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.
https://hal.inria.fr/inria-00099681
Contributeur : Jean Mairesse
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Soumis le : mardi 26 septembre 2006 - 09:40:15
Dernière modification le : jeudi 11 janvier 2018 - 06:17:42
Anne Bouillard, Jean Mairesse. Generating series for the trace group. Developments in Language Theory 2003 (DLT'03), 2003, Szeged, Hungary. Springer, 2710, pp.159-170, 2003, Lecture Notes in Computer Science. 〈inria-00099681〉
