Corrigendum to our paper: How expressions can code for automata. (English) Zbl 1216.68148

Lombardy, Sylvain; Sakarovitch, Jacques

RAIRO, Theor. Inform. Appl. 44, No. 3, 339-361 (2010).

Summary: In a previous paper [Theor. Inform. Appl. 39, No. 1, 217–237 (2005; Zbl 1102.68070)], 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.

MSC:

68Q45	Formal languages and automata
68Q70	Algebraic theory of languages and automata

Keywords:

finite automata; regular expression; derivation of expressions; quotient of automata

Citations:

Zbl 1102.68070

References:

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