Separation of words by positions of subwords
Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 1, pp. 3-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present lower bounds on complexity of separation of words by positions of subwords. In the case of subwords of length 1, we show that the bound is exact up to a constant factor. Applications to the problem of separation of words by automata are considered. Bibliogr. 6.
Keywords: subword, separation of words, automaton.
Mots-clés : cyclotomic polynomial
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M. N. Vyalyi; R. A. Gimadeev. Separation of words by positions of subwords. Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/DA_2014_21_1_a0/

[1] Leontev V. K., Khoshmand Asl M. R., “Kharakterizatsiya binarnykh slov podslovami”, Diskret. analiz i issled. operatsii. Ser. 1, 13:1 (2006), 65–76 | MR | Zbl

[2] Chandrasekkharan K., Vvedenie v analiticheskuyu teoriyu chisel., Mir, M., 1974, 188 pp. | MR

[3] Demaine E. D., Eisenstat S., Shallit J., Wilson D. A., “Remarks on separating words”, Descriptional complexity of formal systems, Lect. Notes Comput. Sci., 6808, 2011, 147–157 | DOI | MR | Zbl

[4] Karhumaki J., Puzynina S., Saarela A., “Fine and Wilf's theorem for $k$-Abelian periods”, Developments in language theory, Lect. Notes Comput. Sci., 7410, 2012, 296–307 | DOI | MR | Zbl

[5] Robson J. M., “Separating strings with small automata”, Inf. Process. Lett., 30 (1989), 209–214 | DOI | MR | Zbl

[6] Robson J. M., “Separating words with machines and groups”, Inform. Théor. Appl., 30 (1996), 81–86 | MR | Zbl