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http://hdl.handle.net/1942/25325
Title: | The primitivity of operators in the algebra of binary relations under conjunctions of containments | Authors: | SURINX, Dimitri VAN DEN BUSSCHE, Jan Van Gucht, Dirk |
Issue Date: | 2017 | Publisher: | IEEE | Source: | 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017, IEEE, | Series/Report: | IEEE Symposium on Logic in Computer Science | Abstract: | The algebra of binary relations provides union and composition as basic operators, with the empty set as neutral element for union and the identity relation as neutral element for composition. The basic algebra can be enriched with additional features. We consider the diversity relation, the full relation, intersection, set difference, projection, coprojection, converse, and transitive closure. It is customary to express boolean queries on binary relational structures as finite conjunctions of containments. We investigate which features are primitive in this setting, in the sense that omitting the feature would allow strictly less boolean queries to be expressible. Our main result is that, modulo a finite list of elementary interdependencies among the features, every feature is indeed primitive. | Notes: | Surinx, D (reprint author), Hasselt Univ, Hasselt, Belgium. dimitri.surinx@uhasselt.be; jan.vandenbussche@uhasselt.be; vgucht@cs.indiana.edu | Document URI: | http://hdl.handle.net/1942/25325 | ISBN: | 9781509030194 | DOI: | 10.1109/LICS.2017.8005122 | ISI #: | 000425849500060 | Rights: | (c) 2017 IEEE | Category: | C1 | Type: | Proceedings Paper | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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containment.pdf | Published version | 284.98 kB | Adobe PDF | View/Open |
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