Algorithmic Randomness and Capacity of Closed Sets

We investigate the connection between measure, capacity and algorithmic randomness for the space of closed sets. For any computable measure m, a computable capacity T may be defined by letting T(Q) be the measure of the family of closed sets K which have nonempty intersection with Q. We prove an eff...

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Bibliographic Details
Main Authors: Douglas Cenzer, Paul Brodhead, Ferit Toska, Sebastian Wyman
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2011-09-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1020/pdf