The Linear Logical Abstract Machine

  • Authors:
  • Eduardo Bonelli

  • Affiliations:
  • LIFIA, Fac. de Informática, UNLP, Argentina

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2006

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Abstract

We derive an abstract machine from the Curry-Howard correspondence with a sequent calculus presentation of Intuitionistic Propositional Linear Logic. The states of the register based abstract machine comprise a low-level code block, a register bank and a dump holding suspended procedure activations. Transformation of natural deduction proofs into our sequent calculus yields a type-preserving compilation function from the Linear Lambda Calculus to the abstract machine. We prove correctness of the abstract machine with respect to the standard call-by-value evaluation semantics of the Linear Lambda Calculus.