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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
he182c225e7b19e18
Venue
PODS
Year
2006
Pagerank
0.00010580166
Overall Rank
1,460 | 90.19%
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
501 Dependencies Revisited for Improving Data Quality 2008 PODS 0.00017273167
793 Model Management 2.0: Manipulating Richer Mappings 2007 SIGMOD 0.00013935809
1,505 Generic Schema Matching, Ten Years Later 2011 VLDB 0.00010449986
1,683 The iBench Integration Metadata Generator 2016 VLDB 9.8804382e-05
2,075 Graceful Database Schema Evolution: the PRISM Workbench 2008 VLDB 9.0810058e-05
2,392 Quasi-inverses of Schema Mappings 2007 PODS 8.5327323e-05
2,850 Nested Mappings: Schema Mapping Reloaded 2006 VLDB 7.9384121e-05
2,950 Reverse Data Management 2011 VLDB 7.817636e-05
3,019 The Recovery of a Schema Mapping: Bringing Exchanged Data Back 2008 PODS 7.7434413e-05
4,533 Data Exchange beyond Complete Data 2011 PODS 6.5552806e-05
4,706 Towards a Theory of Schema-Mapping Optimization 2008 PODS 6.4574226e-05
4,897 CWA-Solutions for Data Exchange Settings with Target Dependencies 2007 PODS 6.363076e-05
5,751 Answering Aggregate Queries in Data Exchange 2008 PODS 6.0044594e-05
6,010 Reverse Data Exchange: Coping with Nulls 2009 PODS 5.9119713e-05
6,265 Inverting Schema Mappings: Bridging the Gap between Theory and Practice 2009 VLDB 5.8299552e-05
8,022 Foundations of Schema Mapping Management 2010 PODS 5.4037117e-05
8,157 Schema Independent Relational Learning 2017 SIGMOD 5.387426e-05
8,508 Reflections on Schema Mappings, Data Exchange, and Metadata Management 2018 PODS 5.3269436e-05
9,671 Local Transformations and Conjunctive-Query Equivalence 2012 PODS 5.142891e-05
11,991 Structural Generalizability: The Case of Similarity Search 2021 SIGMOD 4.9769913e-05
12,272 Stable Model Semantics for Tuple-Generating Dependencies Revisited 2017 PODS 4.9769913e-05
12,398 Recovering Exchanged Data 2015 PODS 4.9769913e-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
24 Data Integration: A Theoretical Perspective 2002 PODS 0.00055018384
191 Applying Model Management to Classical Meta Data Problems 2003 CIDR 0.00025757196
392 Data Exchange: Getting to the Core 2003 PODS 0.00019215652
426 Relative Information Capacity of Simple Relational Database Schemata 1984 PODS 0.00018477356
703 Composing Schema Mappings: Second-Order Dependencies to the Rescue 2004 PODS 0.00014653248
1,222 Semantic Adaptation of Schema Mappings when Schemas Evolve 2005 VLDB 0.00011469037
1,811 Supporting Executable Mappings in Model Management 2005 SIGMOD 9.583052e-05
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Semantically Similar Papers

# Overall Rank Paper Year Venue
1 1,522 Composition of Mappings Given by Embedded Dependencies 2005 PODS
2 3,975 On the Complexity of Deriving Schema Mappings from Database Instances 2008 PODS
3 8,022 Foundations of Schema Mapping Management 2010 PODS
4 703 Composing Schema Mappings: Second-Order Dependencies to the Rescue 2004 PODS
5 2,246 Characterizing Schema Mappings via Data Examples 2010 PODS
6 4,706 Towards a Theory of Schema-Mapping Optimization 2008 PODS
7 3,019 The Recovery of a Schema Mapping: Bringing Exchanged Data Back 2008 PODS
8 6,010 Reverse Data Exchange: Coping with Nulls 2009 PODS
9 6,265 Inverting Schema Mappings: Bridging the Gap between Theory and Practice 2009 VLDB
10 2,392 Quasi-inverses of Schema Mappings 2007 PODS