Discrete Mathematics & Theoretical Computer Science, Vol 7 (2005)

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DMTCS vol 7 no 1 (2005), pp. 51-70

Discrete Mathematics & Theoretical Computer Science


Volume 7 n° 1 (2005), pp. 51-70

author:Grard Duchamp and Hatem Hadj Kacem and Eric Laugerotte
title:Algebraic elimination of ε-transitions
keywords:Automata with multiplicities, epsilon-transitions, behaviour, star of matrices
abstract:We here describe a method of removing the ε-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 ε-transitions and preserve the behaviour. Running complexities are computed.

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reference: Grard Duchamp and Hatem Hadj Kacem and Eric Laugerotte (2005), Algebraic elimination of ε-transitions, Discrete Mathematics and Theoretical Computer Science 7, pp. 51-70
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Wed May 4 23:12:41 CEST 2005 by falk