We review and compare the main techniques considered to represent finite sets in logic languages. We present a technique that combines the benefits of the previous techniques, avoiding their drawbacks. We show how to verify satisfiability of any conjunction of (positive and negative) literals based on =, ⊆, ∈, and ∪, ∩, \, and ||, viewed as predicate symbols, in a (hybrid) universe of finite sets. We also show that ∪ and || (i.e., disjointness of two sets) are sufficient to represent all the above mentioned operations.

On the Representation and Management of Finite Sets in CLP-languages

DOVIER, Agostino;PIAZZA, Carla;
1998

Abstract

We review and compare the main techniques considered to represent finite sets in logic languages. We present a technique that combines the benefits of the previous techniques, avoiding their drawbacks. We show how to verify satisfiability of any conjunction of (positive and negative) literals based on =, ⊆, ∈, and ∪, ∩, \, and ||, viewed as predicate symbols, in a (hybrid) universe of finite sets. We also show that ∪ and || (i.e., disjointness of two sets) are sufficient to represent all the above mentioned operations.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/855575
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