3 papers
math.CO2006
Direct and dual laws for automata with multiplicities
Gérard Duchamp, Marianne Flouret, Eric Laugerotte +1
We present here theoretical results coming from the implementation of the package called AMULT (automata with multiplicities in several noncommutative variables). We show that clas…
math.CO2006
Extending the scalars of minimizations
Gérard Duchamp, Eric Laugerotte, Jean-Gabriel Luque
In the classical theory of formal languages, finite state automata allow to recognize the words of a rational subset of where is a set of symbols (or the alphabet). Now,…
cs.SC2004
An unexpected application of minimization theory to module decompositions
Gerard Duchamp, Hatem Hadj Kacem, Eric Laugerotte
The aim of this work is to show how we can decompose a module (if decomposable) into an indecomposable module with the help of the minimization process.