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Index sets in the arithmetical Hierarchy

✍ Scribed by Ulrike Brandt


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
952 KB
Volume
37
Category
Article
ISSN
0168-0072

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In this paper we show how to construct for every set P of integers in the arithmetical hierarchy a dynamical system H with piecewise-constant derivatives such that deciding membership in P can be reduced to solving the reachability problem between two rational points for H. The ability of such appar