Properties and Applications of Programs with Monotone and Convex Constraints
Abstract
We study properties of programs with monotone and convex constraints. We extend to these formalisms concepts and results from normal logic programming. They include the notions of strong and uniform equivalence with their characterizations, tight programs and Fages Lemma, program completion and loop formulas. Our results provide an abstract account of properties of some recent extensions of logic programming with aggregates, especially the formalism of lparse programs. They imply a method to compute stable models of lparse programs by means of off-the-shelf solvers of pseudo-boolean constraints, which is often much faster than the smodels system.
Cite
Text
Liu and Truszczynski. "Properties and Applications of Programs with Monotone and Convex Constraints." Journal of Artificial Intelligence Research, 2006. doi:10.1613/JAIR.2009Markdown
[Liu and Truszczynski. "Properties and Applications of Programs with Monotone and Convex Constraints." Journal of Artificial Intelligence Research, 2006.](https://mlanthology.org/jair/2006/liu2006jair-properties/) doi:10.1613/JAIR.2009BibTeX
@article{liu2006jair-properties,
title = {{Properties and Applications of Programs with Monotone and Convex Constraints}},
author = {Liu, Lengning and Truszczynski, Miroslaw},
journal = {Journal of Artificial Intelligence Research},
year = {2006},
pages = {299-334},
doi = {10.1613/JAIR.2009},
volume = {27},
url = {https://mlanthology.org/jair/2006/liu2006jair-properties/}
}