Natural Deduction for Intuitionistic Non-communicative Linear Logic

  • Authors:
  • Jeff Polakow;Frank Pfenning

  • Affiliations:
  • -;-

  • Venue:
  • TLCA '99 Proceedings of the 4th International Conference on Typed Lambda Calculi and Applications
  • Year:
  • 1999

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Abstract

We present a system of natural deduction and associated term calculus for intuitionistic non-commutative linear logic (INCLL) as a conservative extension of intuitionistic linear logic. We prove subject reduction and the existence of canonical forms in the implicational fragment.