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By Andreas Maletti

This booklet constitutes the refereed complaints of the sixth overseas convention on Algebraic Informatics, CAI 2015, held in Stuttgart, Germany, in September 2015.

The 15 revised complete papers awarded have been conscientiously reviewed and chosen from 25 submissions. The papers hide subject matters corresponding to info types and coding concept; primary features of cryptography and safeguard; algebraic and stochastic versions of computing; good judgment and application modelling.

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Extra resources for Algebraic Informatics: 6th International Conference, CAI 2015, Stuttgart, Germany, September 1-4, 2015. Proceedings

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Fig. 1. The configuration s from Section 5 when α is the golden ratio is shown on the left. On the right the configuration is skewed such that the three directions (0, 1), (1, 0) and (1, −1) became symmetrical, the bottom left corner is preserved. For any Laurent polynomials f1 , . . , fn ∈ C[X ±1 ], we let f1 , . . , fn = {g1 f1 + · · · + gn fn | g1 , . . , gn ∈ C[X ±1 ]} An Algebraic Geometric Approach to Multidimensional Words 37 be the Laurent polynomial ideal they generate. Note that in this notation we let all involved polynomials be Laurent so that this is not a polynomial ideal.

The complexity of functions on lattices. Theor. Comput. Sci. : The rectangle complexity of functions on twodimensional lattices. Theor. Comput. Sci. : Algorithms to tile the infnite grid with finite clusters. In: FOCS, pp. 137–147. at In this lecture we will report on generalizations of some classical results on formal languages. These generalizations are achieved by an algebraic treatment using semirings, formal power series, fixed point theory and matrices. By the use of these mathematical constructs, definitions, constructions, and proofs are obtained that are very satisfactory from a mathematical point of view.

112–119. IEEE Computer Society Press, Los Alamitos (1998) 10. : Satisfiability of equations in free groups is in PSPACE. In: Proceedings 32nd Annual ACM Symposium on Theory of Computing, STOC 2000, pp. 21–27. ACM Press (2000) 11. : Recompression: a simple and powerful technique for word equations. , Wilke, T. ) STACS. LIPIcs, vol. 20, pp. 233–244. Schloss DagstuhlLeibniz-Zentrum f¨ ur Informatik. To appear in JACM, Dagstuhl, Germany (2013) 28 V. Diekert 12. : Efficient randomized pattern-matching algorithms.

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