2004
DOI: 10.1007/978-3-540-27775-0_30
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Logic Programs with Annotated Disjunctions

Abstract: Current literature offers a number of different approaches to what could generally be called "probabilistic logic programming". These are usually based on Horn clauses. Here, we introduce a new formalism, Logic Programs with Annotated Disjunctions, based on disjunctive logic programs. In this formalism, each of the disjuncts in the head of a clause is annotated with a probability. Viewing such a set of probabilistic disjunctive clauses as a probabilistic disjunction of normal logic programs allows us to derive… Show more

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Cited by 143 publications
(184 citation statements)
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References 18 publications
(19 reference statements)
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“…In the second part of this paper, we formally investigate this relation. This will lead to a theorem, that shows that our logic almost completely coincides with the probabilistic logic programming language of Logic Programs with Annotated Disjunctions [12], which is known to have strong ties to Poole's Independent Choice Logic [7]. As such, the previous analysis provides additional motivation for these languages, showing that they are not only meaningful combinations of logic programming and probability, but that they also arise naturally out of a desire to represent causal information about probabilistic processes.…”
Section: Introductionmentioning
confidence: 84%
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“…In the second part of this paper, we formally investigate this relation. This will lead to a theorem, that shows that our logic almost completely coincides with the probabilistic logic programming language of Logic Programs with Annotated Disjunctions [12], which is known to have strong ties to Poole's Independent Choice Logic [7]. As such, the previous analysis provides additional motivation for these languages, showing that they are not only meaningful combinations of logic programming and probability, but that they also arise naturally out of a desire to represent causal information about probabilistic processes.…”
Section: Introductionmentioning
confidence: 84%
“…Logic Programs with Annotated Disjunctions (LPADs) are a probabilistic logic programming language, that was conceived in [12] as a straightforward extension of logic programs with probability. In this section, we relate LPADs to CP-logic.…”
Section: Logic Programs With Annotated Disjunctionsmentioning
confidence: 99%
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“…A similar relationship between SSAT and other probabilistic logic programming frameworks, e.g., (Ng & Subrahmanian 1992;1993;1994;Dekhtyar & Subrahmanian 2000;Kern-Isberner & Lukasiewicz 2004;Lukasiewicz 1998;Baral, Gelfond, & Rushton 2004;Kersting & Raedt 2000;Lakshmanan & Sadri 2001;Poole 1997;Vennekens, Verbaeten, & Bruynooghe 2004), has not been studied. However, the relationship between the probabilistic logic programming frameworks (Ng & Subrahmanian 1992;1993;1994;Dekhtyar & Subrahmanian 2000;Kern-Isberner & Lukasiewicz 2004;Lukasiewicz 1998) and a different extension to SAT, namely, Probabilistic SAT (PSAT) (Boole 1854) has been studied.…”
Section: Related Work and Conclusionmentioning
confidence: 99%
“…However, it is not clear how to translate PSAT to a probabilistic logic program in (Ng & Subrahmanian 1992;1993;1994;Dekhtyar & Subrahmanian 2000;Kern-Isberner & Lukasiewicz 2004;Lukasiewicz 1998). The probabilistic logic programming frameworks of (Baral, Gelfond, & Rushton 2004;Kersting & Raedt 2000;Poole 1997;Vennekens, Verbaeten, & Bruynooghe 2004) relate probabilistic logic programming to Bayesian networks, which is different from SSAT and PSAT.…”
Section: Related Work and Conclusionmentioning
confidence: 99%