A Constructive Semantic Characterization of Aggregates in ASP

dc.creatorSon, Tran Cao
dc.creatorPontelli, Enrico
dc.date2006-01-13
dc.date2006-02-08
dc.date.accessioned2026-07-07T06:57:55Z
dc.date.available2026-07-07T06:57:55Z
dc.descriptionThis technical note describes a monotone and continuous fixpoint operator to compute the answer sets of programs with aggregates. The fixpoint operator relies on the notion of aggregate solution. Under certain conditions, this operator behaves identically to the three-valued immediate consequence operator $Φ^{aggr}_P$ for aggregate programs, independently proposed Pelov et al. This operator allows us to closely tie the computational complexity of the answer set checking and answer sets existence problems to the cost of checking a solution of the aggregates in the program. Finally, we relate the semantics described by the operator to other proposals for logic programming with aggregates. To appear in Theory and Practice of Logic Programming (TPLP).
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/cs/0601051
dc.identifierhttp://arxiv.org/abs/cs/0601051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107157
dc.subjectArtificial Intelligence
dc.subjectLogic in Computer Science
dc.subjectProgramming Languages
dc.subjectSymbolic Computation
dc.subjectD.1.6; D.3.1; D.3.2; D.3.3
dc.titleA Constructive Semantic Characterization of Aggregates in ASP
dc.typetext

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