Abstract
We describe DysToPic, a theorem prover for the preferential Description Logic \(\mathcal {ALC}+\mathbf{T}_{min}\).This is a nonmonotonic extension of standard \(\mathcal {ALC}\) based on a typicality operator \(\mathbf{T}\), which enjoys a preferential semantics. DysToPic is a multi-engine Prolog implementation of a labelled, two-phase tableaux calculus for \(\mathcal {ALC}+\mathbf{T}_{min}\) whose basic idea is that of performing these two phases by different machines. The performances of DysToPic are promising, and significantly better than the ones of its predecessor PreDeLo 1.0 recently introduced.
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References
Baader, F., Hollunder, B.: Priorities on defaults with prerequisites, and their application in treating specificity in terminological def. logic. JAR 15(1), 41–68 (1995)
Beckert, B., Posegga, J.: leanTAP: Lean tableau-based deduction. Journal of Automated Reasoning (JAR) 15(3), 339–358 (1995)
Bonatti, P., Lutz, C., Wolter, F.: DLs with circumscription. In: KR, pp. 400–410 (2006)
Britz, K., Heidema, J., Meyer, T.: Semantic preferential subsumption. In: KR, pp. 476–484. AAAI Press, Sidney, September 2008
Casini, G., Straccia, U.: Rational closure for defeasible description logics. In: Janhunen, T., Niemelä, I. (eds.) JELIA 2010. LNCS, vol. 6341, pp. 77–90. Springer, Heidelberg (2010)
Casini, G., Straccia, U.: Defeasible inheritance-based description logics. Journal of Artificial Intelligence Research 48, 415–473 (2013)
Donini, F.M., Nardi, D., Rosati, R.: Description logics of minimal knowledge and negation as failure. ACM ToCL 3(2), 177–225 (2002)
Eiter, T., Lukasiewicz, T., Schindlauer, R., Tompits, H.: Combining answer set programming with DLs for the semantic web. In: KR, pp. 141–151 (2004)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: Preferential description logics. In: Dershowitz, N., Voronkov, A. (eds.) LPAR 2007. LNCS (LNAI), vol. 4790, pp. 257–272. Springer, Heidelberg (2007)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: ALC+T: a preferential extension of description logics. Fundamenta Informaticae 96, 341–372 (2009)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: A tableau calculus for a nonmonotonic extension of \({\cal {EL}}^\bot \). In: Brünnler, K., Metcalfe, G. (eds.) TABLEAUX 2011. LNCS (LNAI), vol. 6793, pp. 180–195. Springer, Heidelberg (2011)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: A tableau calculus for a nonmonotonic extension of the description logic \(\mathit{DL-Lite}_{\mathit{core}}\). In: Pirrone, R., Sorbello, F. (eds.) AI*IA 2011. LNCS (LNAI), vol. 6934, pp. 164–176. Springer, Heidelberg (2011)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: Reasoning abouttypicality in low complexity DLs: the logics \({\cal {EL}}^{\bot } {\mathbf{T}_{\mathit{min}}}\) and \(DL-Lite_{\mathit{c}} {\mathbf{T}_{\mathit{min}}}\). In: IJCAI 2011. pp. 894–899 (2011)
Giordano, L., Gliozzi, V., Jalal, A., Olivetti, N., Pozzato, G.L.: Predelo a theorem prover for preferential description logics. In: Baldoni, M., Baroglio, C., Boella, G., Micalizio, R. (eds.) AI*IA 2013. LNCS(LNAI), vol. 8249, pp. 60–72. Springer, Heidelberg (2013)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: Preferential vs rational description logics: which one for reasoning about typicality? In: ECAI 2010, pp. 1069–1070 (2010)
Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L.: A NonMonotonic Description Logic for Reasoning About Typicality. Artificial Intelligence 195, 165–202 (2013)
Ke, P., Sattler, U.: Next steps for description logics of minimal knowledge and negation as failure. In: DL 2008. CEUR, vol. 353 (2008)
Kraus, S., Lehmann, D., Magidor, M.: Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence 44(1–2), 167–207 (1990)
Krisnadhi, A.A., Sengupta, K., Hitzler, P.: Local closed world semantics: Keep it simple, stupid! In: DL 2011. CEUR, vol. 745 (2011)
Lehmann, D., Magidor, M.: What does a conditional knowledge base entail? Artificial Intelligence 55(1), 1–60 (1992)
Motik, B., Rosati, R.: Reconciling DLs and rules. J. ACM 57(5) (2010)
Straccia, U.: Default inheritance reasoning in hybrid kl-one-style logics. In: IJCAI 1993, pp. 676–681 (1993)
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Giordano, L., Gliozzi, V., Olivetti, N., Pozzato, G.L., Violanti, L. (2015). A Multi-engine Theorem Prover for a Description Logic of Typicality. In: Gavanelli, M., Lamma, E., Riguzzi, F. (eds) AI*IA 2015 Advances in Artificial Intelligence. AI*IA 2015. Lecture Notes in Computer Science(), vol 9336. Springer, Cham. https://doi.org/10.1007/978-3-319-24309-2_13
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