Definability in Dynamic Logic

  • Authors:
  • Albert R. Meyer;Rohit Parikh

  • Affiliations:
  • -;-

  • Venue:
  • STOC '80 Proceedings of the twelfth annual ACM symposium on Theory of computing
  • Year:
  • 1980

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Abstract

We study the expressive power of various versions of Dynamic Logic and compare them with each other as well as with standard languages in the logical literature. One version of Dynamic Logic is equivalent to the infinitary logic LCK&ohgr;1&ohgr;, but regular Dynamic Logic is strictly less expressive. In particular, the ordinals &ohgr;&ohgr; and &ohgr; &ohgr;.2 are indistinguishable by formulas of regular Dynamic Logic.