Intermediate Logics and the de Jongh property

  • Authors:
  • Dick Jongh;Rineke Verbrugge;Albert Visser

  • Affiliations:
  • ILLC, University of Amsterdam, Amsterdam, The Netherlands 1098 XH;Artificial Intelligence, University of Groningen, Groningen, The Netherlands 9700 AK;Department of Philosophy, Utrecht University, Utrecht, The Netherlands 3584 CS

  • Venue:
  • Archive for Mathematical Logic
  • Year:
  • 2011

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Abstract

We prove that all extensions of Heyting Arithmetic with a logic that has the finite frame property possess the de Jongh property.