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We apply a complexity theoretic notion of feasible learnability called "polynomial learnability" to the evaluation of grammatical formalisms for linguistic description. We show that a novel, nontrivial constraint on the degree of "locality" of grammars allows not only context free languages but also a rich class of mildy context sensitive languages to be polynomially learnable. We discuss possible implications of this result to the theory of natural language acquisition.

Polynomial learnability and locality of formal grammars