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Complexity theoretic properties of recursively enumerable sets
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The article was published on 1974-01-01 and is currently open access. It has received 7 citations till now. The article focuses on the topics: Recursively enumerable language & Recursively enumerable set.read more
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Computational complexity, speedable and levelable sets
TL;DR: In this article, the authors give an information theoretic characterization of speedable and levelable sets in terms of index sets resembling the jump operator, and derive numerous consequences about the degrees and structure of speedably and levelably sets.
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On Subcreative Sets and S-Reducibility
John Gill,Paul Morris +1 more
TL;DR: Subcreative sets are shown to be the complete sets with respect to S-reducibility, a special case of Turing reducibility, which means a set is effectively speedable exactly when it contains the solution to the halting problem in an easily decodable form.
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Some lowness properties and computational complexity sequences
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On speedable and levelable vector spaces
TL;DR: This paper studies the lattice of r.e. subspaces of a recursively presented vector space V∞ with regard to the various complexity-theoretic speed-up properties such as speedable, effectivelySpeedable, levelable, and effectively levelable introduced by Blum and Marques and shows for example that if A or V is speedable (effectively speedable), then V is levelable (Effectively levelable).