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Logic and Grammar
Authors:Joachim Lambek
Affiliation:1. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Canada
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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