Similarity and bisimilarity notions appropriate for characterizing indistinguishability in fragments of the calculus of relations.

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Title: Similarity and bisimilarity notions appropriate for characterizing indistinguishability in fragments of the calculus of relations.
Authors: FLETCHER, GEORGE H. L.1 g.h.l.fletcher@tue.nl, GYSSENS, MARC2 marc.gyssens@uhasselt.be, LEINDERS, DIRK2 dirk.leinders@uhasselt.be, DEN BUSSCHE, JAN VAN3 jan.vandenbussche@uhasselt.be, VAN GUCHT, DIRK4 vgucht@cs.indiana.edu, VANSUMMEREN, STIJN5 stijn.vansummeren@ulb.ac.be
Source: Journal of Logic & Computation. Jun2015, Vol. 25 Issue 3, p549-580. 32p.
Subjects: Relational calculus, Binary operations, Bisimulation, Operator theory, Simulation methods & models
Abstract: Motivated by applications in databases, this article considers various fragments of the calculus of binary relations. The fragments are obtained by leaving out, or keeping in, some of the standard operators, along with some derived operators such as set difference, projection, coprojection and residuation. For each considered fragment, a characterization is obtained for when two given binary relational structures are indistinguishable by expressions in that fragment. The characterizations are based on appropriately adapted notions of simulation and bisimulation. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Logic & Computation is the property of Oxford University Press / USA and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="DE" term="%22Relational+calculus%22">Relational calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Binary+operations%22">Binary operations</searchLink><br /><searchLink fieldCode="DE" term="%22Bisimulation%22">Bisimulation</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink>
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  Data: Motivated by applications in databases, this article considers various fragments of the calculus of binary relations. The fragments are obtained by leaving out, or keeping in, some of the standard operators, along with some derived operators such as set difference, projection, coprojection and residuation. For each considered fragment, a characterization is obtained for when two given binary relational structures are indistinguishable by expressions in that fragment. The characterizations are based on appropriately adapted notions of simulation and bisimulation. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Logic & Computation is the property of Oxford University Press / USA and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1093/logcom/exu018
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              Text: Jun2015
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