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http://hdl.handle.net/1942/36346
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DC Field | Value | Language |
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dc.contributor.author | BRIJDER, Robert | - |
dc.contributor.author | GYSSENS, Marc | - |
dc.contributor.author | VAN DEN BUSSCHE, Jan | - |
dc.date.accessioned | 2022-01-03T09:00:48Z | - |
dc.date.available | 2022-01-03T09:00:48Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2021-08-23T13:23:21Z | - |
dc.identifier.citation | Annals of mathematics and artificial intelligence, 90 (2-3), p. 181-210 | - |
dc.identifier.uri | http://hdl.handle.net/1942/36346 | - |
dc.description.abstract | We show that the matrix query language MATLANG corresponds to a natural fragment of the positive relational algebra on K-relations. The fragment is defined by introducing a composition operator and restricting K-relation arities to 2. We then proceed to show that MATLANG can express all matrix queries expressible in the positive relational algebra on K-relations, when intermediate arities are restricted to 3. Thus we offer an analogue, in a model with numerical data, to the situation in classical logic, where the algebra of binary relations is equivalent to first-order logic with three variables. | - |
dc.description.sponsorship | We thank Floris Geerts for inspiring discussions. We also thank the anonymous reviewers for their comments which were very helpful in improving this paper. | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.rights | The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 | - |
dc.subject.other | Expressive power | - |
dc.subject.other | Provenance semirings | - |
dc.subject.other | Annotated relations | - |
dc.subject.other | Data science | - |
dc.title | On matrices and K-relations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 210 | - |
dc.identifier.issue | 2-3 | - |
dc.identifier.spage | 181 | - |
dc.identifier.volume | 90 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s10472-021-09760-4 | - |
dc.identifier.isi | 000673895700001 | - |
local.provider.type | Web of Science | - |
local.uhasselt.international | no | - |
item.accessRights | Open Access | - |
item.validation | ecoom 2022 | - |
item.fulltext | With Fulltext | - |
item.fullcitation | BRIJDER, Robert; GYSSENS, Marc & VAN DEN BUSSCHE, Jan (2022) On matrices and K-relations. In: Annals of mathematics and artificial intelligence, 90 (2-3), p. 181-210. | - |
item.contributor | BRIJDER, Robert | - |
item.contributor | GYSSENS, Marc | - |
item.contributor | VAN DEN BUSSCHE, Jan | - |
crisitem.journal.issn | 1012-2443 | - |
crisitem.journal.eissn | 1573-7470 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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arak.pdf | Peer-reviewed author version | 432.72 kB | Adobe PDF | View/Open |
On matrices and K-relations.pdf Restricted Access | Published version | 812.16 kB | Adobe PDF | View/Open Request a copy |
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