License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICLP.2011.240
URN: urn:nbn:de:0030-drops-31697
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2011/3169/
Molinaro, Cristian ;
Sliva, Amy ;
Subrahmanian, V. S.
Abduction in Annotated Probabilistic Temporal Logic
Abstract
Annotated Probabilistic Temporal (APT) logic programs are a form of logic programs that allow users to state (or systems to automatically learn)rules of the form ``formula G becomes true K time units after formula F became true with L to U% probability.''
In this paper, we develop a theory of abduction for APT logic programs. Specifically, given an APT logic program Pi, a set of formulas H that can be ``added'' to Pi, and a goal G, is there a subset S of H such that Pi \cup S is consistent and entails the goal G? In this paper, we study the complexity of the Basic APT Abduction Problem (BAAP). We then leverage a geometric characterization of BAAP to suggest a set of pruning strategies when solving BAAP and use these intuitions to develop a sound and complete algorithm.
BibTeX - Entry
@InProceedings{molinaro_et_al:LIPIcs:2011:3169,
author = {Cristian Molinaro and Amy Sliva and V. S. Subrahmanian},
title = {{Abduction in Annotated Probabilistic Temporal Logic}},
booktitle = {Technical Communications of the 27th International Conference on Logic Programming (ICLP'11) },
pages = {240--250},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-31-6},
ISSN = {1868-8969},
year = {2011},
volume = {11},
editor = {John P. Gallagher and Michael Gelfond},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2011/3169},
URN = {urn:nbn:de:0030-drops-31697},
doi = {10.4230/LIPIcs.ICLP.2011.240},
annote = {Keywords: Probabilistic Reasoning, Imprecise Probabilities, Temporal Reasoning, Abductive Reasoning}
}
Keywords: |
|
Probabilistic Reasoning, Imprecise Probabilities, Temporal Reasoning, Abductive Reasoning |
Collection: |
|
Technical Communications of the 27th International Conference on Logic Programming (ICLP'11) |
Issue Date: |
|
2011 |
Date of publication: |
|
27.06.2011 |