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Generating series for the trace group

Abstract : We prove an analog for trace groups of the Möbius inversion formula for trace monoids (Cartier-Foata, 1969). A by-product is to obtain an explicit and combinatorial formula for the growth series of a trace group. This is used to study the average height of traces.
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https://hal.inria.fr/inria-00099681
Contributor : Jean Mairesse <>
Submitted on : Tuesday, September 26, 2006 - 9:40:15 AM
Last modification on : Saturday, March 28, 2020 - 2:17:48 AM

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  • HAL Id : inria-00099681, version 1

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Anne Bouillard, Jean Mairesse. Generating series for the trace group. Developments in Language Theory 2003 (DLT'03), 2003, Szeged, Hungary. pp.159-170. ⟨inria-00099681⟩

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