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2015 | OriginalPaper | Buchkapitel

Recent Advances in Datalog\(^\pm \)

verfasst von : Georg Gottlob, Michael Morak, Andreas Pieris

Erschienen in: Reasoning Web. Web Logic Rules

Verlag: Springer International Publishing

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Abstract

This tutorial, which is a continuation of the tutorial “Datalog and Its Extensions for Semantic Web Databases” presented in the Reasoning Web 2012 Summer School, discusses recent advances in the Datalog\(^\pm \) family of languages for knowledge representation and reasoning. These languages extend plain Datalog with key modeling features such as existential quantification (signified by the “+” symbol), and at the same time apply syntactic restrictions to achieve decidability of ontological reasoning and, in some relevant cases, also tractability (signified by the symbol “\(-\)”). In this tutorial, we first introduce the main Datalog\(^\pm \) languages that are based on the well-known notion of guardedness. Then, we discuss how these languages can be extended with important features such as disjunction and default negation.

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Literatur
1.
Zurück zum Zitat Abiteboul, S., Hull, R., Vianu, V.: Foundations of Databases. Addison-Wesley, Boston (1995)MATH Abiteboul, S., Hull, R., Vianu, V.: Foundations of Databases. Addison-Wesley, Boston (1995)MATH
2.
Zurück zum Zitat Alviano, M., Faber, W., Leone, N., Manna, M.: Disjunctive datalog with existential quantifiers: Semantics, decidability, and complexity issues. TPLP 12(4–5), 701–718 (2012)MathSciNetMATH Alviano, M., Faber, W., Leone, N., Manna, M.: Disjunctive datalog with existential quantifiers: Semantics, decidability, and complexity issues. TPLP 12(4–5), 701–718 (2012)MathSciNetMATH
3.
Zurück zum Zitat Alviano, M., Pieris, A.: Default negation for non-guarded existential rules. In: PODS (2015, to appear) Alviano, M., Pieris, A.: Default negation for non-guarded existential rules. In: PODS (2015, to appear)
4.
Zurück zum Zitat Andréka, H., Németi, I., van Benthem, J.: Modal languages and bounded fragments of predicate logic. J. Philos. Logic 27(3), 217–274 (1998)MathSciNetCrossRefMATH Andréka, H., Németi, I., van Benthem, J.: Modal languages and bounded fragments of predicate logic. J. Philos. Logic 27(3), 217–274 (1998)MathSciNetCrossRefMATH
5.
Zurück zum Zitat Arenas, M., Gottlob, G., Pieris, A.: Expressive languages for querying the semantic web. In: PODS, pp. 14–26 (2014) Arenas, M., Gottlob, G., Pieris, A.: Expressive languages for querying the semantic web. In: PODS, pp. 14–26 (2014)
6.
Zurück zum Zitat Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F. (eds.): The Description Logic Handbook: Theory, Implementation, and Applications. Cambridge University Press, Cambridge (2003)MATH Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F. (eds.): The Description Logic Handbook: Theory, Implementation, and Applications. Cambridge University Press, Cambridge (2003)MATH
7.
Zurück zum Zitat Baget, J.F., Leclère, M., Mugnier, M.L., Salvat, E.: On rules with existential variables: Walking the decidability line. Artif. Intell. 175(9–10), 1620–1654 (2011)MathSciNetCrossRefMATH Baget, J.F., Leclère, M., Mugnier, M.L., Salvat, E.: On rules with existential variables: Walking the decidability line. Artif. Intell. 175(9–10), 1620–1654 (2011)MathSciNetCrossRefMATH
8.
Zurück zum Zitat Baget, J., Garreau, F., Mugnier, M., Rocher, S.: Extending acyclicity notions for existential rules. In: ECAI, pp. 39–44 (2014) Baget, J., Garreau, F., Mugnier, M., Rocher, S.: Extending acyclicity notions for existential rules. In: ECAI, pp. 39–44 (2014)
9.
Zurück zum Zitat Bárány, V., Gottlob, G., Otto, M.: Querying the guarded fragment. Log. Meth. Comput. Sci. 10(2) (2014) Bárány, V., Gottlob, G., Otto, M.: Querying the guarded fragment. Log. Meth. Comput. Sci. 10(2) (2014)
10.
Zurück zum Zitat Beeri, C., Vardi, M.Y.: The implication problem for data dependencies. In: ICALP, pp. 73–85 (1981) Beeri, C., Vardi, M.Y.: The implication problem for data dependencies. In: ICALP, pp. 73–85 (1981)
11.
Zurück zum Zitat Bourhis, P., Morak, M., Pieris, A.: The impact of disjunction on query answering under guarded-based existential rules. In: IJCAI (2013) Bourhis, P., Morak, M., Pieris, A.: The impact of disjunction on query answering under guarded-based existential rules. In: IJCAI (2013)
12.
Zurück zum Zitat Calì, A., Gottlob, G., Kifer, M.: Taming the infinite chase: Query answering under expressive relational constraints. J. Artif. Intell. Res. 48, 115–174 (2013)MathSciNetMATH Calì, A., Gottlob, G., Kifer, M.: Taming the infinite chase: Query answering under expressive relational constraints. J. Artif. Intell. Res. 48, 115–174 (2013)MathSciNetMATH
13.
Zurück zum Zitat Calì, A., Gottlob, G., Lukasiewicz, T.: A general datalog-based framework for tractable query answering over ontologies. J. Web Sem. 14, 57–83 (2012)CrossRef Calì, A., Gottlob, G., Lukasiewicz, T.: A general datalog-based framework for tractable query answering over ontologies. J. Web Sem. 14, 57–83 (2012)CrossRef
14.
Zurück zum Zitat Calì, A., Gottlob, G., Lukasiewicz, T., Marnette, B., Pieris, A.: Datalog\(^\pm \): A family of logical knowledge representation and query languages for new applications. In: LICS, pp. 228–242 (2010) Calì, A., Gottlob, G., Lukasiewicz, T., Marnette, B., Pieris, A.: Datalog\(^\pm \): A family of logical knowledge representation and query languages for new applications. In: LICS, pp. 228–242 (2010)
15.
Zurück zum Zitat Calì, A., Gottlob, G., Pieris, A.: Towards more expressive ontology languages: The query answering problem. Artif. Intell. 193, 87–128 (2012)MathSciNetCrossRefMATH Calì, A., Gottlob, G., Pieris, A.: Towards more expressive ontology languages: The query answering problem. Artif. Intell. 193, 87–128 (2012)MathSciNetCrossRefMATH
16.
Zurück zum Zitat Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Tractable reasoning and efficient query answering in description logics: The DL-Lite family. J. Autom. Reasoning 39(3), 385–429 (2007)MathSciNetCrossRefMATH Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Tractable reasoning and efficient query answering in description logics: The DL-Lite family. J. Autom. Reasoning 39(3), 385–429 (2007)MathSciNetCrossRefMATH
17.
Zurück zum Zitat Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Data complexity of query answering in description logics. Artif. Intell. 195, 335–360 (2013)MathSciNetCrossRefMATH Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Data complexity of query answering in description logics. Artif. Intell. 195, 335–360 (2013)MathSciNetCrossRefMATH
18.
Zurück zum Zitat Casanova, M.A., Fagin, R., Papadimitriou, C.H.: Inclusion dependencies and their interaction with functional dependencies. J. Comput. Syst. Sci. 28(1), 29–59 (1984)MathSciNetCrossRefMATH Casanova, M.A., Fagin, R., Papadimitriou, C.H.: Inclusion dependencies and their interaction with functional dependencies. J. Comput. Syst. Sci. 28(1), 29–59 (1984)MathSciNetCrossRefMATH
19.
Zurück zum Zitat Ceri, S., Gottlob, G., Tanca, L.: Logic Programming and Databases. Springer, Heidelberg (1990)CrossRef Ceri, S., Gottlob, G., Tanca, L.: Logic Programming and Databases. Springer, Heidelberg (1990)CrossRef
21.
Zurück zum Zitat Deutsch, A., Tannen, V.: Reformulation of XML queries and constraints. In: Calvanese, D., Lenzerini, M., Motwani, R. (eds.) ICDT 2003. LNCS, vol. 2572, pp. 225–238. Springer, Heidelberg (2002) CrossRef Deutsch, A., Tannen, V.: Reformulation of XML queries and constraints. In: Calvanese, D., Lenzerini, M., Motwani, R. (eds.) ICDT 2003. LNCS, vol. 2572, pp. 225–238. Springer, Heidelberg (2002) CrossRef
22.
Zurück zum Zitat Eiter, T., Gottlob, G., Mannila, H.: Disjunctive datalog. ACM Trans. Database Syst. 22(3), 364–418 (1997)CrossRef Eiter, T., Gottlob, G., Mannila, H.: Disjunctive datalog. ACM Trans. Database Syst. 22(3), 364–418 (1997)CrossRef
23.
Zurück zum Zitat Eiter, T., Leone, N., Mateis, C., Pfeifer, G., Scarcello, F.: A deductive system for non-monotonic reasoning. In: LPNMR, pp. 364–375 (1997) Eiter, T., Leone, N., Mateis, C., Pfeifer, G., Scarcello, F.: A deductive system for non-monotonic reasoning. In: LPNMR, pp. 364–375 (1997)
24.
Zurück zum Zitat Eiter, T., Simkus, M.: FDNC: decidable nonmonotonic disjunctive logic programs with function symbols. ACM Trans. Comput. Log., 11(2) (2010) Eiter, T., Simkus, M.: FDNC: decidable nonmonotonic disjunctive logic programs with function symbols. ACM Trans. Comput. Log., 11(2) (2010)
25.
Zurück zum Zitat Gebser, M., Kaufmann, B., Kaminski, R., Ostrowski, M., Schaub, T., Schneider, M.T.: Potassco: The potsdam answer set solving collection. AI Commun. 24(2), 107–124 (2011)MathSciNetMATH Gebser, M., Kaufmann, B., Kaminski, R., Ostrowski, M., Schaub, T., Schneider, M.T.: Potassco: The potsdam answer set solving collection. AI Commun. 24(2), 107–124 (2011)MathSciNetMATH
26.
Zurück zum Zitat Gottlob, G., Hernich, A., Kupke, C., Lukasiewicz, T.: Stable model semantics for guarded existential rules and description logics. In: KR Gottlob, G., Hernich, A., Kupke, C., Lukasiewicz, T.: Stable model semantics for guarded existential rules and description logics. In: KR
27.
Zurück zum Zitat Gottlob, G., Hernich, A., Kupke, C., Lukasiewicz, T.: Equality-friendly well-founded semantics and applications to description logics. In: AAAI (2012) Gottlob, G., Hernich, A., Kupke, C., Lukasiewicz, T.: Equality-friendly well-founded semantics and applications to description logics. In: AAAI (2012)
28.
Zurück zum Zitat Gottlob, G., Manna, M., Morak, M., Pieris, A.: On the complexity of ontological reasoning under disjunctive existential rules. In: Rovan, B., Sassone, V., Widmayer, P. (eds.) MFCS 2012. LNCS, vol. 7464, pp. 1–18. Springer, Heidelberg (2012) CrossRef Gottlob, G., Manna, M., Morak, M., Pieris, A.: On the complexity of ontological reasoning under disjunctive existential rules. In: Rovan, B., Sassone, V., Widmayer, P. (eds.) MFCS 2012. LNCS, vol. 7464, pp. 1–18. Springer, Heidelberg (2012) CrossRef
29.
Zurück zum Zitat Gottlob, G., Orsi, G., Pieris, A., Šimkus, M.: Datalog and its extensions for semantic web databases. In: Eiter, T., Krennwallner, T. (eds.) Reasoning Web 2012. LNCS, vol. 7487, pp. 54–77. Springer, Heidelberg (2012) Gottlob, G., Orsi, G., Pieris, A., Šimkus, M.: Datalog and its extensions for semantic web databases. In: Eiter, T., Krennwallner, T. (eds.) Reasoning Web 2012. LNCS, vol. 7487, pp. 54–77. Springer, Heidelberg (2012)
31.
Zurück zum Zitat Hernich, A., Kupke, C., Lukasiewicz, T., Gottlob, G.: Well-founded semantics for extended datalog and ontological reasoning. In: PODS, pp. 225–236 (2013) Hernich, A., Kupke, C., Lukasiewicz, T., Gottlob, G.: Well-founded semantics for extended datalog and ontological reasoning. In: PODS, pp. 225–236 (2013)
32.
33.
Zurück zum Zitat Magka, D., Krötzsch, M., Horrocks, I.: Computing stable models for nonmonotonic existential rules. In: IJCAI (2013) Magka, D., Krötzsch, M., Horrocks, I.: Computing stable models for nonmonotonic existential rules. In: IJCAI (2013)
34.
Zurück zum Zitat Morak, M.: The Impact of Disjunction on Reasoning under Existential Rules. Ph.D. Thesis, University of Oxford, Oxford, Oxfordshire, UK (2015) Morak, M.: The Impact of Disjunction on Reasoning under Existential Rules. Ph.D. Thesis, University of Oxford, Oxford, Oxfordshire, UK (2015)
35.
Zurück zum Zitat Patel-Schneider, P.F., Horrocks, I.: A comparison of two modelling paradigms in the semantic web. J. Web Sem. 5(4), 240–250 (2007)CrossRef Patel-Schneider, P.F., Horrocks, I.: A comparison of two modelling paradigms in the semantic web. J. Web Sem. 5(4), 240–250 (2007)CrossRef
36.
Zurück zum Zitat Vardi, M.Y.: On the complexity of bounded-variable queries. In: PODS, pp. 266–276 (1995) Vardi, M.Y.: On the complexity of bounded-variable queries. In: PODS, pp. 266–276 (1995)
Metadaten
Titel
Recent Advances in Datalog
verfasst von
Georg Gottlob
Michael Morak
Andreas Pieris
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-21768-0_8

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