Decidability and definability with circumscription
نویسندگان
چکیده
منابع مشابه
Circumscription and Definability
Thanks to two stronger versions of predicate circumscription (one of the best known non-monotonic reasoning methods), we give a definitive answer to two old open problems. The first one is the problem of expressing domain circumscription in terms of predicate circumscription. The second one is the problem of definability of the circumscribed predicates, asked by Doyle in 1985, and never answere...
متن کاملExpressiveness and Definability in Circumscription
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 ...
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In this paper we study the definability and decidability of binary predicates for time granularity in monadic languages interpreted over finitely and infinitely layered structures. We focus our attention on the equi-level (resp. equi-column) predicate constraining two time points to belong to the same layer (resp. column) and on the horizontal (resp. vertical) successor predicate relating a tim...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1987
ISSN: 0168-0072
DOI: 10.1016/0168-0072(87)90062-5