Some Properties of Logic N-GLukG

  • Mauricio Osorio
  • José Luis Carballido
  • Claudia Zepeda
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8265)


We present an extension of GLukG, a logic that was introduced in [8] as a three-valued logic under the name of G3. GLukG is a paraconsistent logic defined in terms of 15 axioms, which serves as the formalism to define the p-stable semantics of logic programming. We introduce a new axiomatic system, N-GLukG, a paraconsistent logic that possesses strong negation. We use the 5-valued logic N5, which is a conservative extension of GLukG, to help us to prove that N-GLukG is an extension of GLukG. N-GLukG can be used as the formalism to define the p-stable semantics as well as the stable semantics.


paraconsistent knowledge representation semantics logic programming semantics 


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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Mauricio Osorio
    • 1
  • José Luis Carballido
    • 2
  • Claudia Zepeda
    • 2
  1. 1.Universidad de las AméricasCholulaMéxico
  2. 2.Facultad de Ciencias de la ComputaciónBenemérita Universidad Autónoma de PueblaMéxico

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