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Logic and Grammar

by: Joachim Lambek
Studia Logica, Vol. 100, No. 4. (8 August 2012), pp. 1-15, doi:10.1007/s11225-012-9426-7  Key: citeulike:11066211

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Abstract

Grammar can be formulated as a kind of substructural propositional logic. In support of this claim, we survey bare Gentzen style deductive systems and two kinds of non-commutative linear logic: intuitionistic and compact bilinear logic. We also glance at their categorical refinements.


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