Linear Ramified Higher Type Recursion and Parallel Complexity

  • Authors:
  • Klaus Aehlig;Jan Johannsen;Helmut Schwichtenberg;Sebastiaan Terwijn

  • Affiliations:
  • -;-;-;-

  • Venue:
  • PTCS '01 Proceedings of the International Seminar on Proof Theory in Computer Science
  • Year:
  • 2001

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Abstract

A typed lambda calculus with recursion in all finite types is defined such that the first order terms exactlyc haracterize the parallel complexityclass NC. This is achieved byuse of the appropriate forms of recursion (concatenation recursion and logarithmic recursion), a ramified type structure and imposing of a linearity constraint.