On translating Lambek grammars with one division into context-free grammars


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Abstract

We describe a method of translating a Lambek grammar with one division into an equivalent context-free grammar whose size is bounded by a polynomial in the size of the original grammar. Earlier constructions by Buszkowski and Pentus lead to exponential growth of the grammar size.

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S. L. Kuznetsov

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: sk@mi.ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991

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