Residuation, Structural Rules and Context Freeness

Journal of Logic, Language and Information 13 (1):47-59 (2004)
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Abstract

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.

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Citations of this work

Decidability of topological quasi-Boolean algebras.Yiheng Wang, Zhe Lin & Minghui Ma - forthcoming - Journal of Applied Non-Classical Logics:1-25.
Semantic bootstrapping of type-logical grammar.Sean A. Fulop - 2004 - Journal of Logic, Language and Information 14 (1):49-86.
Complexity of the Universal Theory of Residuated Ordered Groupoids.Dmitry Shkatov & C. J. Van Alten - 2023 - Journal of Logic, Language and Information 32 (3):489-510.
Type Logics and Pregroups.Wojciech Buszkowski - 2007 - Studia Logica 87 (2-3):145-169.

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