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Measure, category and learning theory

1995

Measure and category (or rather, their recursion theoretical counterparts) have been used in Theoretical Computer Science to make precise the intuitive notion “for most of the recursive sets.” We use the notions of effective measure and category to discuss the relative sizes of inferrible sets, and their complements. We find that inferrible sets become large rather quickly in the standard hierarchies of learnability. On the other hand, the complements of the learnable sets are all large.

Preference learningRecursionTheoretical computer scienceLearnabilitySample exclusion dimensionComputer scienceConcept learningAlgorithmic learning theoryMeasure (mathematics)Recursive tree
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