Multi-adjoint Logic Programming with Continuous Semantics

  • Authors:
  • Jesús Medina;Manuel Ojeda-Aciego;Peter Vojtás

  • Affiliations:
  • -;-;-

  • Venue:
  • LPNMR '01 Proceedings of the 6th International Conference on Logic Programming and Nonmonotonic Reasoning
  • Year:
  • 2001

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Abstract

Considering different implication operators, such as "Łukasiewicz, Gödel or product implication in the same logic program, naturally leads to the allowance of several adjoint pairs in the lattice of truthvalues. In this paper we apply this idea to introduce multi-adjoint logic programs as an extension of monotonic logic programs. The continuity of the immediate consequences operators is proved and the assumptions required to get continuity are further analysed.