Linear logic and elementary time

  • Authors:
  • Vincent Danos;Jean-Baptiste Joinet

  • Affiliations:
  • CNRS and Université Paris 7, Paris, France;Université Paris 1 and CNRS, Paris, France

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

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Abstract

A subsystem of linear logic, elementary linear logic, is defined and shown to represent exactly elementary recursive functions. Its choicest part consists in reducing the deductive power of the exponential, also known as the "bang," which, in linear logic, is in charge of controlling duplication in the cut-elimination process.