给定关系模式R(A1,A2,A3,A4),R上的函数依赖集F={A1A3→A2,A2→A3},则R(请作答此空)若将R分解为p={(A1A2),(A1,A3)},那么该分解( )
- A.有一个候选关键字A1A3
- B.有一个候选关键字A1A2A3
- C.有两个候选关键字A1A3A4和A1A2A4
- D.有三个候选关键字A1A2、A1A3和A1A4
正确答案及解析
正确答案
解析
A1A3→A2,A2→A3,没有出现A4,所以候选关键字中肯定包A4,属性A1A3A4决定全属性,故为候选关键字。同理A1A2A4也为候选关键字。设U1={A1,A2},U2={A1,A3},那么可得出:U1∩U2→(U1-U2)=A1→A2,U1∩U2→(U2-U1)=A1→A3,而A1-A2,A1-A3?F+,所以分解ρ是有损连接的。又因为F1=F2=?,F+≠(F1∪F2)+,所以分解不保持函数依赖。
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