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Inverting Schema Mappings

Summary: Introduce S-inverse: M' inverts M relative to a source-class S when composition M;M' equals identity on S, capturing inverses for nondeterministic source-to-target TGD mappings. Provide constructions when S has a finite-chase dependency specification (including global inverses) and an algorithm to compute the largest S for which M' is an S-inverse. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID
1375
Venue
PODS
Year
2006
Pagerank
0.00010814403
Overall Rank
1,426 | 90.22%
DOI
10.1145/1142351.1142359

Incoming Non-self Citations Over Time

Authors

BibTeX Citation

@inproceedings{fagin_pods06,
        address = {New York, NY, USA},
        series = {{PODS} '06},
        title = {{Inverting Schema Mappings}},
        url = {https://dl.acm.org/doi/10.1145/1142351.1142359},
        doi = {10.1145/1142351.1142359},
        booktitle = {Proceedings of the {ACM} {SIGMOD} Symposium on {Principles} of {Database} {Systems}},
        publisher = {Association for Computing Machinery},
        author = {Fagin, Ronald},
        year = {2006}
}

Incoming Citations (Sorted by Pagerank)

Showing 22 of 22 citing papers.

Rank Citing Paper Year Venue Pagerank
494 Dependencies Revisited for Improving Data Quality 2008 PODS 0.00017526549
762 Model Management 2.0: Manipulating Richer Mappings 2007 SIGMOD 0.00014231163
1,497 Generic Schema Matching, Ten Years Later 2011 VLDB 0.00010568859
1,652 The iBench Integration Metadata Generator 2016 VLDB 0.00010109142
2,038 Graceful Database Schema Evolution: the PRISM Workbench 2008 VLDB 9.2727673e-05
2,339 Quasi-inverses of Schema Mappings 2007 PODS 8.7249825e-05
2,785 Nested Mappings: Schema Mapping Reloaded 2006 VLDB 8.1236628e-05
2,914 Reverse Data Management 2011 VLDB 7.9667467e-05
2,954 The Recovery of a Schema Mapping: Bringing Exchanged Data Back 2008 PODS 7.9234704e-05
4,432 Data Exchange beyond Complete Data 2011 PODS 6.7087209e-05
4,608 Towards a Theory of Schema-Mapping Optimization 2008 PODS 6.6082619e-05
4,794 CWA-Solutions for Data Exchange Settings with Target Dependencies 2007 PODS 6.5038715e-05
5,624 Answering Aggregate Queries in Data Exchange 2008 PODS 6.145135e-05
5,886 Reverse Data Exchange: Coping with Nulls 2009 PODS 6.0503367e-05
6,130 Inverting Schema Mappings: Bridging the Gap between Theory and Practice 2009 VLDB 5.9665863e-05
7,859 Foundations of Schema Mapping Management 2010 PODS 5.5303517e-05
7,985 Schema Independent Relational Learning 2017 SIGMOD 5.5125969e-05
8,348 Reflections on Schema Mappings, Data Exchange, and Metadata Management 2018 PODS 5.4469775e-05
9,483 Local Transformations and Conjunctive-Query Equivalence 2012 PODS 5.2634238e-05
11,678 Structural Generalizability: The Case of Similarity Search 2021 SIGMOD 5.093636e-05
11,968 Stable Model Semantics for Tuple-Generating Dependencies Revisited 2017 PODS 5.093636e-05
12,099 Recovering Exchanged Data 2015 PODS 5.093636e-05
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Outgoing Citations (Sorted by Pagerank)

Showing 7 of 7 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

Rank Cited Paper Year Venue Pagerank
22 Data Integration: A Theoretical Perspective 2002 PODS 0.00056204792
183 Applying Model Management to Classical Meta Data Problems 2003 CIDR 0.00026283359
377 Data Exchange: Getting to the Core 2003 PODS 0.00019643793
413 Relative Information Capacity of Simple Relational Database Schemata 1984 PODS 0.00018894294
685 Composing Schema Mappings: Second-Order Dependencies to the Rescue 2004 PODS 0.00014979915
1,194 Semantic Adaptation of Schema Mappings when Schemas Evolve 2005 VLDB 0.00011730556
1,770 Supporting Executable Mappings in Model Management 2005 SIGMOD 9.7967596e-05
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Semantically Similar Papers

# Overall Rank Paper Year Venue
1 1,491 Composition of Mappings Given by Embedded Dependencies 2005 PODS
2 3,942 On the Complexity of Deriving Schema Mappings from Database Instances 2008 PODS
3 7,859 Foundations of Schema Mapping Management 2010 PODS
4 685 Composing Schema Mappings: Second-Order Dependencies to the Rescue 2004 PODS
5 2,215 Characterizing Schema Mappings via Data Examples 2010 PODS
6 4,608 Towards a Theory of Schema-Mapping Optimization 2008 PODS
7 2,954 The Recovery of a Schema Mapping: Bringing Exchanged Data Back 2008 PODS
8 5,886 Reverse Data Exchange: Coping with Nulls 2009 PODS
9 6,130 Inverting Schema Mappings: Bridging the Gap between Theory and Practice 2009 VLDB
10 2,339 Quasi-inverses of Schema Mappings 2007 PODS