By Jürgen Albert, German Tischler (auth.), Symeon Bozapalidis, George Rahonis (eds.)
This e-book constitutes the refereed court cases of the second one overseas convention on Algebraic Informatics, CAI 2007, held in Thessaloniki, Greece, in could 2007.
The 10 revised complete papers offered including 9 invited papers have been conscientiously reviewed and chosen from 29 submissions. The papers hide issues corresponding to algebraic semantics on graphs and bushes, formal energy sequence, syntactic gadgets, algebraic photo processing, limitless computation, acceptors and transducers for strings, timber, graphs, arrays, etc., and choice problems.
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Extra resources for Algebraic Informatics: Second International Conference, CAI 2007, Thessaloniki, Greece, May 21-25, 2007, Revised Selected and Invited Papers
In particular, it is shown in this paper that if w is an aperiodic inﬁnite word, then n 16 cw n + . pw (n) < n 4 Thus in particular if cw (n) = O(n) then w has bounded palindromic complexity. This holds for Sturmian and episturmian words, for automatic words, and for words that are ﬁxed points of primitive morphisms. For uniformly recurrent 26 J. Berstel words, there is a more precise formula given in . They prove that, provided the set of factors F (w) is closed under reversal, pw (n) + pw (n + 1) ≤ 2 + cw (n + 1) − cw (n) .
Comput. Sci. 136(2), 361–385 (1994) 37. : Palindromic factors of billiard words. Theoret. Comput. Sci. 340(2), 334–348 (2005) 38. : Combinatorial properties of Sturmian palindromes. Internat. J. Found. Comput. Sci. 17(3), 557–573 (2006) 39. : Codes of central Sturmian words. Theoret. Comput. Sci. 340(2), 220–239 (2005) 40. : Sturmian words, Lyndon words and trees. Theoret. Comput. Sci. 178(1-2), 171–203 (1997) 41. : On an involution of Christoﬀel words and Sturmian morphisms. In: European J. Combinatorics (in press, 2007) 42.
All episturmian Lexicographic Ordering Every (total) order on an alphabet A deﬁnes a lexicographic order on (right) inﬁnite words. Given an inﬁnite word x, we denote by min(x) and by max(x) the minimal and the maximal word, for the lexicographic order, of the orbit of x. This is simply deﬁned by the condition that, for each integer n, the preﬁx of length n of min(x) (of max(x)) is the smallest (largest) word in Fn (x). For Sturmian words, it is easily seen that sα,ρ < sα,ρ if and only if ρ < ρ (recall that α is irrational).