Semi-Thue Systems with an Inhibitor

  • Authors:
  • Robert McNaughton

  • Affiliations:
  • Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, U.S.A. e-mail: mcnaught@cs.rpi.edu

  • Venue:
  • Journal of Automated Reasoning
  • Year:
  • 2001

Quantified Score

Hi-index 0.00

Visualization

Abstract

A isemi-Thue system with an inhibitor is one having a special symbol, called an iinhibitor, that appears on the right side of every rule but does not appear on the left side of any rule. The main result of this paper is that the uniform halting problem is decidable for the class of such systems. The concept of iinhibitor is related to the concept of iwell-behaved derivation in systems without an inhibitor. The latter concept has received some attention from those interested in the open question as to whether the uniform termination problem for one-rule semi-Thue systems is decidable.