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arxiv: math/0607412 · v1 · pith:LGQ5TNQJnew · submitted 2006-07-18 · 🧮 math.CO · cs.DM· cs.SC

Direct and dual laws for automata with multiplicities

classification 🧮 math.CO cs.DMcs.SC
keywords lawsautomatadualmultiplicitiesalmostamultcalledcharacterize
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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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