P-log: refinement and a new coherency condition
This paper focuses on the investigation and improvement of knowledge representation language P-log that allows for both logical and probabilistic reasoning. We refine the definition of the language by eliminating some ambiguities and incidental decisions made in its original version and slightly mod...
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| Vydáno v: | Annals of mathematics and artificial intelligence Ročník 86; číslo 1-3; s. 149 - 192 |
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01.07.2019
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| Abstract | This paper focuses on the investigation and improvement of knowledge representation language P-log that allows for both logical and probabilistic reasoning. We refine the definition of the language by eliminating some ambiguities and incidental decisions made in its original version and slightly modify the formal semantics to better match the intuitive meaning of the language constructs. We also define a new class of coherent (i.e., logically and probabilistically consistent) P-log programs which facilitates their construction and proofs of correctness. There are a query answering algorithm, sound for programs from this class, and a prototype implementation which, due to their size, are not included in the paper. They, however, can be found in the dissertation of the first author. |
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| AbstractList | This paper focuses on the investigation and improvement of knowledge representation language P-log that allows for both logical and probabilistic reasoning. We refine the definition of the language by eliminating some ambiguities and incidental decisions made in its original version and slightly modify the formal semantics to better match the intuitive meaning of the language constructs. We also define a new class of coherent (i.e., logically and probabilistically consistent) P-log programs which facilitates their construction and proofs of correctness. There are a query answering algorithm, sound for programs from this class, and a prototype implementation which, due to their size, are not included in the paper. They, however, can be found in the dissertation of the first author. Keywords Answer set programming * Probabilistic inference * Knowledge representation Mathematics Subject Classification (2010) 60 * 68 This paper focuses on the investigation and improvement of knowledge representation language P-log that allows for both logical and probabilistic reasoning. We refine the definition of the language by eliminating some ambiguities and incidental decisions made in its original version and slightly modify the formal semantics to better match the intuitive meaning of the language constructs. We also define a new class of coherent (i.e., logically and probabilistically consistent) P-log programs which facilitates their construction and proofs of correctness. There are a query answering algorithm, sound for programs from this class, and a prototype implementation which, due to their size, are not included in the paper. They, however, can be found in the dissertation of the first author. |
| Audience | Academic |
| Author | Zhang, Yuanlin Gelfond, Michael Balai, Evgenii |
| Author_xml | – sequence: 1 givenname: Evgenii orcidid: 0000-0002-3165-482X surname: Balai fullname: Balai, Evgenii email: evgenii.balai@gmail.com organization: Texas Tech University – sequence: 2 givenname: Michael surname: Gelfond fullname: Gelfond, Michael organization: Texas Tech University – sequence: 3 givenname: Yuanlin surname: Zhang fullname: Zhang, Yuanlin organization: Texas Tech University |
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Comput.199193/436538610.1007/BF030371690735.68012 ET Jaynes (9620_CR24) 2003 9620_CR36 D Poole (9620_CR39) 1993; 64 FG Cozman (9620_CR12) 2017; 60 9620_CR35 9620_CR10 9620_CR11 J Dix (9620_CR14) 1996; 28 C Baral (9620_CR8) 2009; 9 9620_CR31 J Pearl (9620_CR37) 2000 LM Pereira (9620_CR38) 2016 9620_CR19 9620_CR17 9620_CR9 9620_CR7 9620_CR5 9620_CR6 9620_CR3 9620_CR4 D Poole (9620_CR40) 1997; 94 D Fierens (9620_CR15) 2015; 15 R Ng (9620_CR33) 1992; 101 L De Raedt (9620_CR13) 2015; 100 L Ngo (9620_CR34) 1997; 171 JY Halpern (9620_CR23) 2005; 56 9620_CR25 9620_CR47 9620_CR26 9620_CR48 9620_CR45 M Gelfond (9620_CR18) 1991; 9 9620_CR21 9620_CR43 9620_CR22 9620_CR41 9620_CR42 9620_CR1 9620_CR2 9620_CR29 9620_CR27 9620_CR28 T Lukasiewicz (9620_CR30) 2007; 45 M Gelfond (9620_CR20) 2014; 14 J Vennekens (9620_CR44) 2009; 9 S Muggleton (9620_CR32) 1996; 32 MP Wellman (9620_CR46) 1993; 15 M Gelfond (9620_CR16) 2014 |
| References_xml | – reference: Balai, E., Gelfond, M., Zhang, Y.: Towards answer set programming with sorts. In: Logic Programming and Nonmonotonic Reasoning, 12th International Conference, LPNMR 2013, Corunna, Spain, September 15-19, 2013. Proceedings, pp. 135–147 (2013) – reference: Cabalar, P.: Partial functions and equality in answer set programming. In: Logic Programming, 24th International Conference, ICLP 2008, Udine, Italy, December 9-13 2008, Proceedings, pp. 392–406. https://doi.org/10.1007/978-3-540-89982-2_36 (2008) – reference: GelfondMLifschitzVClassical negation in logic programs and disjunctive databasesN. Gener. Comput.199193/436538610.1007/BF030371690735.68012 – reference: Lee, J., Wang, Y.: Weighted rules under the stable model semantics. In: Principles of Knowledge Representation and Reasoning: Proceedings of the Fifteenth International Conference, KR 2016, Cape Town, South Africa, April 25-29, 2016, pp. 145–154. http://www.aaai.org/ocs/index.php/KR/KR16/paper/view/12901 (2016) – reference: PooleDProbabilistic horn abduction and bayesian networksArtif. Intell.1993648112910.1016/0004-3702(93)90061-F0792.68176 – reference: DixJGottlobGMarekVWReducing disjunctive to non-disjunctive semantics by shift-operationsFundam. Inform.1996281-28710014323140863.6808810.3233/FI-1996-281205 – reference: Baral, C., Gelfond, M., Rushton, N.: Probabilistic Reasoning with Answer Sets. in: International Conference on Logic Programming and Nonmonotonic Reasoning, pp. 21–33. Springer (2004) – reference: CozmanFGMauáDDOn the semantics and complexity of probabilistic logic programsJ. Artif. Intell. 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| SubjectTerms | Algorithms Artificial Intelligence Boolean Cognition & reasoning Complex Systems Computer Science Knowledge representation Language Mathematical functions Mathematics Semantics Syntax |
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