K. Tanaka, T.-S. Chang. On natural join in object-oriented databases. In : Proc. of Int. Conf. on Deductive and Object-Oriented Databases, Kyoto, December 1989.

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A Relational Algebra for Complex Objects Based on Partial.. - Libkin (1991)   (10 citations)  (Correct)

....the join operation. Given two generalized relations R 1 ; R 2 D, their join R 1 1 R 2 is the set of minimal (in D) elements which are greater than some element of R 1 and some element of R 2 : R 1 1 R 2 = minfx 2 D j 9r 1 2 R 1 ; r 2 2 R 2 : r 1 x; r 2 xg. Several conditions were given in [23] that the analogy of the natural join in object oriented model should satisfy. Informally, they are: 1) if there are no common attributes of two relations, the result of join is isomorphic to their direct (Cartesian) product; 2) if two relations are defined over the same sets of attributes, the ....

K. Tanaka, T.-S. Chang. On natural join in object-oriented databases. In : Proc. of Int. Conf. on Deductive and Object-Oriented Databases, Kyoto, December 1989.

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