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Direct and dual laws for automata with multiplicities

Gérard Duchamp·Marianne Flouret·Eric Laugerotte·Jean-Gabriel Luque
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Abstract

We present here theoretical results coming from the implementation of the package called AMULT (automata with multiplicities in several noncommutative variables). We show that classical formulas are ``almost every time'' optimal, characterize the dual laws preserving rationality and also relators that are compatible with these laws.

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Gérard Duchamp, Marianne Flouret, Eric Laugerotte, Jean-Gabriel Luque. 2006-07-18. Direct and dual laws for automata with multiplicities. https://arxiv.org/abs/math/0607412

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