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Proof Nets for Basic Discontinuous Lambek Calculus
Authors:Morrill  Glyn; Fadda  Mario
Affiliation:Universitat Politècnica de Catalunya E-mail: mfadda{at}lsi.upc.edu, morrill{at}lsi.upc.edu
Abstract:The theory of proof nets for continuity based on the Lambekcalculus is well-developed, but we need a compatible extensionto include discontinuity. Earlier work set out ingredients:hypersequent calculus and proof nets expanded with parameteredges. This article completes a preliminary line by finalizinga version of proof nets for the basic discontinuous Lambek calculusBDLC (the minimal system with one point of discontinuity) andproving correctness with respect to the hypersequent calculus.
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