Abstract:Abstract:We investigate expressiveness and definability issues with respect to minimal models, particularly in the scope of Circumscription. First, we give a proof of the failure of the Löwenheim-Skolem Theorem for Circumscription. Then we show that, if the class of P ; Z-minimal models of a first-order sentence is ∆-elementary, then it is elementary. That is, whenever the circumscription of a firstorder sentence is equivalent to a first-order theory, then it is equivalent to a finitely axiomatizable one. This… Show more
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