Open Access
2019 Teachers, Learners, and Oracles
Achilles Beros, Colin de la Higuera
Notre Dame J. Formal Logic 60(1): 13-26 (2019). DOI: 10.1215/00294527-2018-0021

Abstract

We exhibit a family of computably enumerable sets which can be learned within polynomial resource bounds given access only to a teacher but which requires exponential resources to be learned given access only to a membership oracle. In general, we compare the families that can be learned with and without teachers and oracles for four measures of efficient learning.

Citation

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Achilles Beros. Colin de la Higuera. "Teachers, Learners, and Oracles." Notre Dame J. Formal Logic 60 (1) 13 - 26, 2019. https://doi.org/10.1215/00294527-2018-0021

Information

Received: 2 May 2015; Accepted: 3 November 2016; Published: 2019
First available in Project Euclid: 16 January 2019

zbMATH: 07060306
MathSciNet: MR3911104
Digital Object Identifier: 10.1215/00294527-2018-0021

Subjects:
Primary: 03D80
Secondary: 68T05

Keywords: Learning theory , oracles , recursion theory , teachers

Rights: Copyright © 2019 University of Notre Dame

Vol.60 • No. 1 • 2019
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