Different database queries











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We have the table person (pid,pname)
We want to find the names of the persons. What is difference between a and d? I know that d is the correct answer but I don't understand why.



$$a), {langle Xrangle mid forall Y, (textrm{person}(Y,X))}.$$
$$d), {langle Xranglemid exists Y, (textrm{person}(Y,X))}.$$



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    up vote
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    We have the table person (pid,pname)
    We want to find the names of the persons. What is difference between a and d? I know that d is the correct answer but I don't understand why.



    $$a), {langle Xrangle mid forall Y, (textrm{person}(Y,X))}.$$
    $$d), {langle Xranglemid exists Y, (textrm{person}(Y,X))}.$$



    original image










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      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      We have the table person (pid,pname)
      We want to find the names of the persons. What is difference between a and d? I know that d is the correct answer but I don't understand why.



      $$a), {langle Xrangle mid forall Y, (textrm{person}(Y,X))}.$$
      $$d), {langle Xranglemid exists Y, (textrm{person}(Y,X))}.$$



      original image










      share|cite|improve this question















      We have the table person (pid,pname)
      We want to find the names of the persons. What is difference between a and d? I know that d is the correct answer but I don't understand why.



      $$a), {langle Xrangle mid forall Y, (textrm{person}(Y,X))}.$$
      $$d), {langle Xranglemid exists Y, (textrm{person}(Y,X))}.$$



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      computational-mathematics






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      edited Nov 21 at 10:57









      Somos

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      12.7k11034










      asked Nov 21 at 10:44









      Krister

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          a) says that for every id $Y$, the name matches $X$, i.e. this set contain $X$ only if all names were equal to $X$.






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            a) would give you the list of all pnames (X) that are are associated will all pids (notice the "for all" ($forall$) quantifier before the Y). Assuming that pids are unique (they usually are keys), this would give you an empty list if you had 2 different persons in the list.



            d) gives you the list of all existing pnames (X), because it is only required that at least one pid exists ($exists$ before the Y) such that (Y,X) is in the database. In your database, each entry must be of the form (pid, pname), so each existing pname must have (at least one) pid that occurs with it, so query d) finds it.






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              2 Answers
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              2 Answers
              2






              active

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              active

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              active

              oldest

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              up vote
              0
              down vote













              a) says that for every id $Y$, the name matches $X$, i.e. this set contain $X$ only if all names were equal to $X$.






              share|cite|improve this answer

























                up vote
                0
                down vote













                a) says that for every id $Y$, the name matches $X$, i.e. this set contain $X$ only if all names were equal to $X$.






                share|cite|improve this answer























                  up vote
                  0
                  down vote










                  up vote
                  0
                  down vote









                  a) says that for every id $Y$, the name matches $X$, i.e. this set contain $X$ only if all names were equal to $X$.






                  share|cite|improve this answer












                  a) says that for every id $Y$, the name matches $X$, i.e. this set contain $X$ only if all names were equal to $X$.







                  share|cite|improve this answer












                  share|cite|improve this answer



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                  answered Nov 21 at 11:27









                  Berci

                  59k23671




                  59k23671






















                      up vote
                      0
                      down vote













                      a) would give you the list of all pnames (X) that are are associated will all pids (notice the "for all" ($forall$) quantifier before the Y). Assuming that pids are unique (they usually are keys), this would give you an empty list if you had 2 different persons in the list.



                      d) gives you the list of all existing pnames (X), because it is only required that at least one pid exists ($exists$ before the Y) such that (Y,X) is in the database. In your database, each entry must be of the form (pid, pname), so each existing pname must have (at least one) pid that occurs with it, so query d) finds it.






                      share|cite|improve this answer

























                        up vote
                        0
                        down vote













                        a) would give you the list of all pnames (X) that are are associated will all pids (notice the "for all" ($forall$) quantifier before the Y). Assuming that pids are unique (they usually are keys), this would give you an empty list if you had 2 different persons in the list.



                        d) gives you the list of all existing pnames (X), because it is only required that at least one pid exists ($exists$ before the Y) such that (Y,X) is in the database. In your database, each entry must be of the form (pid, pname), so each existing pname must have (at least one) pid that occurs with it, so query d) finds it.






                        share|cite|improve this answer























                          up vote
                          0
                          down vote










                          up vote
                          0
                          down vote









                          a) would give you the list of all pnames (X) that are are associated will all pids (notice the "for all" ($forall$) quantifier before the Y). Assuming that pids are unique (they usually are keys), this would give you an empty list if you had 2 different persons in the list.



                          d) gives you the list of all existing pnames (X), because it is only required that at least one pid exists ($exists$ before the Y) such that (Y,X) is in the database. In your database, each entry must be of the form (pid, pname), so each existing pname must have (at least one) pid that occurs with it, so query d) finds it.






                          share|cite|improve this answer












                          a) would give you the list of all pnames (X) that are are associated will all pids (notice the "for all" ($forall$) quantifier before the Y). Assuming that pids are unique (they usually are keys), this would give you an empty list if you had 2 different persons in the list.



                          d) gives you the list of all existing pnames (X), because it is only required that at least one pid exists ($exists$ before the Y) such that (Y,X) is in the database. In your database, each entry must be of the form (pid, pname), so each existing pname must have (at least one) pid that occurs with it, so query d) finds it.







                          share|cite|improve this answer












                          share|cite|improve this answer



                          share|cite|improve this answer










                          answered Nov 21 at 11:30









                          Ingix

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                          2,999145






























                               

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