Lower bounds for natural proof systems

  • Authors:
  • Dexter Kozen

  • Affiliations:
  • -

  • Venue:
  • SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1977

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Abstract

Two decidable logical theories are presented, one complete for deterministic polynomial time, one complete for polynomial space. Both have natural proof systems. A lower space bound of n/log(n) is shown for the proof system for the PTIME complete theory and a lower length bound of 2cn/log(n) is shown for the proof system for the PSPACE complete theory.