On the power of probabilistic strategies in inductive inference

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Abstract

Inductive inference of programs of recursive functions from input/output examples by probabilistic strategies with an a priori bound n ε{lunate} N of changes of hypotheses is investigated. Advantages of probabilistic strategies over deterministic ones are shown concerning their power in principle (for every n ≥ 2, with probability arbitrarily close to 1, inference of function classes which cannot be inferred by any deterministic strategy with n changes of hypotheses), as well as their computational complexity (linear speed-up of the number of changes of hypotheses necessary for inference by deterministic strategies). © 1984.

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Wiehagen, R., Freivalds, R., & Kinber, E. B. (1983). On the power of probabilistic strategies in inductive inference. Theoretical Computer Science, 28(1–2), 111–133. https://doi.org/10.1016/0304-3975(83)90067-1

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