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Electronic Colloquium on Computational Complexity

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All reports by Author Sebastiaan Terwijn:

TR04-079 | 30th August 2004
John Hitchcock, Jack H. Lutz, Sebastiaan Terwijn

The Arithmetical Complexity of Dimension and Randomness

Constructive dimension and constructive strong dimension are effectivizations of the Hausdorff and packing dimensions, respectively. Each infinite binary sequence A is assigned a dimension dim(A) in [0,1] and a strong dimension Dim(A) in [0,1].

Let DIM^alpha and DIMstr^alpha be the classes of all sequences of dimension alpha and of strong ... more >>>

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