Quasi-inverses of Schema Mappings

Summary: Introduce quasi-inverse, a relaxation of inverse that quotients instances equivalent for data exchange; give a necessary-and-sufficient combinatorial criterion for s-t tgds, showing LAV mappings always have quasi-inverses while some full s-t tgds do not. Characterize the languages needed to express quasi-inverses and inverses (resolving an open problem) and show quasi-inverses can often recover exported data in data-exchange scenarios. (summarized by gpt-5-mini on Feb 09 2026)

Paper ID: 1422
Venue: PODS
Year: 2007
Pagerank: 8.2836784e-05
Overall Rank: 2,694 | 81.28%
DOI: -

Incoming Non-self Citations Over Time

Authors

Incoming Citations (Sorted by Pagerank)

Showing 17 of 17 citing papers.

Rank	Citing Paper	Year	Venue	Pagerank
1,075	Model Management 2.0: Manipulating Richer Mappings	2007	SIGMOD	0.00014233255
1,527	Generic Schema Matching, Ten Years Later	2011	VLDB	0.00011494604
1,677	Graceful Database Schema Evolution: the PRISM Workbench	2008	VLDB	0.00010929631
3,008	Update Rewriting and Integrity Constraint Maintenance in a Schema Evolution Support System: PRISM++	2011	VLDB	7.72402e-05
3,388	The Recovery of a Schema Mapping: Bringing Exchanged Data Back	2008	PODS	7.1502016e-05
3,922	On the Complexity of Deriving Schema Mappings from Database Instances	2008	PODS	6.6238781e-05
4,980	Towards a Theory of Schema-Mapping Optimization	2008	PODS	5.7825422e-05
5,727	Query Processing under GLAV Mappings for Relational and Graph Databases	2013	VLDB	5.3501787e-05
5,775	Data Exchange beyond Complete Data	2011	PODS	5.3282847e-05
5,901	Answering Aggregate Queries in Data Exchange	2008	PODS	5.2791434e-05
6,146	Reverse Data Exchange: Coping with Nulls	2009	PODS	5.1840756e-05
6,272	Classification of Annotation Semirings over Query Containment	2012	PODS	5.1271971e-05
6,346	Inverting Schema Mappings: Bridging the Gap between Theory and Practice	2009	VLDB	5.0969624e-05
7,650	Foundations of Schema Mapping Management	2010	PODS	4.6839185e-05
8,190	XML Schema Mappings	2009	PODS	4.5598146e-05
11,908	Recovering Exchanged Data	2015	PODS	4.1905499e-05
12,090	Getting Unique Solution in Data Exchange	2013	VLDB	4.1905499e-05

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
47	Data Integration: A Theoretical Perspective	2002	PODS	0.00069691761
188	Applying Model Management to Classical Meta Data Problems	2003	CIDR	0.00035935715
620	Schema Mappings, Data Exchange, and Metadata Management	2005	PODS	0.00018983367
818	Composing Schema Mappings: Second-Order Dependencies to the Rescue	2004	PODS	0.00016240185
877	Composing Mappings Among Data Sources	2003	VLDB	0.00015659754
1,493	Inverting Schema Mappings	2006	PODS	0.00011682325
1,739	Composition of Mappings Given by Embedded Dependencies	2005	PODS	0.00010698182

Semantically Similar Papers

Overall Rank	Paper	Year	Venue	Pagerank
7,650	Foundations of Schema Mapping Management	2010	PODS	4.6839185e-05
818	Composing Schema Mappings: Second-Order Dependencies to the Rescue	2004	PODS	0.00016240185
4,750	Normalization and Optimization of Schema Mappings	2009	VLDB	5.9424107e-05
2,130	Characterizing Schema Mappings via Data Examples	2010	PODS	9.4784293e-05
3,388	The Recovery of a Schema Mapping: Bringing Exchanged Data Back	2008	PODS	7.1502016e-05
9,339	Local Transformations and Conjunctive-Query Equivalence	2012	PODS	4.351469e-05
4,980	Towards a Theory of Schema-Mapping Optimization	2008	PODS	5.7825422e-05
6,146	Reverse Data Exchange: Coping with Nulls	2009	PODS	5.1840756e-05
6,346	Inverting Schema Mappings: Bridging the Gap between Theory and Practice	2009	VLDB	5.0969624e-05
1,493	Inverting Schema Mappings	2006	PODS	0.00011682325