Extending Lambek grammars to basic categorial grammars

Pentus (1992) proves the equivalence of LCG's and CFG's, and CFG's are equivalent to BCG's by the Gaifman theorem (Bar-Hillel et al., 1960). This paper provides a procedure to extend any LCG to an equivalent BCG by affixing new types to the lexicon; a procedure of that kind was proposed as early, as Cohen (1967), but it was deficient (Buszkowski, 1985). We use a modification of Pentus' proof and a new proof of the Gaifman theorem on the basis of the Lambek calculus.
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DOI 10.1007/BF00159342
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References found in this work BETA
Introduction to Higher Order Categorical Logic.J. Lambek & P. J. Scott - 1989 - Journal of Symbolic Logic 54 (3):1113-1114.
The Mathematics of Sentence Structure.Joachim Lambek - 1968 - Journal of Symbolic Logic 33 (4):627-628.
Some Decision Problems in the Theory of Syntactic Categories.Wojciech Buszkowski - 1982 - Mathematical Logic Quarterly 28 (33‐38):539-548.

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Citations of this work BETA
On the Logic of Β -Pregroups.Aleksandra Kiślak-Malinowska - 2007 - Studia Logica 87 (2-3):323 - 342.
On the Logic of Β-Pregroups.Kiślak-Malinowska Aleksandra - 2007 - Studia Logica 87 (2-3):323-342.

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