiplicities, epsilon-transitions, behaviour, star of matrices
Field
DocType
Volume
Discrete mathematics,Combinatorics,Algebraic number,Algebra,Matrix (mathematics),Automaton,Mathematics,Semiring
Journal
7
Issue
ISSN
Citations 
1
1365-8050
1
PageRank 
References 
Authors
0.36
7
3
Name
Order
Citations
PageRank
Gérard Duchamp16517.03
Hatem Hadj Kacem24714.43
Éric Laugerotte3122.98