The idea of a vivid knowledge base is to get an interpretation mostly straightforward out of it – it implies the interpretation.
A propositional knowledge base KB is vivid iff KB is a complete and consistent set of literals (over some vocabulary).
A check for entailment of a sentence can simply be broken down into its literals and those can be answered by a simple database-like check of KB.
A first-order knowledge base KB is vivid iff for some finite set of positive function-free ground literals KB+, whereby [2] All interpretations of a vivid first-order knowledge base are isomorphic.
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