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Journal of Logic and Computation Advance Access originally published online on February 1, 2008
Journal of Logic and Computation 2008 18(2):239-256; doi:10.1093/logcom/exm089
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© The Author, 2008. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Articles

Proof Nets for Basic Discontinuous Lambek Calculus

Glyn Morrill and Mario Fadda

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 Lambek calculus is well-developed, but we need a compatible extension to include discontinuity. Earlier work set out ingredients: hypersequent calculus and proof nets expanded with parameter edges. This article completes a preliminary line by finalizing a version of proof nets for the basic discontinuous Lambek calculus BDLC (the minimal system with one point of discontinuity) and proving correctness with respect to the hypersequent calculus.


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