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A normalizing system of natural deduction for intuitionistic linear logic

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Abstract.

 The main result of this paper is a normalizing system of natural deduction for the full language of intuitionistic linear logic. No explicit weakening or contraction rules for -formulas are needed. By the systematic use of general elimination rules a correspondence between normal derivations and cut-free derivations in sequent calculus is obtained. Normalization and the subformula property for normal derivations follow through translation to sequent calculus and cut-elimination.

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Authors and Affiliations

  1. Department of Philosophy, University of Helsinki, Helsinki, Finland. e-mail: negri@helsinki.fi, , , , , , FI

    Sara Negri

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  1. Sara Negri
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Additional information

Received: 10 October 2000 / Revised version: 26 July 2001 / Published online: 2 September 2002

Mathematics Subject Classification (2000): 03F52, 03F05

Keywords or phrases: Linear logic – Natural deduction – General elimination rules

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Negri, S. A normalizing system of natural deduction for intuitionistic linear logic. Arch. Math. Logic 41, 789–810 (2002). https://doi.org/10.1007/s001530100136

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  • DOI: https://doi.org/10.1007/s001530100136

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