Linear types and non-size-increasing polynomial time computation

  • Authors:
  • Martin Hofmann

  • Affiliations:
  • Ludwig-Maximilians-Universität München, Theoretical Computer Science, Oettingenstrasse 67, 80538 München, Germany

  • Venue:
  • Information and Computation - Special issue: ICC '99
  • Year:
  • 2003

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Abstract

We propose a linear type system with recursion operators for inductive datatypes which ensures that all definable functions are polynomial time computable. The system improves upon previous such systems in that recursive definitions can be arbitrarily nested; in particular, no predicativity or modality restrictions are made.