Geodesic
Polynomial languages with finite antidictionaries
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 2, pp. 269-279

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We tackle the problem of studying which kind of functions can occur as complexity functions of formal languages of a certain type. We prove that an important narrow subclass of rational languages contains languages of polynomial complexity of any integer degree over any non-trivial alphabet.

DOI : 10.1051/ita:2008028
Classification : 68Q45, 68R15
Keywords: regular language, finite antidictionary, combinatorial complexity, wed-like automaton 
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     author = {Shur, Arseny M.},
     title = {Polynomial languages with finite antidictionaries},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {269--279},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {2},
     year = {2009},
     doi = {10.1051/ita:2008028},
     mrnumber = {2512259},
     zbl = {1166.68026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2008028/}
}
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Shur, Arseny M. Polynomial languages with finite antidictionaries. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 2, pp. 269-279. doi: 10.1051/ita:2008028

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