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http://hdl.handle.net/1942/26656
Title: | The Power of Tarski’s Relation Algebra on Trees | Authors: | HELLINGS, Jelle Wu, Yuqing GYSSENS, Marc Van Gucht, Dirk |
Issue Date: | 2018 | Publisher: | Springer International Publishing AG | Source: | Ferrarotti, Flavio; Woltran, Stefan (Ed.). Foundations of Information and Knowledge Systems 10th International Symposium, FoIKS 2018, Budapest, Hungary, May 14–18, 2018, Proceedings, Springer International Publishing,p. 244-264 | Series/Report: | Lecture Notes in Computer Science | Series/Report no.: | 10833 | Abstract: | Fragments of Tarski’s relation algebra form the basis of many versatile graph and tree query languages including the regular path queries, XPath, and SPARQL. Surprisingly, however, a systematic study of the relative expressive power of relation algebra fragments on trees has not yet been undertaken. Our approach is to start from a basic fragment which only allows composition and union. We then study how the expressive power of the query language changes if we add diversity, converse, projections, coprojections, intersections, and/or difference, both for path queries and Boolean queries. For path queries, we found that adding intersection and difference yields more expressive power for some fragments, while adding one of the other operators always yields more expressive power. For Boolean queries, we obtain a similar picture for the relative expressive power, except for a few fragments where adding converse or projection yields no more expressive power. One challenging problem remains open, however, for both path and Boolean queries: does adding difference yields more expressive power to fragments containing at least diversity, coprojections, and intersection? | Document URI: | http://hdl.handle.net/1942/26656 | ISBN: | 9783319900490 | DOI: | 10.1007/978-3-319-90050-6_14 | ISI #: | 000546329500014 | Category: | C1 | Type: | Proceedings Paper | Validations: | ecoom 2021 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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foiks2018_1_paper.pdf | Peer-reviewed author version | 581.2 kB | Adobe PDF | View/Open |
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