Logical Predicates for Intuitionistic Linear Type Theories

  • Authors:
  • Masahito Hasegawa

  • Affiliations:
  • -

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

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Abstract

We develop a notion of Kripke-like parameterized logical predicates for two fragments of intuitionistic linear logic (MILL and DILL) in terms of their category-theoretic models. Such logical predicates are derived from the categorical glueing construction combined with the free symmetric monoidal cocompletion. As applications, we obtain full completeness results of translations between linear type theories.