Database design and implementation CMPSCI 645. Lecture 04: SQL and Datalog

Transcription

1 Database design and implementation CMPSCI 645 Lecture 04: SQL and Datalog

2 What you need } Install Postgres. } Instruc0ons are on the assignments page on the website. } Use it to prac0ce } Refresh your SQL: } h?p://sqlzoo.net 2

3 Simple SQL query SELECT!* FROM!Product WHERE!category='Gadgets'! Product PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks Powergizmo $29.99 Gadgets GizmoWorks SingleTouch $ Photography Canon Mul0Touch $ Household Hitachi category= Gadgets Selec0on PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks Powergizmo $29.99 Gadgets GizmoWorks 3

4 Simple SQL query pname,price,manuf acturer Product PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks Powergizmo $29.99 Gadgets GizmoWorks SingleTouch $ Photography Canon Mul0Touch $ Household Hitachi SELECT!pName, price, manufacturer FROM!Product WHERE!price > 100! price>100 Selec0on & Projec0on PName Price Manufacturer SingleTouch $ Canon Mul0Touch $ Hitachi 4

5 Eliminating duplicates Product PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks PowerGizmo $29.99 Gadgets GizmoWorks SingleTouch $ Photography Canon Mul0Touch $ Household Hitachi SELECT!category FROM!Product! SELECT!DISTINCT category FROM!Product! Set vs. Bag seman0cs Category Gadgets Gadgets Photography Household Category Gadgets Photography Household 5

6 Ordering the results SELECT!!pName, price, manufacturer! FROM!!Product! WHERE!!category='Gadgets'!!!and price > 10! ORDER BY!price, pname! } Ties in price a"ribute broken by pname a?ribute } Ordering is ascending by default. Descending:... ORDER BY price, pname DESC! 6

7 Product PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks Powergizmo $29.99 Gadgets GizmoWorks SingleTouch $ Photography Canon Mul0Touch $ Household Hitachi SELECT DISTINCT category! FROM Product! ORDER BY category! SELECT category! FROM Product! ORDER BY pname! SELECT DISTINCT category! FROM Product! ORDER BY pname!??? 7

8 Product PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks Powergizmo $29.99 Gadgets GizmoWorks SingleTouch $ Photography Canon Mul0Touch $ Household Hitachi SELECT DISTINCT category! FROM Product! ORDER BY category! SELECT category! FROM Product! ORDER BY pname! SELECT DISTINCT category! FROM Product! ORDER BY pname! Category Gadgets Household Photography Category Gadgets Household Gadgets Photography Syntax error* 8

9 Joins Product (pname, price, category, manufacturer) Company (cname, stockprice, country) Q: Find all products under $200 manufactured in Japan; return their names and prices! SELECT!pName, price FROM!Product, Company WHERE!manufacturer=cName!!and country='japan'!and price <= 200! Join between Product and Company 9

10 Joins Product PName Price Category Manufacturer Gizmo $19.99 Gadgets GizmoWorks Powergizmo $29.99 Gadgets GizmoWorks SingleTouch $ Photography Canon Mul0Touch $ Household Hitachi Company CName StockPrice Country GizmoWorks 25 USA Canon 65 Japan Hitachi 15 Japan SELECT!pName, price FROM!Product, Company WHERE!manufacturer=cName!!and country='japan'!and price <= 200! PName Price SingleTouch $

11 Semantics are tricky What do these queries compute? R(a), S(a), T(a) SELECT!DISTINCT R.a! FROM!R, S! WHERE!R.a=S.a! Returns R S SELECT!DISTINCT R.a! FROM!R, S, T! WHERE!R.a=S.a!!or R.a=T.a! If S and T then returns R (S T) else returns 11

12 Formal semantics of SQL queries SELECT!a 1, a 2,, a k! FROM!R 1 as x 1, R 2 as x 2,, R n as x n! WHERE!Conditions! Conceptual evalua0on strategy (nested for loops): Answer = {} for x 1 in R 1 do for x 2 in R 2 do.. for x n in R n do if Condi0ons then Answer = Answer {(a 1,,a k )} return Answer 12

13 Joins introduce duplicates Product Company PName Price Category Manufacturer CName StockPrice Country Gizmo $19.99 Gadgets GizmoWorks GizmoWorks 25 USA Powergizmo $29.99 Gadgets GizmoWorks Canon 65 Japan SingleTouch $ Photography Canon Hitachi 15 Japan Mul0Touch $ Household Hitachi SELECT!country! FROM!Product, Company WHERE!manufacturer = cname! and category = 'Gadgets'! Remember to use DISTINCT Country USA USA Q: Find all countries that manufacture some product in the Gadgets category! 13

14 Subqueries } A subquery is a SQL query nested inside a larger query } Such inner-outer queries are called nested queries } A subquery may occur in: } A SELECT clause } A FROM clause } A WHERE clause } Rule of thumb: avoid wri0ng nested queries when possible; keep in mind that some0mes it s impossible 14

15 1. Subqueries in SELECT Product (pname, price, cid) Company (cid, cname, city) Q: For each product return the city where it is manufactured! SELECT!P.pname, (SELECT!C.city!!! FROM!!Company C!!! WHERE!!C.cid = P.cid)! FROM!Product P! What happens if the subquery returns more than one city? Run0me error 15

16 1. Subqueries in SELECT Product (pname, price, cid) Company (cid, cname, city) Q: For each product return the city where it is manufactured! SELECT!P.pname, (SELECT!C.city!!! FROM!!Company C!!! WHERE!!C.cid = P.cid)! FROM!Product P! "unnes0ng the query" SELECT!P.pname, C.city! FROM!Product P, Company C! WHERE!C.cid = P.cid! Whenever possible, don't use nested queries 16

17 2. Subqueries in FROM Product (pname, price, cid) Company (cid, cname, city) Q: Find all products whose prices are > 20 and < 30! SELECT!X.pname! FROM!(SELECT! *!! FROM! Product as P!! WHERE! price >20 ) as X! WHERE!X.price < 30! unnes0ng SELECT!pname! FROM!Product! WHERE!price > 20 and price < 30! 17

18 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Using EXISTS: Existen0al quan0fiers Q: Find all companies that make some products with price < 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!EXISTS!(SELECT!*!!! FROM!!Product P!!! WHERE!!C.cid = P.cid!!!!!and P.price < 100)! 18

19 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Using IN: Existen0al quan0fiers Q: Find all companies that make some products with price < 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!C.cid IN!(SELECT P.cid!!! FROM! Product P!!! WHERE! P.price < 100)! 19

20 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Using ANY: Existen0al quan0fiers Q: Find all companies that make some products with price < 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!100 > ANY!(SELECT price!!! FROM!Product P!!! WHERE!P.cid = C.cid)! 20

21 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Now, let's unnest: Existen0al quan0fiers Q: Find all companies that make some products with price < 100! SELECT!DISTINCT C.cname! FROM!Company C, Product P! WHERE!C.cid = P.cid!!and P.price < 100! Existen0al quan0fiers are easy! J 21

22 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Universal quan0fiers Q: Find all companies that make only products with price < 100! same as: Q: Find all companies for which all products have price < 100! Universal quan0fiers are more complicated! L 22

23 3. Subqueries in WHERE 1. Find the other companies: i.e. they have some product 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!C.cid IN (SELECT P.cid!!! FROM! Product P!!! WHERE! P.price >= 100)! 2. Find all companies s.t. all their products have price < 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!C.cid NOT IN (SELECT P.cid!!! FROM!! Product P!!! WHERE! P.price >= 100)! 23

24 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Using NOT EXISTS: Universal quantifiers Q: Find all companies that make only products with price < 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!NOT EXISTS!(SELECT *!!! FROM!Product P!!! WHERE!C.cid = P.cid!!!!and P.price >= 100)! 24

25 3. Subqueries in WHERE Product (pname, price, cid) Company (cid, cname, city) Using ALL: Universal quantifiers Q: Find all companies that make only products with price < 100! SELECT!DISTINCT C.cname! FROM!Company C! WHERE!100 > ALL!(SELECT price!!! FROM Product P!!! WHERE P.cid = C.cid)! 25

26 Challenging question } How can we unnest the universal quanlfier query? 26

27 Queries that must be nested } A query Q is monotone if: } Adding tuples to the input cannot remove tuples from the output } Fact: all unnested queries are monotone } Proof: using the nested for loops seman0cs } Fact: Query with universal quan0fier is not monotone } Add one tuple viola0ng the condi0on. Then not "all"... } Consequence: we cannot unnest a query with a universal quan0fier 27

28 The drinkers-bars-beers example Likes(drinker, beer) Frequents(drinker, bar) Serves(bar, beer) Challenge: write these in SQL Find drinkers that frequent some bar that serves some beer they like. Find drinkers that frequent only bars that serve some beer they like. Find drinkers that frequent some bar that serves only beers they like. Find drinkers that frequent only bars that serve only beer they like. 28

29 Aggregation SELECT!avg(price)! FROM!Product! WHERE!maker='Toyota'! SELECT!count(*)! FROM!Product! WHERE!year > 1995! SQL supports several aggrega0on opera0ons: sum, count, min, max, avg Except count, all aggrega0ons apply to a single a?ribute 29

30 Aggregation: count distinct COUNT applies to duplicates, unless otherwise stated: SELECT!count (category)! FROM!Product! WHERE!year > 1995! We probably want: SELECT!count (DISTINCT category)! FROM!Product! WHERE!year > 1995! 30

31 Simple aggregation Purchase Product Price Quan0ty Bagel 3 20 Bagel 2 20 Banana 1 50 Banana * 20 = 60 2 * 20 = 40 sum: 100 Banana 4 10 can use arithme0c expressions SELECT!sum (price * quantity)! FROM!Purchase! WHERE!product = 'Bagel'! SQL creates a?ribute name (No column name)

32 Grouping and Aggregation Product Price Quan0ty Bagel 3 20 Bagel 2 20 Banana 1 50 Banana 2 10 Banana 4 10 Product TotalSales Bagel 40 Banana 20 Find total quanlles for all sales over $1, by product. 32

33 From Where Group By Select Product Price Quan0ty Bagel 3 20 Bagel 2 20 Banana 1 50 Banana 2 10 Banana 4 10 Product Bagel 40 Banana 20 TotalSales Select contains grouped a?ributes and aggregates SELECT!product, sum(quantity) as TotalSales! FROM!Purchase! WHERE!price > 1! GROUP BY!product! 33

34 Another example SELECT! product,!! sum(quantity) as SumQuantity,!! max(price) as MaxPrice! FROM! Purchase! GROUP BY product! Product TotalSales MaxPrice Bagel 40 3 Banana 70 4 Next, focus only on products with at least 50 sales 34

35 HAVING clause SELECT! product,!! sum(quantity) as SumQuantity,!! max(price) as MaxPrice! FROM! Purchase! GROUP BY product! HAVING! sum(quantity) >= 50! Product TotalSales MaxPrice Banana 70 4 Q: Similar to before, but only products with at least 50 sales. 35

36 General form of grouping and aggregation SELECT!S! FROM!R 1,,R n WHERE!C1! GROUP BY!a 1,,a k HAVING!C2! S: may contain a?ributes a 1,,a k and/or any aggregates but no other a?ributes C1: is any condi0on on the a?ributes in R 1,,R n C2: is any condi0on on aggregates and on a?ributes a 1,,a k Evalua0on 1. Evaluate From Where, apply condi0on C1 2. Group by the a?ributes a 1,,a k 3. Apply condi0on C2 to each group (may have aggregates) 4. Compute aggregates in S and return the result 36

37 Finding witnesses Store(sid, sname) Product(pid, pname, price, sid) Q: For each store, find its most expensive products Finding the maximum price is easy SELECT Store.sid, max(product.price)! FROM Store, Product! WHERE Store.sid = Product.sid! GROUP BY Store.sid! But we want the witnesses, i.e. the products with max price 37

38 Finding witnesses } Compute max price in a subquery } Compare it with each product price SELECT Store.sname, Product.pname FROM Store, Product, (SELECT Store.sid as sid,!!!! max(product.price) as p! FROM Store, Product!! WHERE Store.sid = Product.sid!! GROUP BY Store.sid) X! WHERE Store.sid = Product.sid and Store.sid = X.sid! and Product.price = X.p! 38

39 Finding witnesses There is a more concise solu0on here: SELECT Store.sname, x.pname! FROM Store, Product x! WHERE Store.sid = x.sid! and x.price >= ALL (SELECT y.price FROM Product y WHERE Store.sid = y.sid)! 39

40 NULLS in SQL } Whenever we don t have a value, we can put a NULL } Can mean many things: } Value does not exists } Value exists but is unknown } Value not applicable } Etc. } The schema specifies for each a?ribute if it can be NULL or not } How does SQL cope with tables that have NULLs? 40

41 Null values } If x= NULL then } Arithme0c opera0ons produce NULL. E.g: 4*(3-x)/7 } Boolean condi0ons are also NULL. E.g: x= Joe } In SQL there are three boolean values: FALSE, TRUE, UNKNOWN } Reasoning: FALSE = 0 x AND y = min(x,y) TRUE = 1 x OR y = max(x,y) UNKNOWN = 0.5 NOT x = (1 x) 41

42 SELECT *! FROM Person! WHERE (age < 25) and!! (height > 6 or weight > 190)! Age Height Weight 20 NULL 200 NULL Rule in SQL: include only tuples that yield TRUE SELECT *! FROM Person! WHERE age < 25 or age >= 25! SELECT *! FROM Person! WHERE age < 25 or age >= 25! or age IS NULL! Unexpected behavior Test NULL explicitly 42

43 Outer joins Product(name, category) Purchase(prodName, store) If we want the never-sold products, we need an outerjoin : SELECT Product.name, Purchase.store! FROM Product LEFT OUTER JOIN Purchase ON! Product.name = Purchase.prodName! Product Name Gizmo Camera OneClick Category Gadget Photo Photo Purchase ProdName Store Gizmo Camera Camera Wiz Ritz Wiz Result Name Gizmo Camera Camera OneClick Store Wiz Ritz Wiz NULL Inner join does not produce this tuple 43

44 Example Product(name, category) Purchase(prodName, month, store) } Compute, for each product, the total number of sales in September SELECT!Product.name, count(*)! FROM Product, Purchase! WHERE!Product.name = Purchase.prodName!!and Purchase.month = September! GROUP BY Product.name! What s wrong? 44

45 Example Product(name, category) Purchase(prodName, month, store) } Compute, for each product, the total number of sales in September SELECT!Product.name, count(*)! FROM Product LEFT OUTER JOIN Purchase ON!! Product.name = Purchase.prodName! WHERE Purchase.month = September! GROUP BY Product.name! What s wrong? 45

46 Example Product(name, category) Purchase(prodName, month, store) } Compute, for each product, the total number of sales in September We need to use the a?ribute to get the correct 0 count. SELECT!Product.name, count(month)! FROM Product LEFT OUTER JOIN Purchase ON!!!Product.name = Purchase.prodName! WHERE Purchase.month = September! GROUP BY Product.name! 46

47 Datalog 47

48 Datalog } Friendly nota0on for queries } Designed for recursive queries in the 80s. } Today: in a couple of commercial products, e.g., LogicBlox, Datomic } Today: recursion-free datalog with nega0on 48

49 Datalog: Facts and Rules Facts = tuples in the database Actor(34524, Johnny, Depp ) Casts(34524, 28756) Casts(67725, 28756) Movie(28756, Sweeney Todd, 2007) Movie(28757, The Da Vinci Code, 2006) Rules = queries Q1(y) :- Movie(x,y,z), z= 2007 Find movies made in 2007 Q2(f,l) :- Actor(z,f,l), Casts(z,x), Movie(x,y, 2007 ) Q3(f,l) :- Actor(z,f,l), Casts(z,x1), Movie(x1,y, 2007 ), Casts(z,x2), Movie(x2,y2, 2006 ) Find actors who acted in a movie in 2007 Find actors who acted in a movie in 2007 and in

50 EDB and IDB Q2(f,l) :- Actor(z,f,l), Casts(z,x), Movie(x,y, 2007 ) } Extensional Database Predicates: EDB } Actor, casts, movie } Inten0onal Database Predicates: IDB } Q1, Q2, Q3 50

51 Terminology Q2(f,l) :- Actor(z,f,l), Casts(z,x), Movie(x,y, 2007 ) atom atom atom head body f, l : head variables x, y, z : existen0al variables 51

52 Datalog Program union B0(x) :- Actor(x, Kevin, Bacon ) B1(x) :- Actor(x,f,l), Casts(x,z),Casts(y,z),B0(y) B2(x) :- Actor(x,f,l), Casts(x,z),Casts(y,z),B1(y) Q4(x) :- B1(x) Q4(x) :- B2(x) Find actors with Bacon number 2 52

53 Simple datalog programs What does this compute? T(x,y) :- R(x,y) T(x,y) :- R(x,z) T(z,y) 2 3 R=

54 Simple datalog programs What does this compute? T(x,y) :- R(x,y) T(x,y) :- R(x,z) T(z,y) 2 3 T is ini0ally empty R=

55 Simple datalog programs What does this compute? T(x,y) :- R(x,y) T(x,y) :- R(x,z) T(z,y) st itera0on R=

56 Simple datalog programs What does this compute? T(x,y) :- R(x,y) T(x,y) :- R(x,z) T(z,y) st itera0on nd itera0on R=

57 Simple datalog programs What does this compute? T(x,y) :- R(x,y) T(x,y) :- R(x,z) T(z,y) st itera0on nd itera0on rd itera0on R=

58 Datalog with Negation B0(x) :- Actor(x, Kevin, Bacon ) B1(x) :- Actor(x,f,l), Casts(x,z),Casts(y,z),B0(y) Q5(x) :- Actor(x,f,l), not B1(x), not B0(x) Find actors with Bacon number 2 58

59 Recursion and negation: L EDB: R(a) S(x) :- R(x), not T(x) T(x) :- R(x), not S(x) The fixpoint in unclear! 59

60 Unsafe Datalog Rules What is unsafe about these rules? U1(x,y) :- Movie(x,z, 2007 ), y > 2000 U2(x,u) :- Movie(x,z, 2007 ), not Casts(u,x) A rule is safe if every variable appears in some posi0ve rela0onal atom 60