A Study of Abramsky's Linear Chemical Abstract Machine

  • Authors:
  • Seikoh Mikami;Yohji Akama

  • Affiliations:
  • -;-

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

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Abstract

Abramsky's Linear Chemical Abstract Machine (LCHAM) is a term calculus which corresponds to Linear Logic, via the Curry-Howard isomorphism. We introduce a translation from a linear λ-calculus into lcham. The translation result can be well regarded as a black box with the i/o ports being atomic.We show that one step computation of LCHAM is equivalent to that of the linear λ-calculus. Then, we prove the principal typing theorem of LCHAM, which implies the decidability of type checking.