Parikh test sets for commutative languages
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 525-537.

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.

DOI : 10.1051/ita:2008011
Classification : 68R15
Mots-clés : combinatorics on words, test sets, commutative languages 
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     author = {Holub, \v{S}t\v{e}p\'an},
     title = {Parikh test sets for commutative languages},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {525--537},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {3},
     year = {2008},
     doi = {10.1051/ita:2008011},
     mrnumber = {2434033},
     zbl = {1149.68068},
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     url = {http://www.numdam.org/articles/10.1051/ita:2008011/}
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Holub, Štěpán. Parikh test sets for commutative languages. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 525-537. doi : 10.1051/ita:2008011. http://www.numdam.org/articles/10.1051/ita:2008011/

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[2] Štěpán Holub and Juha Kortelainen, Linear size test sets for certain commutative languages. RAIRO-Theor. Inf. Appl. 35 (2001) 453-475. | Numdam | MR | Zbl

[3] Michel Latteux, Rational cones and commutations. In Machines, languages, and complexity (Smolenice, 1988). Lect. Notes Comput. Sci. 381 (1989) 37-54. | MR

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