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Theory revision with queries: Horn, readonce, and parity formulas
 Artificial Intelligence
, 2004
"... A theory, in this context, is a Boolean formula; it is used to classify instances, or truth assignments. Theories can model realworld phenomena, and can do so more or less correctly. The theory revision, or concept revision, problem is to correct a given, roughly correct concept. This problem is co ..."
Abstract

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A theory, in this context, is a Boolean formula; it is used to classify instances, or truth assignments. Theories can model realworld phenomena, and can do so more or less correctly. The theory revision, or concept revision, problem is to correct a given, roughly correct concept. This problem is considered here in the model of learning with equivalence and membership queries. A revision algorithm is considered efficient if the number of queries it makes is polynomial in the revision distance between the initial theory and the target theory, and polylogarithmic in the number of variables and the size of the initial theory. The revision distance is the minimal number of syntactic revision operations, such as the deletion or addition of literals, needed to obtain the target theory from the initial theory. Efficient