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Sur les séries associees à certains systèmes de Lindenmayer. (French) Zbl 0456.68084


MSC:

68Q45 Formal languages and automata
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[1] Boë, J.-M., Thèse de 3ème cycle (1976), Université des Sciences et Techniques du Languedoc
[2] Eilenberg, S., Automata, Languages and machines, Vol. A (1974), Academic Press: Academic Press New York · Zbl 0317.94045
[3] Eilenberg, S., Automata, Languages and Machines, Vol. B (1976), Academic Press: Academic Press New York
[4] Fliess, M., Matrices de Hankel, J. Math. Pures Appl., 53, 197-222 (1974) · Zbl 0315.94051
[5] Johansen, P., The generating function of the number of subpatterns of a DOL sequence, Theoret. Comput. Sci., 8, 1, 57-68 (1979) · Zbl 0419.68098
[6] Lindenmayer, A., Mathematical models for cellular interactions in development, J. Theoret. Biol., 18, 280-315 (1968)
[7] Nivat, M., Sur l’irréducibilité de certaines représentations de monoïdes, C.R. Acad. Sci. Paris Sér. A, 261, 2421-2422 (1965) · Zbl 0131.02002
[8] Ochsenschläger, P., Verallgemeinerte Parikh-Abbildungen und DOL Systeme, (Bericht Nr. AFS-33 (1977), Fachbereich Informatik, Technische Hochschule Darmstadt)
[9] Perrin, D., Codes et combinatoire du monoïde libre, (Cours de DEA (1976-77), Université Paris 7, Départment de Mathématiques)
[10] Reutenauer, C., Thèse de 3ème cycle, 6 (1977), Université Paris
[11] Reutenauer, C., Sur les séries rationnelles en variables non commutatives, (Communication au V ICALP, Udine (1978), Springer: Springer Berlin), Lecture Notes in Computer Science (Springer, Berlin)à paraître · Zbl 0471.68066
[12] G. Rozenberg et A. Salomaa, The mathematical theory of \(L\); G. Rozenberg et A. Salomaa, The mathematical theory of \(L\) · Zbl 0365.68072
[13] Ruohonen, K., On the synthesis of DOL growth, Ann. Acad. Sci. Fenn. Ser. A I Math., 143-154 (1975) · Zbl 0326.68054
[14] Salomaa, A.; Soittola, M., Automata-Theoretic Aspects of Formal Power Series (1978), Springer: Springer Berlin · Zbl 0377.68039
[15] Schützenberger, M. P., On the definition of a family of automata, Information and Control, 4, 245-270 (1961) · Zbl 0104.00702
[16] Schützenberger, M. P., Certain elementary families of automata, (Proc. Symposium on Mathematical Theory of Automata (1962), Polytechnic Institute of Brooklyn: Polytechnic Institute of Brooklyn Brooklyn, MA), 139-153 · Zbl 0221.94080
[17] Schützenberger, M. P., Finite counting automata, Information and Control, 5, 91-107 (1962) · Zbl 0118.12506
[18] Schützenberger, M. P., Sur les relations rationnelles entre monoïdes libres, Theoret. Comput. Sci., 3, 243-259 (1976) · Zbl 0358.68129
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