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Axiomatization of Aggregates in Answer Set Programming
36th AAAI Conference on Artificial Intelligence (2022)
  • Jorge Fandinno
  • Zach Hansen
  • Yuliya Lierler
Abstract
The paper presents a characterization of logic programs with aggregates based on a many-sorted generalization of operator SM that refers neither to grounding nor to fixpoints. This characterization introduces new function symbols for aggregate operations and aggregate elements, whose meaning can be 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.

Publication Date
February, 2022
Citation Information
Jorge Fandinno, Zach Hansen and Yuliya Lierler. "Axiomatization of Aggregates in Answer Set Programming" 36th AAAI Conference on Artificial Intelligence (2022)
Available at: http://works.bepress.com/yuliya_lierler/113/