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Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Komplexität und Kryptografie

Oracles in NP(NP) are sufficient for exact learning

Johannes Köbler and Wolfgang Lindner

Abstract:

We study the learnability of representation classes in Angluin's exact learning model. In particular, we consider the following three query types: equivalence queries, equivalence and membership queries, and membership queries only. We show in all three cases that polynomial query complexity implies already polynomial-time learnability, provided that the learner additionally has access to an oracle in NP(NP)$. It follows that boolean circuits are polynomial-time learnable with equivalence queries and the help of an oracle in NP(NP).

Ps-File: Oracles in NP(NP) are Sufficient for Exact Learning