Analyzing Semantics of Aggregate Answer Set Programming Using Approximation Fixpoint Theory
Artificial Intelligence
2022-05-18 v5 Logic in Computer Science
Abstract
Aggregates provide a concise way to express complex knowledge. The problem of selecting an appropriate formalisation of aggregates for answer set programming (ASP) remains unsettled. This paper revisits it from the viewpoint of Approximation Fixpoint Theory (AFT). We introduce an AFT formalisation equivalent with the Gelfond-Lifschitz reduct for basic ASP programs and we extend it to handle aggregates. We analyse how existing approaches relate to our framework. We hope this work sheds some new light on the issue of a proper formalisation of aggregates. This paper is under consideration for acceptance in TPLP.
Keywords
Cite
@article{arxiv.2104.14789,
title = {Analyzing Semantics of Aggregate Answer Set Programming Using Approximation Fixpoint Theory},
author = {Linde Vanbesien and Maurice Bruynooghe and Marc Denecker},
journal= {arXiv preprint arXiv:2104.14789},
year = {2022}
}
Comments
Paper presented at the 38th International Conference on Logic Programming (ICLP 2022), 22 pages (including supplementary material)