Combinatorics on Words: 10th International Conference, WORDS by Florin Manea, Dirk Nowotka

By Florin Manea, Dirk Nowotka

This publication constitutes the refereed court cases of the tenth overseas convention on Combinatorics on phrases, phrases 2015, held in Kiel, Germany, in September 2015 lower than the auspices of the EATCS.

The 14 revised complete papers offered have been rigorously reviewed and chosen from 22 submissions. the most item within the contributions are phrases, finite or limitless sequences of symbols over a finite alphabet. The papers replicate either theoretical contributions relating to combinatorial, algebraic, and algorithmic features of phrases, in addition to to contributions providing functions of the idea of phrases in different box of computing device technological know-how, linguistics, biology, bioinformatics, or physics.

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Extra info for Combinatorics on Words: 10th International Conference, WORDS 2015, Kiel, Germany, September 14-17, 2015, Proceedings

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1007/978-3-319-23660-5 4 36 2 D. Perrin Neutral and Tree Sets Let A be a finite alphabet. We denote by A∗ the set of all words on A. We denote by ε or 1 the empty word. A set of words on the alphabet A and containing A is said to be factorial if it contains the factors of its elements. An internal factor of a word x is a word v such that x = uvw with u, w nonempty. 1 Neutral Sets Let S be a factorial set on the alphabet A. For w ∈ S, we denote LS (w) = {a ∈ A | aw ∈ S}, RS (w) = {a ∈ A | wa ∈ S}, ES (w) = {(a, b) ∈ A × A | awb ∈ S}, and further S (w) = Card(LS (w)), rS (w) = Card(RS (w)), eS (w) = Card(ES (w)).

Math. Logic 36(4–5), 233–253 (1997) 14. : Undecidable extensions of monadic second order successor arithmetic. Math. Logic Q. 17(1), 385–394 (1971) 15. : Recursively enumerable sets and degrees. Bull. Am. Math. Soc. 84(6), 1149–1181 (1978) 16. : On degrees of recursive unsolvability. Ann. Math. de Abstract. , strings that are represented succinctly by so called straight-line programs. 1 Introduction The investigation of the computational complexity of algorithmic problems for succinct data started with the work of Galperin and Wigderson [10].

The study of the ratio p(n)/n brings also noticeable informations on infinite words. In WORDS 1999, Alex Heinis shows that if p(n)/n has a limit, then it is either equal to 1, or highter than and equal to 2. By using the Rauzy graphs, in WORDS 2001, Ali Aberkane will present characterizations of the words such that the limit is 1. - An words is balanced if for any pairs (u, v), of factors with same length, and for any letter a, we have ||u|a − |v|a | ≤ 1 (where |u|a stands for the number of occurrences of the letter a in u).

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