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://drops.dagstuhl.de/opus/volltexte/2011/3169/
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### Abduction in Annotated Probabilistic Temporal Logic

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### 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 =		{http://dx.doi.org/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 Seminar: Technical Communications of the 27th International Conference on Logic Programming (ICLP'11) Issue Date: 2011 Date of publication: 27.06.2011

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