On interpolation in existence logics

  • Authors:

  • Matthias Baaz;Rosalie Iemhoff

  • Affiliations:

  • Technical University Vienna, Vienna, Austria;Technical University Vienna, Vienna, Austria

  • Venue:
  • LPAR'05 Proceedings of the 12th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
  • Year:
  • 2005

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Abstract

In [2] Gentzen calculi for intuitionistic logic extended with an existence predicate were introduced. Such logics were first introduced by Dana Scott, who provided a proof system for it in Hilbert style.The logic seems particularly useful in settings where non constant domain Kripke models play a role. In this paper it is proved that these systems have interpolation and the Beth definability property.