One Useful Logic That Defines Its Own Truth

  • Authors:
  • Andreas Blass;Yuri Gurevich

  • Affiliations:
  • Math Dept, University of Michigan, Ann Arbor, USA MI 48109;Microsoft Research, Redmond, USA WA 98052

  • Venue:
  • MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2008

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Abstract

Existential fixed point logic (EFPL) is a natural fit for some applications, and the purpose of this talk is to attract attention to EFPL. The logic is also interesting in its own right as it has attractive properties. One of those properties is rather unusual: truth of formulas can be defined (given appropriate syntactic apparatus) in the logic. We mentioned that property elsewhere, and we use this opportunity to provide the proof.