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2016 | OriginalPaper | Buchkapitel

Negative Knowledge for Certain Query Answers

verfasst von : Leonid Libkin

Erschienen in: Web Reasoning and Rule Systems

Verlag: Springer International Publishing

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Abstract

Querying incomplete data usually amounts to finding answers we are certain about. Standard approaches concentrate on positive information about query answers, and miss negative knowledge, which can be useful for two reasons. First, sometimes it is the only type of knowledge one can infer with certainty, and second, it may help one find good and efficient approximations of positive certain answers. Our goal is to consider a framework for defining both positive and negative certain knowledge about query answers and to show two applications of it. First, we demonstrate that it naturally leads to a way of representing certain information that has hitherto not been used in querying incomplete databases. Second, we show that approximations of such certain information can be computed efficiently for all first-order queries over relational databases.

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Literatur
1.
Zurück zum Zitat Abiteboul, S., Kanellakis, P., Grahne, G.: On the representation and querying of sets of possible worlds. Theoret. Comput. Sci. 78(1), 158–187 (1991)MathSciNetMATH Abiteboul, S., Kanellakis, P., Grahne, G.: On the representation and querying of sets of possible worlds. Theoret. Comput. Sci. 78(1), 158–187 (1991)MathSciNetMATH
2.
Zurück zum Zitat Abiteboul, S., Hull, R., Vianu, V.: Foundations of Databases. Addison-Wesley, Reading (1995)MATH Abiteboul, S., Hull, R., Vianu, V.: Foundations of Databases. Addison-Wesley, Reading (1995)MATH
3.
Zurück zum Zitat Abiteboul, S., Segoufin, L., Vianu, V.: Representing and querying XML with incomplete information. ACM TODS 31(1), 208–254 (2006)CrossRef Abiteboul, S., Segoufin, L., Vianu, V.: Representing and querying XML with incomplete information. ACM TODS 31(1), 208–254 (2006)CrossRef
4.
Zurück zum Zitat Arenas, M., Barceló, P., Libkin, L., Murlak, F.: Foundations of Data Exchange. Cambridge University Press, Cambridge (2014)MATH Arenas, M., Barceló, P., Libkin, L., Murlak, F.: Foundations of Data Exchange. Cambridge University Press, Cambridge (2014)MATH
7.
Zurück zum Zitat Bertossi, L.: Database Repairing and Consistent Query Answering. Morgan & Claypool Publishers, San Rafael (2011) Bertossi, L.: Database Repairing and Consistent Query Answering. Morgan & Claypool Publishers, San Rafael (2011)
8.
Zurück zum Zitat Bienvenu, M., ten Cate, B., Lutz, C., Wolter, F.: Ontology-based data access: a study through disjunctive datalog, CSP, and MMSNP. ACM TODS 39(4), 1–44 (2014)MathSciNetCrossRef Bienvenu, M., ten Cate, B., Lutz, C., Wolter, F.: Ontology-based data access: a study through disjunctive datalog, CSP, and MMSNP. ACM TODS 39(4), 1–44 (2014)MathSciNetCrossRef
9.
Zurück zum Zitat Buneman, P., Jung, A., Ohori, A.: Using power domains to generalize relational databases. Theoret. Comput. Sci. 91(1), 23–55 (1991)MathSciNetCrossRefMATH Buneman, P., Jung, A., Ohori, A.: Using power domains to generalize relational databases. Theoret. Comput. Sci. 91(1), 23–55 (1991)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Calì, A., Lembo, D., Rosati, R.: On the decidability and complexity of query answering over inconsistent and incomplete databases. In: PODS, pp. 260–271 (2003) Calì, A., Lembo, D., Rosati, R.: On the decidability and complexity of query answering over inconsistent and incomplete databases. In: PODS, pp. 260–271 (2003)
11.
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
13.
Zurück zum Zitat Console, M., Guagliardo, P., Libkin, L.: Approximations and refinements of certain answers via many-valued logics. In: KR 2016, pp. 349–358 (2016) Console, M., Guagliardo, P., Libkin, L.: Approximations and refinements of certain answers via many-valued logics. In: KR 2016, pp. 349–358 (2016)
14.
Zurück zum Zitat Date, C.J., Darwen, H.: A Guide to the SQL Standard. Addison-Wesley, Reading (1996) Date, C.J., Darwen, H.: A Guide to the SQL Standard. Addison-Wesley, Reading (1996)
15.
Zurück zum Zitat Fink, R., Olteanu, D.: On the optimal approximation of queries using tractable propositional languages. In: ICDT, pp. 174–185 (2011) Fink, R., Olteanu, D.: On the optimal approximation of queries using tractable propositional languages. In: ICDT, pp. 174–185 (2011)
16.
Zurück zum Zitat Garofalakis, M., Gibbons, P.: Approximate query processing: taming the terabytes. In: VLDB (2001) Garofalakis, M., Gibbons, P.: Approximate query processing: taming the terabytes. In: VLDB (2001)
17.
Zurück zum Zitat Gheerbrant, A., Libkin, L., Sirangelo, C.: Naïve evaluation of queries over incomplete databases. ACM TODS 39(4), 231 (2014)MathSciNetCrossRef Gheerbrant, A., Libkin, L., Sirangelo, C.: Naïve evaluation of queries over incomplete databases. ACM TODS 39(4), 231 (2014)MathSciNetCrossRef
18.
Zurück zum Zitat Gheerbrant, A., Libkin, L.: Certain answers over incomplete XML documents: extending tractability boundary. Theory Comput. Syst. 57(4), 892–926 (2015)MathSciNetCrossRefMATH Gheerbrant, A., Libkin, L.: Certain answers over incomplete XML documents: extending tractability boundary. Theory Comput. Syst. 57(4), 892–926 (2015)MathSciNetCrossRefMATH
19.
Zurück zum Zitat Guagliardo, P., Libkin, L.: Making SQL queries correct on incomplete databases: a feasibility study. In: PODS 2016, pp. 211–223 (2016) Guagliardo, P., Libkin, L.: Making SQL queries correct on incomplete databases: a feasibility study. In: PODS 2016, pp. 211–223 (2016)
20.
Zurück zum Zitat Gunter, C.: Semantics of Programming Languages. The MIT Press, Cambridge (1992)MATH Gunter, C.: Semantics of Programming Languages. The MIT Press, Cambridge (1992)MATH
21.
Zurück zum Zitat Herschel, M., Hernández, M.: Explaining missing answers to SPJUA queries. PVLDB 3(1), 185–196 (2010) Herschel, M., Hernández, M.: Explaining missing answers to SPJUA queries. PVLDB 3(1), 185–196 (2010)
23.
Zurück zum Zitat Ioannidis, Y.: Approximations in database systems. In: Calvanese, D., Lenzerini, M., Motwani, R. (eds.) ICDT 2003. LNCS, vol. 2572, pp. 16–30. Springer, Heidelberg (2002)CrossRef Ioannidis, Y.: Approximations in database systems. In: Calvanese, D., Lenzerini, M., Motwani, R. (eds.) ICDT 2003. LNCS, vol. 2572, pp. 16–30. Springer, Heidelberg (2002)CrossRef
24.
Zurück zum Zitat Klein, H.: On the use of marked nulls for the evaluation of queries against incomplete relational databases. In: Polle, T., Ripke, T., Schewe, K. (eds.) Fundamentals of Information Systems, pp. 81–98. Springer, New York (1999)CrossRef Klein, H.: On the use of marked nulls for the evaluation of queries against incomplete relational databases. In: Polle, T., Ripke, T., Schewe, K. (eds.) Fundamentals of Information Systems, pp. 81–98. Springer, New York (1999)CrossRef
25.
Zurück zum Zitat Kontchakov, R., Lutz, C., Toman, D., Wolter, F., Zakharyaschev, M.: The combined approach to ontology-based data access. In: IJCAI, pp. 2656–2661 (2011) Kontchakov, R., Lutz, C., Toman, D., Wolter, F., Zakharyaschev, M.: The combined approach to ontology-based data access. In: IJCAI, pp. 2656–2661 (2011)
26.
Zurück zum Zitat Lenzerini, M.: Data integration: a theoretical perspective. In: ACM Symposium on Principles of Database Systems (PODS), pp. 233–246 (2002) Lenzerini, M.: Data integration: a theoretical perspective. In: ACM Symposium on Principles of Database Systems (PODS), pp. 233–246 (2002)
27.
Zurück zum Zitat Levesque, H.: A completeness result for reasoning with incomplete first-order knowledge bases. In: KR, pp. 14–23 (1998) Levesque, H.: A completeness result for reasoning with incomplete first-order knowledge bases. In: KR, pp. 14–23 (1998)
30.
Zurück zum Zitat Lipski, W.: On semantic issues connected with incomplete information databases. ACM TODS 4(3), 262–296 (1979)CrossRef Lipski, W.: On semantic issues connected with incomplete information databases. ACM TODS 4(3), 262–296 (1979)CrossRef
31.
Zurück zum Zitat Lipski, W.: On relational algebra with marked nulls. In: PODS 1984, pp. 201–203 (1984) Lipski, W.: On relational algebra with marked nulls. In: PODS 1984, pp. 201–203 (1984)
32.
Zurück zum Zitat Liu, Y., Levesque, H.: A tractability result for reasoning with incomplete first-order knowledge bases. In: IJCAI, pp. 83–88 (2003) Liu, Y., Levesque, H.: A tractability result for reasoning with incomplete first-order knowledge bases. In: IJCAI, pp. 83–88 (2003)
33.
Zurück zum Zitat Reiter, R.: Towards a logical reconstruction of relational database theory. In: Brodie, M.L., Mylopoulos, J., Schmidt, J.W. (eds.) On Conceptual Modelling, pp. 191–233. Springer, New York (1982) Reiter, R.: Towards a logical reconstruction of relational database theory. In: Brodie, M.L., Mylopoulos, J., Schmidt, J.W. (eds.) On Conceptual Modelling, pp. 191–233. Springer, New York (1982)
34.
Zurück zum Zitat Reiter, R.: A sound and sometimes complete query evaluation algorithm for relational databases with null values. J. ACM 33(2), 349–370 (1986)MathSciNetCrossRef Reiter, R.: A sound and sometimes complete query evaluation algorithm for relational databases with null values. J. ACM 33(2), 349–370 (1986)MathSciNetCrossRef
35.
Zurück zum Zitat Rosati, R.: On the decidability and finite controllability of query processing in databases with incomplete information. In: PODS, pp. 356–365 (2006) Rosati, R.: On the decidability and finite controllability of query processing in databases with incomplete information. In: PODS, pp. 356–365 (2006)
36.
Zurück zum Zitat Shmueli, O., Tsur, S.: Logical diagnosis of LDL programs. In: ICLP, pp. 112–129 (1990) Shmueli, O., Tsur, S.: Logical diagnosis of LDL programs. In: ICLP, pp. 112–129 (1990)
Metadaten
Titel
Negative Knowledge for Certain Query Answers
verfasst von
Leonid Libkin
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-45276-0_9

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