Abstract

Aggregates are among the most important linguistic extensions of Answer Set Programming (ASP), allowing for compact representations of properties and inductive definitions involving sets of propositions. Common use cases of aggregates in ASP are reported in this paper, which mainly focus on the semantics implemented by mainstream solvers, namely the F-stable model semantics. Other well-established semantics are also briefly discussed, providing a historical perspective on the foundation of logic programs with aggregates.

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