Abstract
Preemption is a reasoning mechanism that makes an incoming logically weaker piece of information prevail over pre-existing stronger knowledge. In this paper, recent results about preemption are extended to cover a family of knowledge representation formalisms that accommodate defeasible rules through reasoning on minimal models and abnormality propositions to represent exceptions. Interestingly, despite the increase of expressiveness and computational complexity of inference in this extended setting, reasonable working conditions allow the treatment of preemption in standard logic to be directly imported as such at no additional computing cost.
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References
Besnard, P., Grégoire, É., Ramon, S.: Enforcing logically weaker knowledge in classical logic. In: Xiong, H., Lee, W.B. (eds.) KSEM 2011. LNCS, vol. 7091, pp. 44–55. Springer, Heidelberg (2011)
Besnard, P., Grégoire, É., Ramon, S.: Preemption operators. In: Proceedings of the 20th European Conference on Artificial Intelligence (ECAI 2012), pp. 893–894 (2012)
McCarthy, J.: Applications of circumscription to formalizing common-sense knowledge. Artificial Intelligence 28(1), 89–116 (1986)
Gebser, M., Kaminski, R., Kaufmann, B., Schaub, T.: Answer Set Solving in Practice. Synthesis Lectures on Artificial Intelligence and Machine Learning. Morgan and Claypool Publishers (2012)
Zhuang, Z.Q., Pagnucco, M., Meyer, T.: Implementing iterated belief change via prime implicates. In: Orgun, M.A., Thornton, J. (eds.) AI 2007. LNCS (LNAI), vol. 4830, pp. 507–518. Springer, Heidelberg (2007)
Bienvenu, M., Herzig, A., Qi, G.: Prime implicate-based belief revision operators. In: 20th European Conference on Artificial Intelligence (ECAI 2012), pp. 741–742 (2008)
Darwiche, A., Marquis, P.: A knowledge compilation map. Journal of Artificial Intelligence Research (JAIR) 17, 229–264 (2002)
Eiter, T., Makino, K.: Generating all abductive explanations for queries on propositional horn theories. In: Baaz, M., Makowsky, J.A. (eds.) CSL 2003. LNCS, vol. 2803, pp. 197–211. Springer, Heidelberg (2003)
Cadoli, M., Schaerf, M.: A survey of complexity results for nonmonotonic logics. Journal of Logic Programming 17(2/3&4), 127–160 (1993)
Cadoli, M.: The complexity of model checking for circumscriptive formulae. Information Processing Letters 44(3), 113–118 (1992)
Eiter, T., Gottlob, G.: On the complexity of propositional knowledge base revision, updates, and counterfactuals. Artificial Intelligence 57(2-3), 227–270 (1992)
Angiulli, F., Ben-Eliyahu-Zohary, R., Fassetti, F., Palopoli, L.: On the tractability of minimal model computation for some CNF theories. Artificial Intelligence 210, 56–77 (2014)
Lifschitz, V.: Answer set planning (abstract). In: Gelfond, M., Leone, N., Pfeifer, G. (eds.) LPNMR 1999. LNCS (LNAI), vol. 1730, pp. 373–374. Springer, Heidelberg (1999)
Lifschitz, V.: Answer set programming and plan generation. Artificial Intelligence 138(1-2), 39–54 (2002)
Grégoire, É., Lagniez, J.M., Mazure, B.: An experimentally efficient method for (MSS,CoMSS) partitioning. In: Proceedings of the 28th Conference on Artificial Intelligence (AAAI 2014). AAAI Press (2014)
Eén, N., Sörensson, N.: An extensible SAT-solver. In: Giunchiglia, E., Tacchella, A. (eds.) SAT 2003. LNCS, vol. 2919, pp. 502–518. Springer, Heidelberg (2004)
Marques-Silva, J., Heras, F., Janota, M., Previti, A., Belov, A.: On computing minimal correction subsets. In: Proceedings of the 23rd International Joint Conference on Artificial Intelligence, IJCAI 2013 (2013)
Ginsberg, M.: Readings in nonmonotonic reasoning. M. Kaufmann Publishers (1987)
Fermé, E.L., Hansson, S.O.: AGM 25 years - twenty-five years of research in belief change. Journal of Philosophical Logic 40(2), 295–331 (2011)
Grégoire, É., Konieczny, S.: Logic-based approaches to information fusion. Information Fusion 7(1), 4–18 (2006)
Besnard, P., Grégoire, É.: Handling incoming beliefs. In: Wang, M. (ed.) KSEM 2013. LNCS, vol. 8041, pp. 206–217. Springer, Heidelberg (2013)
Besnard, P., Grégoire, É., Ramon, S.: Overriding subsuming rules. International Journal of Approximate Reasoning 54(4), 452–466 (2013)
Reiter, R.: A logic for default reasoning. Artificial Intelligence 13(1-2), 81–132 (1980)
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Grégoire, É. (2014). Knowledge Preemption and Defeasible Rules. In: Buchmann, R., Kifor, C.V., Yu, J. (eds) Knowledge Science, Engineering and Management. KSEM 2014. Lecture Notes in Computer Science(), vol 8793. Springer, Cham. https://doi.org/10.1007/978-3-319-12096-6_2
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DOI: https://doi.org/10.1007/978-3-319-12096-6_2
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