Titlebook: Algorithms: Main Ideas and Applications; Vladimir Uspensky,Alexei Semenov Book 1993 Springer Science+Business Media B.V. 1993 Notation.alg

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Kosmologie: Der Kosmos als Ganzesany given calculus. (To be more exact we should speak not about representative but about .-representative models. Assume that . is an aggregate; a generating model is called . if for any calculus generating a subset of . there exists a calculus of this model generating the same subset.) The notion o

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Der Mond. Mond- und Sonnenfinsternisse between the notions of decidability and generability. Namely there is a calculus such that there is no algorithm to decide whether an arbitrary element of . can be generated by this calculus. On the other hand, from the practical point of view it is remarkable that all decision problems (i.e. probl

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https://doi.org/10.1007/978-3-658-36665-0p. 1.2 and chap. 1.4) exist and can in their turn be considered as objects for algorithmic transformations or generation. This discovery was made by Turing in [Tu 36]. In this chapter we discuss the notions of a “programming system” (or a “method of programming”) and a “program” arising in this conn

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Aufbau und Dynamik des Milchstraßensystemshe set of all pairs 〈., .〉 such that .(.) = .. On the other hand, (3) for any calculus there is an algorithm whose domain is a set generated by this calculus; and (4) any calculus generating a set of pairs 〈., .〉 being the graph of a function can be transformed into an algorithm computing this function.