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Parikh test sets for commutative languages. (English) Zbl 1149.68068

Summary: A set \(T\subseteq L\) 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.

MSC:

68R15 Combinatorics on words
68Q45 Formal languages and automata
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References:

[1] Ismo Hakala and Juha Kortelainen, Polynomial size test sets for commutative languages. RAIRO-Theor. Inf. Appl.31 (1997) 291-304. Zbl0889.68091 · Zbl 0889.68091
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[3] Michel Latteux, Rational cones and commutations. In Machines, languages, and complexity (Smolenice, 1988). Lect. Notes Comput. Sci.381 (1989) 37-54. Zbl0703.68012 · Zbl 0703.68012
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