首先,将给定的函数依赖集转化为关系模式: R = {ABC, BD, ACD, CDA}

然后,找出所有可能的函数依赖集,包括R本身和所有可能的子集: {A}+ = {A} {B}+ = {BD} {C}+ = {CDA} {D}+ = {D}

{AB}+ = {ABCD} {AC}+ = {ACD} {AD}+ = {ABCD} {BC}+ = {BCD} {BD}+ = {BD} {CD}+ = {CDA}

{ABC}+ = {ABCDA} {ABD}+ = {ABCD} {ACD}+ = {ACD} {BCD}+ = {BCDA} {CDA}+ = {CDA}

{ABCD}+ = {ABCD}

因此,函数依赖集的闭包为: {A}+, {B}+, {C}+, {D}+, {AB}+, {AC}+, {AD}+, {BC}+, {BD}+, {CD}+, {ABC}+, {ABD}+, {ACD}+, {BCD}+, {CDA}+, {ABCD}+


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