Complexity metatheorems for context-free grammar problems

  • Authors:
  • Harry B. Hunt, III;Thomas G. Szymanski

  • Affiliations:
  • -;-

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 1976

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Abstract

Metatheorems are presented which can be used to (i) establish undecidability results about context-free grammar problems, and (ii) establish lower bounds on certain decidable grammar problems. The main undecidability result is obtained through the simulation of a Turing machine which always halts. This technique promises to be applicable in many situations where conventional techniques for proving undecidability do not succeed.