Download Algebraic Informatics: Second International Conference, CAI by Jürgen Albert, German Tischler (auth.), Symeon Bozapalidis, PDF

By Jürgen Albert, German Tischler (auth.), Symeon Bozapalidis, George Rahonis (eds.)

This ebook constitutes the refereed complaints of the second one foreign convention on Algebraic Informatics, CAI 2007, held in Thessaloniki, Greece, in may possibly 2007.

The 10 revised complete papers awarded including 9 invited papers have been conscientiously reviewed and chosen from 29 submissions. The papers conceal subject matters akin to algebraic semantics on graphs and bushes, formal energy sequence, syntactic items, algebraic photo processing, countless computation, acceptors and transducers for strings, bushes, graphs, arrays, etc., and determination 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

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Comput. Sci. 82(1), 71–84 (1991) 49. : A geometric proof of the enumeration formula for Sturmian words. Internat. J. Algebra Comput. 3(3), 349–355 (1993) Sturmian and Episturmian Words 47 50. : Random generation of finite Sturmian words. In: Proceedings of the 5th Conference on Formal Power Series and Algebraic Combinatorics (Florence, 1993), vol. 153, pp. 29–39 (1996) 51. : On the number of digital straight line segments. IEEE Trans. Pattern Anal. Mach. Intell. 10(6), 880–887 (1988) 52. : The number of digital straight lines on an n × n grid.

On the bounds for the number of -balanced words. Technical report, Mech. & Math. Department, Moscow State University (2007) 55. : On the number of Arnoux-Rauzy words. Boolean Calculus of Differences 101(2), 121–129 (2002) 56. : A characterization of balanced episturmian sequences. Electronic J. Combinatorics 14(1) R33, pages 12 (2007) 57. : Characterizations of finite and infinite episturmian words via lexicographic orderings. European Journal of Combinatorics (2007) 58. : Morse and Hedlund’s skew Sturmian words revisited.

This evaluation, denoted by val A , is defined recursively, as one would expect: val A (t) = f (val A (t1 ), . . , val A (tk )) for every tree t = f[t1 , . . , tk ] ∈ TΣ . Note that the definition of TΣ makes sure that val A (t) is well defined. In the following, we may write val (t) if A is understood. Especially in examples, we shall frequently work with algebras over unsorted signatures, which is an S-sorted signature such that S is a singleton {A}. In this case, the notation f : Ak → A may be abbreviated as f(k) .

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