Investigations into Categorial Grammar: Symmetric Pregroup Grammar and Displacement Calculus
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The ?firrst (and shortest) part reflects on Pregroup Grammar and a symmetric extension in the light of a distributional formalism introduced by Coecke et al. It is inspired by Category Theory and abstract algebra, and shows a gentle combination of a compositional and a distributional perspective on computational linguistics, united through the theory of Cartesian Closed Categories and Weakly Distributive Categories. The second part is an investigation into Displacement Calculus and it's generative capacity, and takes the perspective of the Categorial Grammar framework versus the Generative Grammar framework. We try to argue a convergence between the two frameworks through an equivalence between Displacment Grammar and Multiple Context-Free Grammar.