Belief, Provability, and Logic Programs

@article{Alferes1995BeliefPA,
  title={Belief, Provability, and Logic Programs},
  author={Jos{\'e} J{\'u}lio Alferes and Lu{\'i}s Moniz Pereira},
  journal={J. Appl. Non Class. Logics},
  year={1995},
  volume={5},
  pages={31-50}
}
The main goal of this paper is to establish a nonmonotonic epistemic logic eB with two modalities — provability and belief — capable of expressing and comparing a variety of known semantics for extended logic programs, and clarify their meaning. In particular we present here, for the first time, embeddings into epistemic logic of logic programs extended with a second kind of negation under the well-founded semantics, and contrast them to the recent embeddings into autoepistemic logics of such… 
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WFSX is a new semantics for extended logic programs that combines LP semantics with two negations, and autoepistemic logics to deal with contradiction.
Default Negated Conclusions: Why Not?
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This work addresses the issue of the syntactical assymetry of logic programs: can one allow default negated literals in the heads, and explores this issue for IMEX semantics.

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