Finite Satisfiability in Infinite-Valued Łukasiewicz Logic

  • Steven Schockaert
  • Jeroen Janssen
  • Dirk Vermeir
  • Martine De Cock
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5785)


Although it is well-known that every satisfiable formula in Łukasiewicz’ infinite-valued logic \(\mathcal{L}_{\infty}\) can be satisfied in some finite-valued logic, practical methods for finding an appropriate number of truth degrees do currently not exist. As a first step towards efficient reasoning in \(\mathcal{L}_{\infty}\), we propose a method to find a tight upper bound on this number which, in practice, often significantly improves the worst-case upper bound of Aguzzoli et al.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Steven Schockaert
    • 1
  • Jeroen Janssen
    • 2
  • Dirk Vermeir
    • 2
  • Martine De Cock
    • 1
    • 3
  1. 1.Dept. of Applied Mathematics and Computer ScienceGhent UniversityBelgium
  2. 2.Dept. of Computer ScienceVrije Universiteit BrusselBelgium
  3. 3.Institute of TechnologyUniversity of WashingtonTacomaUSA

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