?. For-any-n and . Nodes, if test(n) = C then test(h(n)) = C 4. calcul de ?, la FND de h?H ?(h(Q)) (?(h(Q)) représente la provenance de l'image)

F. Afrati, M. Damigos, and M. Gergatsoulis, Union rewritings for XPath fragments, Proceedings of the 15th Symposium on International Database Engineering & Applications, IDEAS '11, pp.43-51, 2011.
DOI : 10.1145/2076623.2076630

F. N. Afrati, R. Chirkova, M. Gergatsoulis, and V. Pavlaki, Finding Equivalent Rewritings in the Presence of Arithmetic Comparisons, EDBT, pp.942-960, 2006.
DOI : 10.1007/11687238_55

F. N. Afrati, C. Li, and P. Mitra, Answering queries using views with arithmetic comparisons, Proceedings of the twenty-first ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems , PODS '02, 2002.
DOI : 10.1145/543613.543641

URL : http://www.ics.uci.edu/~chenli/pub/alm-short.ps

A. Arasu and H. Garcia-molina, Extracting structured data from Web pages, Proceedings of the 2003 ACM SIGMOD international conference on on Management of data , SIGMOD '03, 2003.
DOI : 10.1145/872757.872799

URL : http://csdl.computer.org/comp/proceedings/icde/2003/2071/00/20710698.pdf

P. Aravogliadis and V. Vassalos, On Equivalence and Rewriting of XPath Queries Using Views under DTD Constraints, pp.1-16, 2011.
DOI : 10.1007/978-3-642-00887-0_36

A. Balmin, F. Özcan, K. S. Beyer, R. Cochrane, and H. Pirahesh, A Framework for Using Materialized XPath Views in XML Query Processing, VLDB, pp.60-71, 2004.
DOI : 10.1016/B978-012088469-8.50009-7

R. G. Bello, K. Dias, A. Downing, J. Feenan, J. L. Finnerty et al., Materialized views in Oracle, VLDB, pp.659-664, 1998.

M. Benedikt, W. Fan, and F. Geerts, XPath satisfiability in the presence of DTDs, PODS, pp.25-36, 2005.

M. Benedikt, W. Fan, and G. Kuper, Structural properties of XPath fragments, Theoretical Computer Science, vol.336, issue.1, pp.3-31, 2005.
DOI : 10.1016/j.tcs.2004.10.030

URL : https://doi.org/10.1016/j.tcs.2004.10.030

M. Benedikt, B. Cate, and E. Tsamoura, Generating low-cost plans from proofs, Proceedings of the 33rd ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, PODS '14, 2014.
DOI : 10.1145/2594538.2594550

S. Boag, D. Chamberlain, M. F. Fernández, D. Florescu, J. Robie et al., XQuery 1.0: An XML query language, 2007.

P. Buneman, S. Khanna, and W. C. Tan, Why and Where: A Characterization of Data Provenance, ICDT, pp.316-330, 2001.
DOI : 10.1007/3-540-44503-X_20

D. Cai, S. Yu, J. Wen, and W. Ma, Extracting Content Structure for Web Pages Based on Visual Representation, APWeb, 2003.
DOI : 10.1007/3-540-36901-5_42

B. Cautis, A. Deutsch, and N. Onose, Xpath rewriting using multiple views: Achieving completeness and efficiency, 11th International Workshop on the Web and Databases, 2008.

A. K. Chandra and P. M. Merlin, Optimal implementation of conjunctive queries in relational data bases, Proceedings of the ninth annual ACM symposium on Theory of computing , STOC '77, 1977.
DOI : 10.1145/800105.803397

L. Chen and E. A. Rundensteiner, XCache, Proceedings of the 2002 ACM SIGMOD international conference on Management of data , SIGMOD '02, pp.31-36, 2002.
DOI : 10.1145/564691.564771

L. J. Chen and Y. Papakonstantinou, Supporting top-K keyword search in XML databases, 2010 IEEE 26th International Conference on Data Engineering (ICDE 2010), 2010.
DOI : 10.1109/ICDE.2010.5447818

URL : http://www.db.ucsd.edu/pubsFileFolder/337.pdf

S. Cohen, W. Nutt, and Y. Sagiv, Rewriting queries with arbitrary aggregation functions using views, ACM Transactions on Database Systems, vol.31, issue.2, p.31, 2006.
DOI : 10.1145/1138394.1138400

V. Crescenzi, G. Mecca, and P. Merialdo, RoadRunner, Proceedings of the 2002 ACM SIGMOD international conference on Management of data , SIGMOD '02, 2001.
DOI : 10.1145/564691.564778

D. Dehaan, Equivalence of nested queries with mixed semantics, Proceedings of the twenty-eighth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, PODS '09, pp.207-216, 2009.
DOI : 10.1145/1559795.1559828

N. Derouiche, Recherche des objets complexes dans le web structuré, 2012.

N. Derouiche, B. Cautis, and T. Abdessalem, Automatic Extraction of Structured Web Data with Domain Knowledge, 2012 IEEE 28th International Conference on Data Engineering, pp.726-737, 2012.
DOI : 10.1109/ICDE.2012.90

A. Deutsch and R. Hull, Provenance-Directed Chase&Backchase, Search of Elegance in the Theory and Practice of Computation -Essays Dedicated to Peter Buneman, 2013.
DOI : 10.1007/978-3-642-41660-6_11

A. Deutsch, L. Popa, and V. Tannen, Physical data independence, constraints, and optimization with universal plans, VLDB, 1999.

A. Deutsch, L. Popa, and V. Tannen, Query reformulation with constraints, ACM SIGMOD Record, vol.35, issue.1, pp.65-73, 2006.
DOI : 10.1145/1121995.1122010

A. Deutsch and V. Tannen, MARS, VLDB, pp.201-212, 2003.
DOI : 10.1016/B978-012722442-8/50026-4

A. Deutsch and V. Tannen, MARS, VLDB, pp.201-212, 2003.
DOI : 10.1016/B978-012722442-8/50026-4

A. Deutsch and V. Tannen, Reformulation of XML Queries and Constraints, ICDT, 2003.
DOI : 10.1007/3-540-36285-1_15

R. Fagin, Horn clauses and database dependencies, Journal of the ACM, vol.29, issue.4, 1982.
DOI : 10.1145/322344.322347

URL : http://www.almaden.ibm.com/cs/people/fagin/jacm82.pdf

R. Fagin, P. G. Kolaitis, R. J. Miller, and L. Popa, Data exchange: Semantics and query answering, ICDT, 2003.
DOI : 10.1007/3-540-36285-1_14

W. Fan, F. Geerts, X. Jia, and A. Kementsietsidis, Rewriting Regular XPath Queries on XML Views, 2007 IEEE 23rd International Conference on Data Engineering, pp.666-675, 2007.
DOI : 10.1109/ICDE.2007.367912

D. Florescu, A. Y. Levy, I. Manolescu, and D. Suciu, Query optimization in the presence of limited access patterns, SIGMOD, pp.311-322, 1999.
URL : https://hal.archives-ouvertes.fr/inria-00073035

J. Goldstein and P. Larson, Optimizing queries using materialized views: A practical, scalable solution, SIGMOD, 2001.
DOI : 10.1145/375663.375706

G. Gottlob, C. Koch, K. U. Schulz38-]-t, G. Green, V. Karvounarakis et al., Conjunctive queries over trees Provenance semirings XPath query simplification with regard to the elimination of intersect and except operators, PODS PODS ICDE Workshops, pp.31-40, 2004.

A. Halevy, Answering queries using views: A survey, The VLDB Journal, vol.10, issue.4, 2001.
DOI : 10.1007/s007780100054

J. Hidders, Satisfiability of XPath Expressions, DBPL, pp.21-36, 2003.
DOI : 10.1007/978-3-540-24607-7_3

I. Ileana, B. Cautis, A. Deutsch, and Y. Katsis, Complete yet practical search for minimal query reformulations under constraints, Proceedings of the 2014 ACM SIGMOD international conference on Management of data, SIGMOD '14, 2014.
DOI : 10.1145/2588555.2593683

URL : https://hal.archives-ouvertes.fr/hal-01086494

P. Koutris, P. Upadhyaya, M. Balazinska, B. Howe, and D. Suciu, Query-based data pricing, PODS, pp.167-178, 2012.
DOI : 10.1145/2213556.2213582

URL : http://www.cs.washington.edu/homes/magda/papers/koutris-pods12.pdf

P. Larson, J. Goldstein, H. Guo, and J. Zhou, MTCache: transparent mid-tier database caching in SQL server, Proceedings. 20th International Conference on Data Engineering, 2004.
DOI : 10.1109/ICDE.2004.1319994

M. Levene and G. Loizou, Why is the snowflake schema a good data warehouse design?, Information Systems, vol.28, issue.3, pp.225-240, 2003.
DOI : 10.1016/S0306-4379(02)00021-2

A. Y. Levy, A. O. Mendelzon, Y. Sagiv, and D. Srivastava, Answering queries using views, PODS, pp.95-104, 1995.

A. Y. Levy, A. Rajaraman, and J. D. Ullman, Answering Queries Using Limited External Query Processors, Journal of Computer and System Sciences, vol.58, issue.1, 1999.
DOI : 10.1006/jcss.1998.1599

URL : https://doi.org/10.1006/jcss.1998.1599

B. Mandhani and D. Suciu, Query caching and view selection for XML databases, VLDB, pp.469-480, 2005.

I. Manolescu, K. Karanasos, V. Vassalos, and S. Zoupanos, Efficient XQuery rewriting using multiple views, 2011 IEEE 27th International Conference on Data Engineering, pp.972-983, 2011.
DOI : 10.1109/ICDE.2011.5767915

URL : https://hal.archives-ouvertes.fr/inria-00544366

B. Marnette, Generalized schema-mappings, Proceedings of the twenty-eighth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems, PODS '09, pp.13-22, 2009.
DOI : 10.1145/1559795.1559799

B. Marnette and F. Geerts, Static analysis of schema-mappings ensuring oblivious termination, Proceedings of the 13th International Conference on Database Theory, ICDT '10, pp.183-195, 2010.
DOI : 10.1145/1804669.1804694

M. Meier, M. Schmidt, and G. Lausen, On chase termination beyond stratification, Proceedings of the VLDB Endowment, vol.2, issue.1, pp.970-981, 2009.
DOI : 10.14778/1687627.1687737

G. Miklau and D. Suciu, Containment and equivalence for a fragment of XPath, Journal of the ACM, vol.51, issue.1, pp.2-45, 2004.
DOI : 10.1145/962446.962448

A. Motro, An access authorization model for relational databases based on algebraic manipulation of view definitions, [1989] Proceedings. Fifth International Conference on Data Engineering, 1989.
DOI : 10.1109/ICDE.1989.47234

A. Nash and B. Ludäscher, Processing first-order queries under limited access patterns, Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems , PODS '04, 2004.
DOI : 10.1145/1055558.1055601

N. Onose, Uncovering the full potential of data services, 2009.

N. Onose, A. Deutsch, Y. Papakonstantinou, and E. Curtmola, Rewriting nested XML queries using nested views, Proceedings of the 2006 ACM SIGMOD international conference on Management of data , SIGMOD '06, 2006.
DOI : 10.1145/1142473.1142524

URL : http://www.cse.ucsd.edu/~nonose/publications/2006/nextrewrite.pdf

N. Onose, A. Deutsch, Y. Papakonstantinou, and E. Curtmola, Rewriting nested XML queries using nested views, Proceedings of the 2006 ACM SIGMOD international conference on Management of data , SIGMOD '06, pp.443-454, 2006.
DOI : 10.1145/1142473.1142524

URL : http://www.cse.ucsd.edu/~nonose/publications/2006/nextrewrite.pdf

L. Popa, Object/relational Query Optimization with Chase and Backchase, 2000.

L. Popa, A. Deutsch, A. Sahuguet, and V. Tannen, A chase too far? In SIGMOD, pp.273-284, 2000.
DOI : 10.1145/342009.335421

S. Rizvi, A. O. Mendelzon, S. Sudarshan, and P. Roy, Extending query rewriting techniques for fine-grained access control, Proceedings of the 2004 ACM SIGMOD international conference on Management of data , SIGMOD '04, pp.551-562, 2004.
DOI : 10.1145/1007568.1007631

A. Schmidt, F. Waas, M. L. Kersten, M. J. Carey, I. Manolescu et al., XMark, VLDB, pp.974-985, 2002.
DOI : 10.1016/B978-155860869-6/50096-2

D. Srivastava, S. Dar, H. V. Jagadish, and A. Y. Levy, Answering queries with aggregation using views, VLDB, 1996.

J. Tang and S. Zhou, A Theoretic Framework for Answering XPath Queries Using Views, XSym, pp.18-33, 2005.
DOI : 10.1007/11547273_3

B. Cate and C. Lutz, The complexity of query containment in expressive fragments of XPath 2.0, PODS, pp.73-82, 2007.
DOI : 10.1145/1568318.1568321

X. Wu, D. Theodoratos, and W. H. Wang, Answering XML queries using materialized views revisited, Proceeding of the 18th ACM conference on Information and knowledge management, CIKM '09, pp.475-484, 2009.
DOI : 10.1145/1645953.1646015

W. Xu and Z. M. Özsoyoglu, Rewriting XPath queries using materialized views, VLDB, pp.121-132, 2005.

L. H. Yang, M. L. Lee, and W. Hsu, Efficient Mining of XML Query Patterns for Caching, VLDB, pp.69-80, 2003.
DOI : 10.1016/B978-012722442-8/50015-X

C. Yu and L. Popa, Constraint-based XML query rewriting for data integration, Proceedings of the 2004 ACM SIGMOD international conference on Management of data , SIGMOD '04, pp.371-382, 2004.
DOI : 10.1145/1007568.1007611

URL : http://www.eecs.umich.edu/~congy/work/sigmod04.pdf

M. Zaharioudakis, R. Cochrane, G. Lapis, H. Pirahesh, and M. Urata, Answering complex SQL queries using automatic summary tables, SIGMOD, pp.105-116, 2000.
DOI : 10.1145/342009.335390

Y. Zhai and B. Liu, Web data extraction based on partial tree alignment, Proceedings of the 14th international conference on World Wide Web , WWW '05, 2005.
DOI : 10.1145/1060745.1060761

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.66.277