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A Linear Proof Language for Second-Order Intuitionistic Linear Logic

  • Alejandro Díaz-Caro,
  • Gilles Dowek,
  • Malena Ivnisky,
  • Octavio Malherbe

摘要

We present a polymorphic linear lambda-calculus as a proof language for second-order intuitionistic linear logic. The calculus includes addition and scalar multiplication, enabling the proof of a linearity result at the syntactic level.