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- W105652649 abstract "The question about the position of categorial grammars in the Chomsky hierarchy arose in late 1950s and early 1960s. In 1960 Bar-Hillel, Gaifman, and Shamir [1] proved that a formal language can be generated by some basic categorial grammar if and only if the language is context-free. They conjectured (see also [7]) that the same holds for Lambek grammars, i. e., for categorial grammars based on a syntactic calculus introduced in 1958 by J. Lambek [10] (this calculus operates with three connectives: multiplication or concatenation of languages, left division, and right division). The proof of one half of this conjecture (namely, that every context-free language can be generated by some Lambek grammar) in fact coincides with the proof" @default.
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- W105652649 date "1999-05-04" @default.
- W105652649 modified "2023-09-27" @default.
- W105652649 title "Lambek calculus and formal grammars" @default.
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- W105652649 doi "https://doi.org/10.1090/trans2/192/02" @default.
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