Computer Science – Theory and Applications: 5th by Susanne Albers (auth.), Farid Ablayev, Ernst W. Mayr (eds.)

By Susanne Albers (auth.), Farid Ablayev, Ernst W. Mayr (eds.)

This booklet constitutes the complaints of the fifth foreign desktop technology Symposium in Russia, CSR 2010, held in Kazan, Russia, in June 2010. The 30 papers offered have been conscientiously reviewed and chosen from sixty two submissions. The scope of subject matters of the symposium was once really large and lined essentially all parts of the rules of theoretical desktop technological know-how.

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Experiments show that Eppstein’s greedy algorithm [2] behaves rather well on average and approximates minsynch (A) within a logarithmic factor on all tested instances; however, no theoretical justification for these observations has been found so far. In this paper we prove that, unless P = NP, no polynomial-time algorithm can approximate the minimum length of synchronizing words for a given synchronizing automaton within a constant factor. This result was announced in the survey [10] (with a reference to the present author’s unpublished manuscript) but its proof appears here for the first time.

Another pattern called re-usability pattern, has been suggested by Abrial, Cansell and Méry [2] and applied to the development of voting systems [6]. In previous works [4], we have already analysed cryptographic protocols and the use of Event B without proposing a genera technique for composing mechanisms. Clearly, a growing activity on modelling patterns has started and is addressing many kinds of case studies and domains of problems. No classification is yet given and there is no real repository of patterns validated for a specific modelling language based on proof-based transformations.

CSR 2010, LNCS 6072, pp. 37–47, 2010. V. Berlinkov There are some polynomial-time algorithms that, given a synchronizing automaton, find synchronizing words for it, see [2,7]. Such algorithms can be considered as approximation algorithms for calculating the minimum length of synchronizing words but it seems that they have not been systematically studied from the approximation viewpoint. Experiments show that Eppstein’s greedy algorithm [2] behaves rather well on average and approximates minsynch (A) within a logarithmic factor on all tested instances; however, no theoretical justification for these observations has been found so far.

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