Axiomatization of Aggregates in Answer Set Programming

Jorge Fandinno; Zachary Hansen; Yuliya Lierler

AAAI 2022technical16 citations

Axiomatization of Aggregates in Answer Set Programming

Jorge Fandinno, Zachary Hansen, Yuliya Lierler

Abstract

The paper presents a characterization of logic programs with aggregates based on many-sorted generalization of operator SM that refers neither to grounding nor to fixpoints. This characterization introduces new symbols for aggregate operations and aggregate elements, whose meaning is fixed by adding appropriate axioms to the result of the SM transformation. We prove that for programs without positive recursion through aggregates our semantics coincides with the semantics of the answer set solver Clingo.

BibTeX

@inproceedings{aaai2022_axiomatizationof,
  title = {Axiomatization of Aggregates in Answer Set Programming},
  author = {Jorge Fandinno and Zachary Hansen and Yuliya Lierler},
  booktitle = {AAAI 2022},
  year = {2022}
}