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Parikh test sets for commutative languages

Published online by Cambridge University Press:  03 June 2008

Štěpán Holub*
Affiliation:
Charles University, Faculty of Mathematics and Physics, Department of Algebra, Sokolovská 83, 175 86 Praha, Czech Republic; holub@karlin.mff.cuni.cz
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Abstract

A set T ⊆ L is a Parikh test set of L if c(T) is a test set of c(L). We give a characterization of Parikh test sets for arbitrary language in terms of its Parikh basis, and the coincidence graph of letters.

Type
Research Article
Copyright
© EDP Sciences, 2008

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References

Ismo Hakala and Juha Kortelainen, Polynomial, size test sets for commutative languages. RAIRO-Theor. Inf. Appl. 31 (1997) 291304.
Štěpán Holub and Juha Kortelainen, Linear, size test sets for certain commutative languages. RAIRO-Theor. Inf. Appl. 35 (2001) 453475.
Michel, Latteux, Rational cones and commutations. In Machines, languages, and complexity (Smolenice, 1988). Lect. Notes Comput. Sci. 381 (1989) 3754.