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Une remarque sur les systèmes complets d’identités rationnelles. (A note on complete systems of rational identities). (French) Zbl 0701.68059

Summary: Completeness questions of Conway and Salomaa are linked by means of a very simple deductive rule.

MSC:

68Q45 Formal languages and automata
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References:

[1] J. BERSTEL et C. REUTENAUER, Les séries rationnelles et leurs langages, Collection E.R.I., Masson, Paris, 1984. Zbl0573.68037 MR745968 · Zbl 0573.68037
[2] J. H. CONWAY, Regular Algebra and Finite Machines, Chapman & Hall, 1971. Zbl0231.94041 · Zbl 0231.94041
[3] D. KROB, Expressions K-rationnelles, Thèse d’Université, Université Paris-VII, 1988 (Rapport L.I.T.P. 88-23).
[4] A. SALOMAA, Two Complete Axiom Systems for the Algebra of Regular Events, J.A.C.M., vol. 13, 1966, p. 158-169. Zbl0149.24902 MR189995 · Zbl 0149.24902 · doi:10.1145/321312.321326
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