By Julien Cassaigne (auth.), Juhani Karhumäki, Arto Lepistö, Luca Zamboni (eds.)

ISBN-10: 3642405789

ISBN-13: 9783642405785

ISBN-10: 3642405797

ISBN-13: 9783642405792

This e-book constitutes the refereed lawsuits of the ninth foreign convention on Combinatorics on phrases, phrases 2013, held in Turku, Finland, in September 2013 below the auspices of the EATCS. The 20 revised complete papers provided have been rigorously reviewed and chosen from forty three preliminary submissions. The relevant subject of the convention is combinatorics on phrases (i.e. the research of finite and countless series of symbols) from various issues of view, together with their combinatorial, algebraic and algorithmic elements, in addition to their applications.

**Read or Download Combinatorics on Words: 9th International Conference, WORDS 2013, Turku, Finland, September 16-20. Proceedings PDF**

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**Extra resources for Combinatorics on Words: 9th International Conference, WORDS 2013, Turku, Finland, September 16-20. Proceedings**

**Example text**

Sci. 410(38-40), 3782–3791 (2009) 19. : DFA minimization: from Brzozowski to Hopcroft. Technical report, Universidad Polit´ecnica de Valencia. net/10251/27623 20. : An n log n algorithm for mimimizing the states in a ﬁnite automaton. In: Theory of Machines and Computations (Proc. Internat. Sympos. Technion, Haifa, 1971), pp. 189–196. Academic Press, New York (1971) Words, Trees and Automata Minimization 33 21. : Minimization of automata. 5318 (2010) 22. : Suﬃx automata and standard sturmian words.

Lepistö, and L. ): WORDS 2013, LNCS 8079, pp. 46–57, 2013. c Springer-Verlag Berlin Heidelberg 2013 Inﬁnite Words with Well Distributed Occurrences 47 We have proved ﬁrst that Sturmian words have well distributed occurrences, and then we have shown this property for Arnoux-Rauzy words. The proof for Sturmian words is based on diﬀerent ideas than the one for Arnoux-Rauzy words, therefore we will provide in the sequel both of them. In the next section, we deal with pseudorandom number generation, thus establishing the motivation for our work.

While L = ∅ do 7. choose and delete any (S, a) from L 8. for all B ∈ Π do 9. if B is split by (S, a) then 10. B ← δa−1 (S) ∩ B 11. B ← B \ δa−1 (S) 12. Π ← Π \ {B} ∪ {B , B } 13. for all b ∈ Σ do 14. L ← L ∪ {(δa−1 (S), b)} Fig. 5. Minimization by Partial Reverse Determinization Here we describe the minimization algorithm (see Fig. 5) for deterministic ﬁnite state automata given in [19], that is a variant of Brzozowski’s algorithm but with time complexity bounded by O(kn2 ), where k = |Σ| and n = |Q|.

### Combinatorics on Words: 9th International Conference, WORDS 2013, Turku, Finland, September 16-20. Proceedings by Julien Cassaigne (auth.), Juhani Karhumäki, Arto Lepistö, Luca Zamboni (eds.)

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