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 = {240250},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {9783939897316},
ISSN = {18688969},
year = {2011},
volume = {11},
editor = {John P. Gallagher and Michael Gelfond},
publisher = {Schloss DagstuhlLeibnizZentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2011/3169},
URN = {urn:nbn:de:0030drops31697},
doi = {http://dx.doi.org/10.4230/LIPIcs.ICLP.2011.240},
annote = {Keywords: Probabilistic Reasoning, Imprecise Probabilities, Temporal Reasoning, Abductive Reasoning}
}
2011
Keywords: 

Probabilistic Reasoning, Imprecise Probabilities, Temporal Reasoning, Abductive Reasoning 
Seminar: 

Technical Communications of the 27th International Conference on Logic Programming (ICLP'11)

Related Scholarly Article: 


Issue date: 

2011 
Date of publication: 

2011 