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Minimal forbidden subwords
Authors:Tatjana Petkovi?  Miroslav ?iri?
Affiliation:a Academy of Finland and Department of Information Technology, University of Turku, FIN-20014 Turku, Finland
b Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Yugoslavia
c Faculty of Economics, University of Niš, P.O. Box 121, 18000 Niš, Yugoslavia
Abstract:Motivated by a study of similar problems stated for factors of words, we study forbidden subwords of a language or a word. A procedure for obtaining the set of all words avoiding a given set of subwords is presented. On the other hand, an algorithm for computing the set of minimal forbidden subwords for a word is given. The case of a two-letter alphabet appears to be particularly interesting and it is considered separately.
Keywords:Subwords  Automata  Formal languages  Combinatorics on words  Orders of words
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