Hilbertian systems, analytic fuzzy tableaux and cut rule elimination in rational pavelka logic

  • Authors:
  • Luigi Di Lascio

  • Affiliations:
  • Università di Salerno, Baronissi, Italia

  • Venue:
  • SEKE '02 Proceedings of the 14th international conference on Software engineering and knowledge engineering
  • Year:
  • 2002

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Abstract

In this paper a sound and complete tableau system for the Rational Pavelka Logic is introduced. The completeness is proved thanks to fuzzy hilbertian system formulated by Hajek. A fuzzy tableau cut rule is introduced but a cut elimination theorem is proved.