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Example R=(A,B,C,G,H,1) D={A-→>B BHI CG→H Some members of D+: ·A>>CGHl. Since A->>B,the complementation rule (4)implies that A->>R-B-A. Since R-B-A=CGHI.so A->CGHI ·A>>Hl. Since A-→>B and B→→Hl,the multivalued transitivity rule(6) implies that B>>H/-B. Since HI-B=HI.A>HI. Database System Concepts-7th Edition 28.6 ©Silberscha乜,Korth and SudarshanDatabase System Concepts - 7 28.6 ©Silberschatz, Korth and Sudarshan th Edition Example ▪ R = (A, B, C, G, H, I) D = {A B B HI CG H} ▪ Some members of D+ : • A CGHI. Since A B, the complementation rule (4) implies that A R – B – A. Since R – B – A = CGHI, so A CGHI. • A HI. Since A B and B HI, the multivalued transitivity rule (6) implies that B HI – B. Since HI – B = HI, A HI
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