Minimal Belief and Negation as Failure: A Feasible Approach

Antje Beringer, Torsten Schaub

Lifschitz introduced a logic of minimal belief and negation as failure, called MBNF, in order to provide a theory of epistemic queries to nonmonotonic databases. We present a feasible subsystem of MBNF which can be translated into a logic built on first order logic and negation as failure, called FONF. We give a semantics for FONF along with an extended connection calculus. In particular, we demonstrate that the obtained system is still more expressive than other approaches.

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