A Meta Linear Logical Framework

  • Authors:
  • Andrew McCreight;Carsten Schürmann

  • Affiliations:
  • Yale University, New Haven, CT, USA;Yale University, New Haven, CT, USA

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2008

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Abstract

Logical frameworks serve as meta languages to represent deductive systems, sometimes requiring special purpose meta logics to reason about the representations. In this work, we describe L"@w^+, a meta logic for the linear logical framework LLF [Iliano Cervesato and Frank Pfenning. A linear logical framework. In E. Clarke, editor, Proceedings of the Eleventh Annual Symposium on Logic in Computer Science, pages 264-275, New Brunswick, New Jersey, July 1996. IEEE Computer Society Press.] and illustrate its use via a proof of the admissibility of cut in the sequent calculus for the tensor fragment of linear logic. L"@w^+ is first-order, intuitionistic, and not linear. The soundness of L"@w^+ is shown.