Necessary and sufficient conditions for learning with correction queries

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Abstract

We investigate the newly introduced model of learning with correction queries in the context of query learning. We present necessary and sufficient conditions for a class of languages to be inferable within this setting. We also offer a complete picture of how is the model of learning with corrections related with other well-established learning models, like the model of learning in the limit from positive data, or the one of learning with membership queries. As an application, we show that the class of k-reversible languages is learnable with correction queries.

Keywords

Correction query
Query learning
Gold-style learning

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This is an extended version of the paper “A Characterization of the Language Classes Learnable with Correction Queries” presented at the 4th Annual Conference on Theory and Applications of Models of Computation (TAMC 2007). It was supported in part by the FPU Fellowship AP2004-6968 from the Spanish Ministry of Education and Science.