Default Logic - Complexity

Complexity

The computational complexity of the following problems about default logic is known:

Existence of extensions
deciding whether a propositional default theory has at least one extension is -complete;
Skeptical entailment
deciding whether a propositional default theory skeptically entails a propositional formula is -complete;
Credulous entailment
deciding whether a propositional default theory credulously entails a propositional formula is -complete;
Extension checking
deciding whether a propositional formula is equivalent to an extension of a propositional default theory is -complete;
Model checking
deciding whether a propositional interpretation is a model of an extension of a propositional default theory is -complete.

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