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A model theory for paraconsistent logic programming

  • Carlos Viegas Damásio
  • Luís Moniz Pereira
Posters Theory of Computation
Part of the Lecture Notes in Computer Science book series (LNCS, volume 990)

Abstract

We provide a nine-valued logic to characterize the models of logic programs under a paraconsistent well-founded semantics with explicit negation WFSXp. We define a truth-functional logic, \(\mathcal{N}\mathcal{I}\mathcal{N}\mathcal{E}\), based on the bilattice construction of Ginsberg and Fitting. The models identified by WFSXp are models of logic \(\mathcal{N}\mathcal{I}\mathcal{N}\mathcal{E}\). We conclude with a discussion on the conditions to obtain an isomorphism between the two definitions, and thereby characterizing WFSXp model-theoretically.

Keywords

Logic Program Logic Programming Complete Lattice Belief Revision Paraconsistent Logic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Carlos Viegas Damásio
    • 1
  • Luís Moniz Pereira
    • 1
  1. 1.CRIA, Uninova and DCS, U. Nova de LisboaMonte da CaparicaPortugal

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