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FCA interpretation of relation algebra.

Priss, Uta


Uta Priss


This paper discusses an interpretation of relation algebra and fork algebra with respect to FCA contexts. In this case, "relation algebra" refers to the DeMorgan-Peirce-Schroeder-Tarski algebra and not to the "relational algebra" as described by Codd. The goal of this interpretation is to provide an algebraic formalisation of object-relational databases that is based on binary relations and thus closer to FCA and formal contexts than the traditional formalisation based on Codd. The formalisation provides insights into certain symmetries (among quantifiers) and the use of ternary relations and part-whole relations for building relational databases.


Priss, U. (2006). FCA interpretation of relation algebra. .

Conference Name 4th International Conference on Formal Concept Analysis.
Start Date Feb 13, 2006
End Date Feb 17, 2006
Publication Date Feb 1, 2006
Deposit Date Jun 4, 2008
Peer Reviewed Peer Reviewed
Pages 248-263
ISBN 978-3-540-32203-0
Keywords Computer software; Object-orientation; Relational databases; Relational algebra; FCA;
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