Proof Nets for Basic Discontinuous Lambek Calculus |
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Authors: | Morrill Glyn; Fadda Mario |
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Affiliation: | Universitat Politècnica de Catalunya E-mail: mfadda{at}lsi.upc.edu, morrill{at}lsi.upc.edu |
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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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