Download - kiferComp_348761_ppt05
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Chapter 5
Relational Algebra and SQL
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Father of Relational Model Edgar F. Codd (1923-2003)
•PhD from U. of Michigan, Ann Arbor
•Received Turing Award in 1981.
•More see http://en.wikipedia.org/wiki/Edgar_Codd
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Relational Query Languages
• Languages for describing queries on a relational database
• Structured Query LanguageStructured Query Language (SQL)– Predominant application-level query language– Declarative
• Relational AlgebraRelational Algebra– Intermediate language used within DBMS– Procedural
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What is an Algebra?
• A language based on operators and a domain of values• Operators map values taken from the domain into
other domain values• Hence, an expression involving operators and
arguments produces a value in the domain• When the domain is a set of all relations (and the
operators are as described later), we get the relational relational algebraalgebra
• We refer to the expression as a queryquery and the value produced as the queryquery resultresult
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Relational Algebra
• Domain: set of relations• Basic operators: selectselect, projectproject, unionunion, setset
differencedifference, CartesianCartesian productproduct• Derived operators: set intersectionset intersection, divisiondivision, joinjoin• Procedural: Relational expression specifies query
by describing an algorithm (the sequence in which operators are applied) for determining the result of an expression
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The Role of Relational Algebra in a DBMS
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Select Operator
• Produce table containing subset of rows of argument table satisfying condition
condition (relation)
• Example:
Person Person Hobby=‘stamps’(PersonPerson)
1123 John 123 Main stamps1123 John 123 Main coins5556 Mary 7 Lake Dr hiking9876 Bart 5 Pine St stamps
1123 John 123 Main stamps9876 Bart 5 Pine St stamps
Id Name Address Hobby Id Name Address Hobby
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Selection Condition
• Operators: <, , , >, =, • Simple selection condition:
– <attribute> operator <constant>– <attribute> operator <attribute>
• <condition> AND <condition>
• <condition> OR <condition>• NOT <condition>
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Selection Condition - Examples
Id>3000 OR Hobby=‘hiking’ (PersonPerson)
Id>3000 AND Id <3999 (PersonPerson)
NOT(Hobby=‘hiking’) (PersonPerson)
Hobby‘hiking’ (PersonPerson)
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Project Operator
• Produces table containing subset of columns of argument table
attribute list(relation)
• Example: PersonPerson Name,Hobby(PersonPerson)
1123 John 123 Main stamps1123 John 123 Main coins5556 Mary 7 Lake Dr hiking9876 Bart 5 Pine St stamps
John stampsJohn coinsMary hikingBart stamps
Id Name Address Hobby Name Hobby
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Project Operator
1123 John 123 Main stamps1123 John 123 Main coins5556 Mary 7 Lake Dr hiking9876 Bart 5 Pine St stamps
John 123 MainMary 7 Lake DrBart 5 Pine St
Result is a table (no duplicates); can have fewer tuplesthan the original
Id Name Address Hobby Name Address
• Example: PersonPerson Name,Address(PersonPerson)
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Expressions
1123 John 123 Main stamps1123 John 123 Main coins5556 Mary 7 Lake Dr hiking9876 Bart 5 Pine St stamps
1123 John9876 Bart
Id Name Address Hobby Id Name
PersonPerson
ResultResult
Id, Name ( Hobby=’stamps’ OR Hobby=’coins’ (PersonPerson) )
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Set Operators
• Relation is a set of tuples, so set operations should apply: , , (set difference)
• Result of combining two relations with a set operator is a relation => all its elements must be tuples having same structure
• Hence, scope of set operations limited to union compatible relationsunion compatible relations
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Union Compatible Relations
• Two relations are union compatibleunion compatible if– Both have same number of columns– Names of attributes are the same in both– Attributes with the same name in both relations
have the same domain
• Union compatible relations can be combined using unionunion, intersectionintersection, and setset differencedifference
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Example
Tables: PersonPerson (SSN, Name, Address, Hobby) ProfessorProfessor (Id, Name, Office, Phone)are not union compatible.
But Name (PersonPerson) and Name (ProfessorProfessor)
are union compatible so
Name (PersonPerson) - Name (ProfessorProfessor)
makes sense.
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Cartesian Product• If RR and SS are two relations, RR SS is the set of all
concatenated tuples <x,y>, where x is a tuple in RR and y is a tuple in SS– RR and SS need not be union compatible.– But RBut R and SS must have distinct attribute names. Why?
• RR SS is expensive to compute. But why?
A B C D A B C D x1 x2 y1 y2 x1 x2 y1 y2 x3 x4 y3 y4 x1 x2 y3 y4 x3 x4 y1 y2 RR SS x3 x4 y3 y4 RR SS
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Renaming• Result of expression evaluation is a relation• Attributes of relation must have distinct names.
This is not guaranteed with Cartesian product– e.g., suppose in previous example A and C have the
same name
• Renaming operator tidies this up. To assign the names A1, A2,… An to the attributes of the n column relation produced by expression expr use expr [A1, A2, … An]
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Example
This is a relation with 4 attributes: StudId, CrsCode1, ProfId, CrsCode2
TranscriptTranscript (StudId, CrsCode, Semester, Grade)
TeachingTeaching (ProfId, CrsCode, Semester)
StudId, CrsCode (TranscriptTranscript)[StudId, CrsCode1]
ProfId, CrsCode(TeachingTeaching) [ProfId, CrsCode2]
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Derived Operation: Join
A (generalgeneral or thetatheta) join join of R and S is the expression R c S
where join-condition c is a conjunction of terms: Ai oper Bi
in which Ai is an attribute of R; Bi is an attribute of S; and oper is one of =, <, >, , . Q: Any difference between join condition and selection condition?The meaning is:
c (R S) Where join-condition c becomes a select condition cexcept for possible renamings of attributes (next)
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Join and Renaming
• Problem: R and S might have attributes with the same name – in which case the Cartesian product is not defined
• Solutions: 1. Rename attributes prior to forming the product and
use new names in join-condition´.2. Qualify common attribute names with relation names
(thereby disambiguating the names). For instance: Transcript.Transcript.CrsCodeCrsCode or Teaching.Teaching.CrsCodeCrsCode
– This solution is nice, but doesn’t always work: consider
RR join_condition RR
In RR.A, how do we know which R is meant?
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Theta Join – Example Employee(Employee(Name,Id,MngrId,SalaryName,Id,MngrId,Salary) Manager(Manager(Name,Id,SalaryName,Id,Salary)
Output the names of all employees that earnmore than their managers.EmployeeEmployee.Name (EmployeeEmployee MngrId=Id AND Employee.Salary> Manager.Salary
ManagerManager)
The join yields a table with attributes:EmployeeEmployee.Name, EmployeeEmployee.Id, EmployeeEmployee.Salary, MngrIdManagerManager.Name, ManagerManager.Id, ManagerManager.Salary
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Equijoin Join - Example
Name,CrsCode(StudentStudent Id=StudId Grade=‘A’ (TranscriptTranscript))
Id Name Addr Status111 John ….. …..222 Mary ….. …..333 Bill ….. …..444 Joe ….. …..
StudId CrsCode Sem Grade 111 CSE305 S00 B 222 CSE306 S99 A 333 CSE304 F99 A
Mary CSE306Bill CSE304
The equijoin is used veryfrequently since it combinesrelated data in different relations.
StudentStudent TranscriptTranscript
EquijoinEquijoin: Join condition is a conjunction of equalities.
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Natural Join• Special case of equijoin:
– join condition equates all and only those attributes with the same name (condition doesn’t have to be explicitly stated)
– duplicate columns eliminated from the result
TranscriptTranscript (StudId, CrsCode, Sem, Grade)Teaching (Teaching (ProfId, CrsCode, Sem)
TranscriptTranscript TeachingTeaching = StudId, Transcript.CrsCode, Transcript.Sem, Grade, ProfId
( TranscriptTranscript Transcipt.CrsCode=Teaching.CrsCode
AND Transcirpt.Sem=Teaching.Sem Teaching Teaching ) [StudId, CrsCode, Sem, Grade, ProfId ]
Q: but why natural join is a derived operator? Because…
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Natural Join (cont’d)
• More generally:RR SS = attr-list (join-cond (RR × SS) )
where attr-list = attributes (RR) attributes (SS)(duplicates are eliminated) and join-cond has the form: R.A1 = S.A1 AND … AND R.An = S.An
where {A1 … An} = attributes(RR) attributes(SS)
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Natural Join Example
• List all Ids of students who took at least two different courses:
StudId ( CrsCode CrsCode2 ( TranscriptTranscript
TranscriptTranscript [StudId, CrsCode2, Sem2, Grade2] )) We don’t want to join on CrsCode, Sem, and Grade attributes,hence renaming!
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Division
• Goal: Produce the tuples in one relation, r, that match all tuples in another relation, s– rr (A1, …An, B1, …Bm)
– ss (B1 …Bm)
– rr/ss, with attributes A1, …An, is the set of all tuples <a> such that for every tuple <b> in ss, <a,b> is in rr
• Can be expressed in terms of projection, set difference, and cross-product
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Division (cont’d)
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Division - Example• List the Ids of students who have passed all
courses that were taught in spring 2000• Numerator:
– StudId and CrsCode for every course passed by every student:
StudId, CrsCode (Grade ‘F’ (TranscriptTranscript) )
• Denominator:– CrsCode of all courses taught in spring 2000
CrsCode (Semester=‘S2000’ (TeachingTeaching) )
• Result is numerator/denominator
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Schema for Student Registration System
StudentStudent (Id, Name, Addr, Status)ProfessorProfessor (Id, Name, DeptId)CourseCourse (DeptId, CrsCode, CrsName, Descr)TranscriptTranscript (StudId, CrsCode, Semester, Grade)TeachingTeaching (ProfId, CrsCode, Semester)DepartmentDepartment (DeptId, Name)
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Query Sublanguage of SQL
• Tuple variable Tuple variable C ranges over rows of CourseCourse.• Evaluation strategy:
– FROM clause produces Cartesian product of listed tables
– WHERE clause assigns rows to C in sequence and produces table containing only rows satisfying condition
– SELECT clause retains listed columns
• Equivalent to: CrsNameDeptId=‘CS’(CourseCourse)
SELECT C.CrsNameFROM CourseCourse CWHERE C.DeptId = ‘CS’
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Join Queries
• List CS courses taught in S2000• Tuple variables clarify meaning.• Join condition “C.CrsCode=T.CrsCode”
– relates facts to each other• Selection condition “ T.Semester=‘S2000’ ”
– eliminates irrelevant rows• Equivalent (using natural join) to:
SELECT C.CrsNameFROM CourseCourse C, TeachingTeaching TWHERE C.CrsCode=T.CrsCode AND T.Semester=‘S2000’
CrsName(CourseCourse Semester=‘S2000’ (TeachingTeaching) )
CrsName (Sem=‘S2000’ (CourseCourse TeachingTeaching) )
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Correspondence Between SQL and Relational Algebra
SELECT C.CrsNameFROM CourseCourse C, TeachingTeaching TWHERE C.CrsCode = T.CrsCode AND T.Semester = ‘S2000’
Also equivalent to:CrsName C_CrsCode=T_CrsCode AND Semester=‘S2000’
(CourseCourse [C_CrsCode, DeptId, CrsName, Desc] TeachingTeaching [ProfId, T_CrsCode, Semester])
• This is the simplest evaluation algorithm for SELECT.• Relational algebra expressions are procedural.
Which of the two equivalent expressions is more easily evaluated?
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Self-join QueriesFind Ids of all professors who taught at least two courses in the same semester:
SELECT T1.ProfIdFROM TeachingTeaching T1, TeachingTeaching T2WHERE T1.ProfId = T2.ProfId AND T1.Semester = T2.Semester AND T1.CrsCode <> T2.CrsCode
Tuple variables are essential in this query!
Equivalent to: ProfId (T1.CrsCodeT2.CrsCode(TeachingTeaching[ProfId, T1.CrsCode, Semester] TeachingTeaching[ProfId, T2.CrsCode, Semester]))
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Duplicates
• Duplicate rows not allowed in a relation
• However, duplicate elimination from query result is costly and not done by default; must be explicitly requested:
SELECT DISTINCT …..FROM …..
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Equality and comparison operators apply to strings (based on lexical ordering)
WHERE S.Name < ‘P’
Use of Expressions
Concatenate operator applies to stringsWHERE S.Name || ‘--’ || S.Address = ….
Expressions can also be used in SELECT clause:
SELECT S.Name || ‘--’ || S.Address AS NmAddFROM StudentStudent S
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Set Operators
• SQL provides UNION, EXCEPT (set difference), and INTERSECT for union compatible tables
• Example: Find all professors in the CS Department and all professors that have taught CS courses
(SELECT P.Name FROM ProfessorProfessor P, TeachingTeaching T WHERE P.Id=T.ProfId AND T.CrsCode LIKE ‘CS%’)UNION(SELECT P.Name FROM ProfessorProfessor P WHERE P.DeptId = ‘CS’)
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Nested QueriesList all courses that were not taught in S2000
SELECT C.CrsNameFROM CourseCourse CWHERE C.CrsCode NOT IN (SELECT T.CrsCode --subquery FROM TeachingTeaching T WHERE T.Sem = ‘S2000’)
Evaluation strategy: subquery evaluated once toproduces set of courses taught in S2000. Each row(as C) tested against this set.
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Correlated Nested Queries Output a row <prof, dept> if prof has taught a course in dept.
(SELECT T.ProfId --subquery FROM TeachingTeaching T, CourseCourse C WHERE T.CrsCode=C.CrsCode AND C.DeptId=D.DeptId --correlation)
SELECT P.Name, D.Name --outer query FROM ProfessorProfessor P, DepartmentDepartment D WHERE P.Id IN -- set of all ProfId’s who have taught a course in D.DeptId
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Correlated Nested Queries (con’t)
• Tuple variables T and C are local to subquery• Tuple variables P and D are global to subquery• CorrelationCorrelation: subquery uses a global variable, D• The value of D.DeptId parameterizes an evaluation of
the subquery• Subquery must (at least) be re-evaluated for each
distinct value of D.DeptId
• Correlated queries can be expensive to evaluate
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Division in SQL• Query type: Find the subset of items in one set that
are related to all items in another set• Example: Find professors who taught courses in all
departments– Why does this involve division?
ProfId DeptId DeptId
All department IdsContains row<p,d> if professorp taught acourse in department d
ProfId,DeptId(Teaching Course) / DeptId(Department)
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Division in SQL
• Strategy for implementing division in SQL: – Find set, A, of all departments in which a
particular professor, p, has taught a course
– Find set, B, of all departments
– Output p if A B, or, equivalently, if B–A is empty
• But how to do this exactly in SQL?
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Division Solution Sketch (1)SELECT P.IdFROM ProfessorProfessor PWHERE P taught courses in all departments
SELECT P.IdFROM ProfessorProfessor PWHERE there does not exist any department that P has never taught a course
SELECT P.IdFROM ProfessorProfessor PWHERE NOT EXISTS(the departments that P has never taught a course)
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Division Solution Sketch (1)SELECT P.IdFROM ProfessorProfessor PWHERE NOT EXISTS(the departments that P has never taught a course)
SELECT P.IdFROM ProfessorProfessor PWHERE NOT EXISTS( B: All departments EXCEPT A: the departments that P has ever taught a course)But how do we formulate A and B?
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Division – SQL Solution in details
SELECT P.IdFROM ProfessorProfessor PWHERE NOT EXISTS (SELECT D.DeptId -- set B of all dept Ids FROM DepartmentDepartment D EXCEPT SELECT C.DeptId -- set A of dept Ids of depts in -- which P taught a course FROM TeachingTeaching T, CourseCourse C WHERE T.ProfId=P.Id -- global variable AND T.CrsCode=C.CrsCode)
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Aggregates
• Functions that operate on sets:– COUNT, SUM, AVG, MAX, MIN
• Produce numbers (not tables)• Aggregates over multiple rows into one row• Not part of relational algebra (but not hard to add)
SELECT COUNT(*)FROM ProfessorProfessor P
SELECT MAX (Salary)FROM EmployeeEmployee E
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Aggregates (cont’d)
SELECT COUNT (T.CrsCode)FROM TeachingTeaching TWHERE T.Semester = ‘S2000’
SELECT COUNT (DISTINCT T.CrsCode)FROM TeachingTeaching TWHERE T.Semester = ‘S2000’
Count the number of courses taught in S2000
But if multiple sections of same course are taught, use:
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Grouping• But how do we compute the number of courses
taught in S2000 per professor?– Strategy 1: Fire off a separate query for each
professor:SELECT COUNT(T.CrsCode)FROM TeachingTeaching TWHERE T.Semester = ‘S2000’ AND T.ProfId =
123456789• Cumbersome• What if the number of professors changes? Add another query?
– Strategy 2: define a special grouping operatorgrouping operator:SELECT T.ProfId, COUNT(T.CrsCode)FROM TeachingTeaching TWHERE T.Semester = ‘S2000’GROUP BY T.ProfId
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GROUP BY
Values are the same for all rows in same group
Values might be different for rows in the same group, need aggregation!
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GROUP BY - Example
SELECT T.StudId, AVG(T.Grade), COUNT (*)FROM TranscriptTranscript TGROUP BY T.StudId
TranscriptTranscript
Attributes: –student’s Id –avg grade –number of courses
1234 3.3 41234123412341234
-Finally, each group of rows is aggregated into one row
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HAVING Clause• Eliminates unwanted groups (analogous to
WHERE clause, but works on groups instead of individual tuples)
• HAVING condition is constructed from attributes of GROUP BY list and aggregates on attributes not in that list
SELECT T.StudId, AVG(T.Grade) AS CumGpa, COUNT (*) AS NumCrsFROM Transcript Transcript TWHERE T.CrsCode LIKE ‘CS%’GROUP BY T.StudIdHAVING AVG (T.Grade) > 3.5
Apply to each group not to the whole table
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Evaluation of GroupBy with Having
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Example
• Output the name and address of all seniors on the Dean’s List
SELECT S.Id, S.NameFROM StudentStudent S, TranscriptTranscript TWHERE S.Id = T.StudId AND S.Status = ‘senior’
GROUP BY
HAVING AVG (T.Grade) > 3.5 AND SUM (T.Credit) > 90
S.Id -- wrongS.Id, S.Name -- right
Every attribute that occurs in SELECT clause must also occur in GROUP BY or it must be an aggregate. S.Name does not.
> The DB has not used the information that “S.Id S.Name”.
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Aggregates: Proper and Improper Usage
SELECT COUNT (T.CrsCode), T. ProfId – makes no sense (in the absence of GROUP BY clause)
SELECT COUNT (*), AVG (T.Grade) – but this is OK
WHERE T.Grade > COUNT (SELECT ….) – aggregate cannot be applied to result of SELECT statement
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ORDER BY Clause
• Causes rows to be output in a specified order
SELECT T.StudId, COUNT (*) AS NumCrs, AVG(T.Grade) AS CumGpaFROM TranscriptTranscript TWHERE T.CrsCode LIKE ‘CS%’GROUP BY T.StudIdHAVING AVG (T.Grade) > 3.5ORDER BY DESC CumGpa, ASC StudId
Descending Ascending
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Query Evaluation with GROUP BY, HAVING, ORDER BY
1 Evaluate FROM: produces Cartesian product, A, of tables in FROM list
2 Evaluate WHERE: produces table, B, consisting of rows of A that satisfy WHERE condition
3 Evaluate GROUP BY: partitions B into groups that agree on attribute values in GROUP BY list
4 Evaluate HAVING: eliminates groups in B that do not satisfy HAVING condition
5 Evaluate SELECT: produces table C containing a row for each group. Attributes in SELECT list limited to those in GROUP BY list and aggregates over group
6 Evaluate ORDER BY: orders rows of C
A s
b
e f
o r
e
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Views• Used as a relation, but rows are not physically
stored. – The contents of a view is computed when it is used
within an SQL statement– Each time it is used (thus computed), the content might
different as underlying base tables might have changed
• View is the result of a SELECT statement over other views and base relations
• When used in an SQL statement, the view definition is substituted for the view name in the statement– As SELECT statement nested in FROM clause
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View - Example
CREATE VIEW CumGpaCumGpa (StudId, Cum) AS SELECT T.StudId, AVG (T.Grade) FROM TranscriptTranscript T GROUP BY T.StudId
SELECT S.Name, C.CumFROM CumGpaCumGpa C, StudentStudent SWHERE C.StudId = S.StudId AND C.Cum > 3.5
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View - Substitution
SELECT S.Name, C.CumFROM (SELECT T.StudId, AVG (T.Grade) FROM TranscriptTranscript T
GROUP BY T.StudId) C, StudentStudent SWHERE C.StudId = S.StudId AND C.Cum > 3.5
When used in an SQL statement, the view definition is substituted for the view name in the statement. As SELECT statement nested in FROM clause
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View Benefits
• Access Control: Users not granted access to base tables. Instead they are granted access to the view of the database appropriate to their needs.– External schemaExternal schema is composed of views.– View allows owner to provide SELECT access
to a subset of columns (analogous to providing UPDATE and INSERT access to a subset of columns)
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Views – Limiting Visibility
CREATE VIEW PartOfTranscriptPartOfTranscript (StudId, CrsCode, Semester) AS SELECT T. StudId, T.CrsCode, T.Semester -- limit columns FROM TranscriptTranscript T WHERE T.Semester = ‘S2000’ -- limit rows
Give permissions to access data through view:
GRANT SELECT ON PartOfTranscriptPartOfTranscript TO joe
This would have been analogous to:
GRANT SELECT (StudId,CrsCode,Semester) ON TranscriptTranscript TO joe
on regular tables, ifif SQL allowed attribute lists in GRANT SELECT
Grade projected out
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View Benefits (cont’d)
• Customization: Users need not see full complexity of database. View creates the illusion of a simpler database customized to the needs of a particular category of users
• A view is similar in many ways to a subroutine in standard programming– Can be reused in multiple queries
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Nulls• Conditions: x op y (where op is <, >, <>, =, etc.)
has value unknownunknown (U) when either x or y is null– WHERE T.cost > T.price
• Arithmetic expression: x op y (where op is +, –, *, etc.) has value NULL if x or y is NULL– WHERE (T. price/T.cost) > 2
• Aggregates: COUNT counts NULLs like any other value; other aggregates ignore NULLs
SELECT COUNT (T.CrsCode), AVG (T.Grade)FROM TranscriptTranscript TWHERE T.StudId = ‘1234’
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• WHERE clause uses a three-valued logic – T, F, three-valued logic – T, F, U(ndefined) –U(ndefined) – to filter rows. Portion of truth table:
• Rows are discarded if WHERE condition is F(alse) or U(nknown)
• Ex: WHERE T.CrsCode = ‘CS305’ AND T.Grade > 2.5• Q: Why not simply replace each “U” to “F”?
Nulls (cont’d)
C1 C2 C1 AND C2 C1 OR C2T U U TF U F UU U U U
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Modifying Tables – Insert
• Inserting a single row into a table– Attribute list can be omitted if it is the same as
in CREATE TABLE (but do not omit it)– NULL and DEFAULT values can be specified
INSERT INTO TranscriptTranscript(StudId, CrsCode, Semester, Grade)VALUES (12345, ‘CSE305’, ‘S2000’, NULL)
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Bulk Insertion• Insert the rows output by a SELECT
INSERT INTO DeansListDeansList (StudId, Credits, CumGpa)SELECT T.StudId, 3 * COUNT (*), AVG(T.Grade) FROM TranscriptTranscript TGROUP BY T.StudIdHAVING AVG (T.Grade) > 3.5 AND COUNT(*) > 30
CREATE TABLE DeansListDeansList (StudId INTEGER,Credits INTEGER,CumGpa FLOAT,PRIMARY KEY StudId )
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Modifying Tables – Delete • Similar to SELECT except:
– No project list in DELETE clause– No Cartesian product in FROM clause (only 1 table
name)– Rows satisfying WHERE clause (general form,
including subqueries, allowed) are deleted instead of output
DELETE FROM TranscriptTranscript TWHERE T.Grade IS NULL AND T.Semester <> ‘S2000’
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Modifying Data - Update
• Updates rows in a single table
• All rows satisfying WHERE clause (general form, including subqueries, allowed) are updated
UPDATE EmployeeEmployee ESET E.Salary = E.Salary * 1.05WHERE E.Department = ‘R&D’
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Updating Views
• Question: Since views look like tables to users, can they be updated?
• Answer: Yes – a view update changes the underlying base table to produce the requested change to the view
CREATE VIEW CsRegCsReg (StudId, CrsCode, Semester) ASSELECT T.StudId, T. CrsCode, T.SemesterFROM TranscriptTranscript TWHERE T.CrsCode LIKE ‘CS%’ AND T.Semester=‘S2000’
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Updating Views - Problem 1
• Question: What value should be placed in attributes of underlying table that have been projected out (e.g., Grade)?
• Answer: NULL (assuming null allowed in the missing attribute) or DEFAULT
INSERT INTO CsRegCsReg (StudId, CrsCode, Semester)VALUES (1111, ‘CSE305’, ‘S2000’)Tuple is in the VIEW
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Updating Views - Problem 2
• Problem: New tuple not in view
• Solution: Allow insertion (assuming the WITH CHECK OPTION clause has not been appended to the CREATE VIEW statement)
INSERT INTO CsRegCsReg (StudId, CrsCode, Semester)VALUES (1111, ‘ECO105’, ‘S2000’)
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Updating Views - Problem 3
• Update to a view might not uniquely specify the change to the base table(s) that results in the desired modification of the view (ambiguity)
CREATE VIEW ProfDeptProfDept (PrName, DeName) ASSELECT P.Name, D.NameFROM ProfessorProfessor P, DepartmentDepartment DWHERE P.DeptId = D.DeptId
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Updating Views - Problem 3 (cont’d)
• Tuple <Smith, CS> can be deleted from ProfDeptProfDept by:– Deleting row for Smith from ProfessorProfessor (but this
is inappropriate if he is still at the University)– Deleting row for CS from DepartmentDepartment (not
what is intended)– Updating row for Smith in ProfessorProfessor by setting
DeptId to null (seems like a good idea, but how would the computer know?)
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Updating Views – Restrictions• Updatable views are restricted to those in which
– No Cartesian product in FROM clause, single table
– no aggregates, GROUP BY, HAVING– …
For example, if we allowed:
CREATE VIEW AvgSalaryAvgSalary (DeptId, Avg_Sal )
AS SELECT E.DeptId, AVG(E.Salary) FROM EmployeeEmployee E GROUP BY E.DeptId
then how do we handle:
UPDATE AvgSalaryAvgSalary SET Avg_Sal = 1.1 * Avg_Sal
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Relational Algebra and SQL Exercises
• Professor(ssn, profname, status)
• Course(crscode, crsname, credits)
• Taught(crscode, semester, ssn)
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Query 1
Return those professors who have taught ‘csc6710’ but never ‘csc7710’.
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Relational Algebra Solution
ssn(crscode=‘csc6710’(Taught))-ssn(crscode=‘csc7710’(Taught))
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SQL Solution
(SELECT ssn From TaughtWhere crscode = ‘CSC6710’)EXCEPT(SELECT ssn From TaughtWhere crscode = ‘CSC7710’))
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Query 2
Return those professors who have taught both ‘csc6710’ and ‘csc7710’.
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Relational Algebra Solution
ssn(crscode=‘csc6710’ crscode=‘csc7710’ (Taught), wrong!
ssn(crscode=‘csc6710’(Taught)) ssn(crscode=‘csc7710’(Taught)), correct!
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SQL Solution
SELECT T1.ssn From Taught T1, Taught T2,Where T1.crscode = ‘CSC6710’ AND T2.crscode=‘CSC7710’ AND T1.ssn=T2.ssn
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Query 3
Return those professors who have never taught ‘csc7710’.
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Relational Algebra Solution
ssn(crscode<>‘csc7710’(Taught)), wrong answer!
ssn(Professor)-ssn(crscode=‘csc7710’(Taught)), correct answer!
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SQL Solution
(SELECT ssn From Professor)EXCEPT(SELECT ssn From Taught TWhere T.crscode = ‘CSC7710’)
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Query 4
Return those professors who taught ‘CSC6710’ and ‘CSC7710” in the same semester
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Relational Algebra Solution
ssn(crscode1=‘csc6710’(Taught[crscode1, ssn, semester]) crscode2=‘csc7710’(Taught[crscode2, ssn, semester]))
Relational Algebra Solution
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SQL Solution
SELECT T1.ssn From Taught T1, Taught T2,Where T1.crscode = ‘CSC6710’ AND T2.crscode=‘CSC7710’ AND T1.ssn=T2.ssn AND T1.semester=T2.semester
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Query 5
Return those professors who taught ‘CSC6710’ or ‘CSC7710” but not both.
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Relational Algebra Solution
ssn(crscode<>‘csc7710’ crscode=‘csc7710’(Taught))-(ssn(crscode=‘csc6710’(Taught)) ssn(crscode=‘csc7710’(Taught)))
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SQL Solution
(SELECT ssnFROM Taught TWHERE T.crscode=‘CSC6710’ OR T.crscode=‘CSC7710’)Except(SELECT T1.ssn From Taught T1, Taught T2,Where T1.crscode = ‘CSC6710’) AND T2.crscode=‘CSC7710’ AND T1.ssn=T2.ssn)
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Query 6
Return those courses that have never been taught.
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Relational Algebra Solution
crscode(Course)-crscode(Taught)
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SQL Solution
(SELECT crscodeFROM Course)EXCEPT(SELECT crscodeFROM TAUGHT)
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Query 7
Return those courses that have been taught at least in two semesters.
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Relational Algebra Solution
crscode( semester1 <> semester2(
Taught[crscode, ssn1, semester1] Taught[crscode, ssn2, semester2]))
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SQL Solution
SELECT T1.crscodeFROM Taught T1, Taught T2WHERE T1.crscode=T2.crscode AND T1.semester <> T2.semester
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Query 8
Return those courses that have been taught at least in 10 semesters.
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SQL Solution
SELECT crscodeFROM TaughtGROUP BY crscodeHAVING COUNT(*) >= 10
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Query 9
Return those courses that have been taught by at least 5 different professors.
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SQL Solution
SELECT crscodeFROM (SELECT DISTINCT crscode, ssn FROM TAUGHT) GROUP BY crscodeHAVING COUNT(*) >= 5
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Query 10
Return the names of professors who ever taught ‘CSC6710’.
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Relational Algebra Solution
profname(crscode=‘csc6710’(Taught) Professor)
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SQL Solution
SELECT P.profnameFROM Professor P, Taught TWHERE P.ssn = T.ssn AND T.crscode = ‘CSC6710’
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Query 11
Return the names of full professors who ever taught ‘CSC6710’.
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Relational Algebra Solution
profname(crscode=‘csc6710’(Taught) status=‘full’(Professor))
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SQL Solution
SELECT P.profnameFROM Professor P, Taught TWHERE P.status = ‘full’ AND P.ssn = T.ssn AND T.crscode = ‘CSC6710’
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Query 12
Return the names of full professors who ever taught more than two courses in one semester.
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SQL Solution
SELECT P.profnameFROM Professor PWHERE ssn IN(SELECT ssnFROM TaughtGROUP BY ssn, semesterHAVING COUNT(*) > 2)
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Query 13
Delete those professors who never taught a course.
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SQL Solution
DELETE FROM ProfessorWHERE ssn NOT IN(SELECT ssnFROM Taught)
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Query 14
Change all the credits to 4 for those courses that are taught in f2006 semester.
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SQL Solution
UPDATE CourseSET credits = 4WHERE crscode IN( SELECT crscode FROM Taught WHERE semester = ‘f2006’)
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Query 15
Return the names of the professors who have taught more than 30 credits of courses.
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SQL Solution
SELECT profnameFROM ProfessorWHERE ssn IN( SELECT T.ssn FROM Taught T, Course C WHERE T.crscode = C.crscode GROUP BY T.ssn HAVING SUM(C.credits) > 30)
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Query 16
Return the name(s) of the professor(s) who taught the most number of courses in S2006.
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SQL Solution
SELECT profname FROM Professor WHERE ssn IN( SELECT ssn FROM Taught WHERE semester = ‘S2006’ GROUP BY ssn HAVING COUNT(*) = (SELECT MAX(Num) FROM (SELECT ssn, COUNT(*) as Num FROM Taught WHERE semester = ‘S2006’ GROUP BY ssn) ))
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Query 17
List all the course names that professor ‘Smith” taught in Fall of 2007.
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Relational Algebra Solution
crsname(profname=‘Smith’(Professor) semester=‘f2007’(Taught)
Course)
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SQL Solution
SELECT crsnameFROM Professor P, Taught T, Course CWHERE P.profname = ‘Smith’ AND P.ssn = T.ssn AND T.semester = ‘F2007’ AND T.crscode = C.crscode
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Query 18
In chronological order, list the number of courses that the professor with ssn ssn = 123456789 taught in each semester.
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SQL Solution
SELECT semester, COUNT(*)FROM TaughtWHERE ssn = ‘123456789’GROUP BY semesterORDER BY semester ASC
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Query 19
In alphabetical order of the names of professors, list the name of each professor and the total number of courses she/he has taught.
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SQL Solution
SELECT P.profname, COUNT(*)FROM Professor P, Taught TWHERE P.ssn = T.ssnGROUP BY P.ssn, P.profnameORDER BY P.profname ASC
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Query 20
Delete those professors who taught less than 10 courses.
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SQL Solution
DELETE FROM ProfessorWHERE ssn IN( SELECT ssn FROM Taught GROUP BY ssn HAVING COUNT(*) < 10)
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Query 21
Delete those professors who taught less than 40 credits.
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SQL Solution
DELETE FROM ProfessorWHERE ssn IN( SELECT T.ssn FROM Taught T, Course C WHERE T.crscode = C.crscode GROUP BY ssn HAVING SUM(C.credits) < 40)
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Query 22
List those professors who have not taught any course in the past three semesters (F2006, W2007, F2007).
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SQL Solution
SELECT *FROM Professor PWHERE NOT EXISTS( SELECT * FROM Taught WHERE P.ssn = T.ssn AND (T.semester = ‘F2006’ OR T.semester = ‘W2007’ OR T.semester=‘F2007’)))
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Query 23
List the names of those courses that professor Smith have never taught.
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Relational Algebra Solution
crsname(Course)-crsname(profname=‘Smith’(Professor) (Taught)
Course)
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SQL Solution
SELECT crsnameFROM Course CWHERE NOT EXISTS SELECT * FROM Professor P, Taught T WHERE P.profname=‘Smith’ AND P.ssn = T.ssn AND T.crscode = C.crscode)
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Query 24
Return those courses that have been taught by all professors.
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Relational Algebra Solution
crscode, ssn(Taught)/ ssn(Professor)
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SQL Solution
SELECT crscodeFROM Taught T1WHERE NOT EXISTS( (SELECT ssn FROM Professor) EXCEPT (SELECT ssn FROM Taught T2 WHERE T2.crscode = T1.crscode))
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Query 25
Return those courses that have been taught in all semesters.
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Relational Algebra Solution
crscode, semester(Taught)/ semester(Taught)
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SQL Solution
SELECT crscodeFROM Taught T1WHERE NOT EXISTS( (SELECT semester FROM Taught) EXCEPT (SELECT semester FROM Taught T2 WHERE T2.crscode = T1.crscode))
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Query 25
Return those courses that have been taught ONLY by junior professors.
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Relational Algebra Solution
crscode(Course) - crscode (status‘Junior’(Professor) Taught)
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SQL Solution
SELECT crscodeFROM Course CWHERE c.crscode NOT IN( (SELECT crscode FROM Taught T, Professor P WHERE T.ssn = P.ssn AND P.status=‘Junior’)