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Corrigendum to our paper: How Expressions Can Code for Automata

Published online by Cambridge University Press:  28 July 2010

Sylvain Lombardy
Affiliation:
IGM-LabInfo (UMR 8049), Université Paris-Est Marne-la-Vallée, 77454 Marne-la-Vallée Cedex 2, France; lombardy@univ-mlv.fr.
Jacques Sakarovitch
Affiliation:
LTCI (UMR 5141), CNRS/Télécom ParisTech, 46 rue Barrault, 75634 Paris Cedex 13, France; sakarovitch@enst.fr.
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Abstract

In a previous paper, we have described the construction of an automaton from a rational expression which has the property that the automaton built from an expression which is itself computed from a co-deterministic automaton by the state elimination method is co-deterministic. It turned out that the definition on which the construction is based was inappropriate, and thus the proof of the property was flawed. We give here the correct definition of the broken derived terms of an expression which allow to define the automaton and the detailed full proof of the property.

Type
Research Article
Copyright
© EDP Sciences, 2010

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References

P.-Y. Angrand, S. Lombardy and J. Sakarovitch, On the number of broken derived terms of a rational expression. J. Automata, Languages and Combinatorics, to appear.
Antimirov, V., Partial derivatives of regular expressions and finite automaton constructions. Theoret. Computer Sci. 155 (1996) 291319. CrossRef
Brzozowski, J.A., Derivatives of regular expressions. J. Assoc. Comput. Mach. 11 (1964) 481494. CrossRef
Caron, P. and Flouret, M., Glushkov construction for series: the non commutative case. Int. J. Comput. Math. 80 (2003) 457472. CrossRef
S. Eilenberg, Automata, Languages, and Machines. A, Academic Press (1974).
Glushkov, V., The abstract theory of automata. Russ. Math. Surv. 16 (1961) 153. CrossRef
Lombardy, S. and Sakarovitch, J., Derivatives of rational expressions with multiplicity. Theoret. Computer Sci. 332 (2005) 141177. (Journal version of Proc. MFCS 02, LNCS 2420 (2002) 471–482.) CrossRef
Lombardy, S. and Sakarovitch, J., How expressions can code for automata. RAIRO – Inform. theor. appl. 39 (2005) 217237 (Journal version Proc. LATIN, LNCS 2976 (2004) 242–251.) CrossRef
J. Sakarovitch, Éléments de théorie des automates. Vuibert (2003), Corrected English edition: Elements of Automata Theory . Cambridge University Press (2009).