e. R is a relation on ZxZZ such that ((a, b), (c, d)) ER if and only if a+b>c+d.
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- Explain principle of substitutability with suitable example?Hi, can someone help me with this? This is about Axiomatic Systems. Create an axiomatic system consisting of three rules.Based on the set of rules that have been created:1. Identify the undefined/defined terms in the axiomatic system. Classify each term as to whether it is an element or a relation. 2. Make a concrete model of the axiomatic system, and verify the correctness of the model. 3. Check if the axiomatic system is consistent.Write this in relation algebra select C.sid,C.sname from book A,reservation B,student Cwhere A.bid=B.bid and B.sid=C.sid and A.theme='Drama'
- Consider the relation instance and functional dependencies below. Which of these FDs hold on the instance and which do not? A BC 2 4 АВ — С A → B A → C В > с АС — В ВС — А 3 4 В > А C → A C → B 1 3 5 2 4Complete the following clojure program to add two new family relations (Niece and Nephew) as well as testing the validity of these relations: (ns logic-family-relations (:refer-clojure :exclude [==]) (:use [clojure.core.logic])(:use [clojure.core.logic.pldb])) (db-rel parent x y) (db-rel male x) (db-rel female x) (defn child [x y] (parent y x)) (defn son [x y] (all(child x y) (male x)))(defn daughter [x y] (all(child x y) (female x)))OO questions A person has borrowed some books from a library. This can be represented as one to many associations. Please implant this bidirectional association considering that there is no order of the books.
- Let a bus timetable be represented by a list of routes where each route is repre- sented by Start/End/DepatureTime/ArrivalTime. Both DepartureTime and ArrivalTime are represented by a relation time(Hour,Minutes). Write a Prolog relation journey(Start, End) that is true if there is a route in the timetable that can get a passenger from Startto End directly or any number of intermediate stops where there is at least 10 minutes between the arrival at an intermediate point before the departure of the next leg of the journey. Assume the clock is a 24 hour clock and all departure and arrival times occur within the same day.Define referential integrity constraints. I need the answer in short sentences thanksTRUE OR FALSE In the Relational Data Model, Referential Integrity Constraint is a special kind/case of Foreign Key Constraint. Multiple Inheritance happens when a class has more than one sub-class. This problem can be observed in Programming Languages as well. Given two relations named A and B, if we q-JOIN A and B, the maximum number of attributes in the result relation could be (the number of attributes of A) times(*) the number of attributes of B). * in an SQL SELECT statement means “all the tuples”. In relational algebra, Cartesian Product (X) can be implemented using the q-JOIN operator. Cartesian Product ISA q-JOIN where q-condition always evaluates to true. SQL is based on Predicate Calculus. A query in SQL always specifies what should be included in the query result.
- Preamble: The following set of facts describe a family tree. The relation parent(A,B) is true if B is a parent of A. The relation male(X) is true if X is a male. The relation female(X) is true if X is a female. An example set of facts is: parent(carol, paul). parent(carol, jane). parent(harry, tom). parent(harry, mary). parent(jim, tom). parent(jim, mary). parent(ann, tom). parent(ann, mary). parent(tim, harry). parent(tim, carol). parent(george, harry). parent(george, carol). parent(jenny, harry). parent(jenny, carol). parent(david, jim). parent(david joan). parent(kate, jim). parent(kate joan). parent(susan, dominic). parent(susan ann). male(paul). male(tom). male(harry). male(jim). male(dominic). male(tim). male(george). male(david). female(jane). female(mary). female(carol). female(joan). female(ann). female(jenny). female(kate). female(susan). Using the facts described in the Preamble write the following relations: mother(X,Y) which is true if X is the mother of Y.…For each of the following relations, determine whether the relation is: • Transitive. • A partial order. • A strict order. • An equivalence relation. Reflexive. Anti-reflexive. Symmetric. • Anti-symmetric. Justify all your answers. a. Ris a relation on the set of all people such that (a, b) e R if and only if a and b have a common grandparent. b. Ris a relation on Z such that (x, y) E R if and only if |x – y| < 2. c. Ris a relation on Z* such that (x, y) E R if and only if x is divisible by y. Hint: An integer x is divisible by an integer y with y # 0 if and only if there exists an integer k such that x = yk. d. Ris a relation on Z* such that (x, y) E R if and only if there is a positive integer n such that x" = y. e. Ris a relation on Z x Z such that ((a, b), (c, d)) E R if and only if a < c and b < d.Give an example of each of the following: Keys of Nature Primary Keys That Combine Surrogate Primary Keys are keys that are used in place of the original primary keys.