Gaifman's theorem on categorial grammars revisited

Studia Logica 47 (1):23 - 33 (1988)
The equivalence of (classical) categorial grammars and context-free grammars, proved by Gaifman [4], is a very basic result of the theory of formal grammars (an essentially equivalent result is known as the Greibach normal form theorem [1], [14]). We analyse the contents of Gaifman's theorem within the framework of structure and type transformations. We give a new proof of this theorem which relies on the algebra of phrase structures and exhibit a possibility to justify the key construction used in Gaifman's proof by means of the Lambek calculus of syntactic types [15].
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DOI 10.1007/BF00374049
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References found in this work BETA
M. J. Cresswell (1977). Categorial Languages. Studia Logica 36 (4):257 - 269.

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Citations of this work BETA
Wojciech Buszkowski (1996). Extending Lambek Grammars to Basic Categorial Grammars. Journal of Logic, Language and Information 5 (3-4):279-295.

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