(2) Let P (x, y) : x plays in y." A(x): x is athletic." S(x) :x is smart." E(y) : y is in English league." F (y) : y is famous." Assume the domain of x is all players and the domain of y is all football teams. Answer the following questions. (a) Write the symbolic for: Some smart and athletic players play in some English league teams (b) Write the English for: 3y A(MohamedSalah) ^ E(y) ^ P (MohamedSalah, y). (c) Rewrite the statement starting with "Some... ": Not all smart players play in some famous teams

(2) Let P (x, y) : x plays in y." A(x): x is athletic." S(x) :x is smart." E(y) : y is in English league." F (y) : y is famous." Assume the domain of x is all players and the domain of y is all football teams. Answer the following questions. (a) Write the symbolic for: Some smart and athletic players play in some English league teams (b) Write the English for: 3y A(MohamedSalah) ^ E(y) ^ P (MohamedSalah, y). (c) Rewrite the statement starting with "Some... ": Not all smart players play in some famous teams

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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B3.
Definition of 3SAT : In the 3SAT problem, the input is a Boolean expression formed by m clause and n variables (each variable x can have a positive literal x and negative literal x). Each clause formed by disjunction of threeliterals and the formula is formed by the conjunction of the m clauses. For example, the following formulais an instance of the 3SAT problem: (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3), which is formed by 3 variables x1, x2, x3 and three clauses. The objective is to find an assignment of Boolean values to variables to satisfy the formula. In the example above, one possible satisfying assignment is to let x1 to be false and x2, x3 to be true. Problem : A 2SAT formula is a conjunction of clauses like a 3SAT formula, except that each clause is a disjunction of 2 literals (rather than 3). For example (x1 ∨ x2) ∧ (x2 ∨ x3) ∧ (x3 ∨ x1) is a 2SAT formula.Use consistency model to provide a 2SAT formula consistent with the following labelled data (or specifythat…
PLEASE TYPE Exercise 1.7.10: Determining whether a quantified logical statement is true, part 2. A student club holds a meeting. The predicate M(x) denotes whether person x came to the meeting on time. The predicate O(x) refers to whether person x is an officer of the club. The predicate D(x) indicates whether person x has paid his or her club dues. The domain is the set of all members of the club. The names of the members and their truth values for each of the predicates is given in the following table. Indicate whether each expression is true or false. If a universal statement is not true, give a counterexample. If an existential statement is true, give an example. Name M(x) O(x) D(x) Hillary T F T Bernie F T F Donald F T F Jeb F T T Carly F T F (i) ∃x (O(x) → M(x)) (j) ∃x (M(x) ∧ O(x) ∧ D(x))
Please answer the question 4, 5, 6
1. Making the arrangements. My garden features a number of flower beds. As a person of particular tastes, I have a rating system for how lovely a pairing of flowers is. I encode these ratings in a huge table: Rose Daisy Tulip Sunflower Rose Daisy Tulip 3 -2 5 - - Sunflower 0 1 -4 (You may assume that the table can include any (finite) number of types of flowers; loveliness ratings are integers; and that flower names are arbitrary and can be invented.) The loveliness of a flowerbed is the total rating of all pairs of flower types in the flowerbed. The LOVELY-FLOWERBED problem is to determine, given my preferences as a table in the form described above and an integer , whether I can have a flowerbed whose total loveliness rating is at least l. (a) After ruining my garden path, Alfie suggests that the following greedy approach will solve the LOVELY-FLOWERBED problem: Choose the first flower as the one that has the highest total loveliness with all other flower types. Choose the next…
Consider a function ite (for if then else) which takes three arguments: a boolean, an expression to evaluate if the boolean is true, and a second expression to evaluate if the boolean is false. a) Given the lambda expressions for boolean constants and operators, write the lambda expression for this ite function. b) Write the lambda expression for a function iteite (for if then elseif then else) which takes five arguments: a boolean, an expression to evaluate if the boolean is true, another boolean, an expression to evaluate if the second boolean is true, and a third expression to evaluate if both booleans are false. You may assume that a correct implementation of function ite from (a) is available to you, and use it if you like.
main.c Test Case 1-Input is 14 and expected output-Teenager Test Case 2-Input is 2 and expected output-Child Test Case 3-Input is 60 and expected output-Senior Citizen
Ending:The clinic runs in two six hour shifts (7a.m to 2p.m) and (2p.m to 8p.m). Managershould be able to schedule doctors, nurses, and secretaries for shifts. Doctors arepaid by the government but the Manager is supposed to pay salary to all otheremployees based on their hours worked. The system should be able to store thisinformation and the manager should be able to generate a bi weekly report for thehours worked by the nurses and secretaries and therefore calculate their salaries(assume reasonable hourly rates for nurses and secretaries). QUESTION:Create a query that returns a list of all patients and their family member(add a column primary member id in the patient table; make one patientas the primary member and then create another column calledrelationship and add husband, wife, son, daughter etc.)
For each of the following statements about languages (i.e. sets of words), state whether they are true or false
Let B(x) be the statement "X is a ball", R(x) be the statement "X is round and let S(x) be the statements "X is a soccer ball" where the domain consists of the whole world. Write the following sentences using predicates and qunitifiers: a) All balls are round b) Some soccer balls are round c) Some soccer balls are not round d) Every soccer ball is round e) A soccer ball is roundUser A for the universal quantifier symbol and E for the existential quantifier symbol
10. Let p be the statement “He gets frustrated.” and q be the statement “He will be able to complete the job.” Translate ~(p ∧ q) into the equivalent statement.
20. An employee in a company gets special allowance based on employee category. Input his basic salary and category. Calculate and print the special allowance. (Use switch-case) Category Special Allowance M or m 15% of Basic salary T or t 10% of basic salary C or c 7.5% of Basic salary |Any other 3% of basic salary