Residuation, structural rules and context freeness

The article presents proofs of the context freeness of a family of typelogical grammars, namely all grammars that are based on a uni- ormultimodal logic of pure residuation, possibly enriched with thestructural rules of Permutation and Expansion for binary modes.
Keywords categorial grammar  generative capacity  mathematical linguistics  multimodal type logical grammar
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DOI 10.1023/A:1026175817625
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Sean A. Fulop (2005). Semantic Bootstrapping of Type-Logical Grammar. Journal of Logic, Language and Information 14 (1):49-86.

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