给定关系模式R<U,F>,U={A,B,C,D,E},F={B→A,D→A,A→E,AC→B},则R的候选关键字为CD,分解ρ={Rl(ABCE),R2(CD)}( )
- A.具有无损连接性,且保持函数依赖
- B.不具有无损连接性,但保持函数依赖
- C.具有无损连接性,但不保持函数依赖
- D.不具有无损连接性,也不保持函数依赖
正确答案及解析
正确答案
解析
CD能推出题中关系式的所有属性,因此R的候选关键字为CD。
判断是否为无损连接,首先进行R1∩R2=C,由于C不能推出R1或者R2中的任何属性值,因此该分解为有损分解。原关系式F中有D→A而分解的Rl(ABCE)中没有D,所以该分解不保持函数依赖。
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