Please answer with explanations. 8. Let C'(x) be the statement "x has a pet cat," let D(r) be the statement"x has a dog," let H(r) be the statement "x has a horse," let E(x) be thestatement "x eats eggs," and let A(r) be the statement "x has allergies toanimals." Express each of these statements in terms of C(x), D(x), H(x),E(x), A(x), quantifiers, and logical connectives. Let the domain consistof all people.a) Any person with allergies to animals cannot own dogs, or cats butcan eat eggs.b) Nobody owns all three animals, but everyone owns a dog.c) Each type of the three animals is owned by at least one person whoeats eggs.

A(x) is the statement defined in the problem, it says "x is allergic to animals". Quantifiers are…

8. Let C(r) be the statement "x has a pet cat," let D(x) be the statement "x has a dog," let H(a) be the statement "x has a horse," let E(x) be the statement "x eats eggs," and let A(x) be the statement "x has allergies to animals." Express each of these statements in terms of C(x), D(x), H(x), E(x), A(z), quantifiers, and logical connectives. Let the domain consist of all people. a) Any person with allergies to animals cannot own dogs, or cats but can eat eggs. b) Nobody owns all three animals, but everyone owns a dog. c) Each type of the three animals is owned by at least one person who eats eggs.

8. Let C(r) be the statement "x has a pet cat," let D(x) be the statement "x has a dog," let H(a) be the statement "x has a horse," let E(x) be the statement "x eats eggs," and let A(x) be the statement "x has allergies to animals." Express each of these statements in terms of C(x), D(x), H(x), E(x), A(z), quantifiers, and logical connectives. Let the domain consist of all people. a) Any person with allergies to animals cannot own dogs, or cats but can eat eggs. b) Nobody owns all three animals, but everyone owns a dog. c) Each type of the three animals is owned by at least one person who eats eggs.

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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3. Let K(x) be the statement “x has a pet koala,” let G(x) be the statement “x has a gazelle," let U(x) be the statement "x has a unicorn," and let F(x) be the statement "x has a farm." Express each of these statements in terms of K(x), G(x), U(x), F(x), quantifiers, and logical connectives. Let the domain consist of all people. (a) Everyone owns a gazelle or a unicorn. (b) Any person who does not own a farm cannot own a koala, gazelle, or unicorn. (c) No one owns a gazelle, but everyone owns a koala. (d) Some people own both a unicorn and a farm, but not all people own both a koala and a gazelle. (e) Each type of animal (koala, gazelle, unicorn) is owned by at least one person.
Let S(x) = "x is a student in our class” and P(x) = "x lives in Wahiawa" a. Assume the u.d. for x is students in our class. Translate into symbols, "There is a student in our class who lives in Wahiawa. b. Assume the u.d. for x is all people. Translate into symbols, "There is a student in our class who lives in Wahiawa.
Q. There is an island that has two kinds of inhabitants, knights, who always tellthe truth, and their opposites, knaves, who always lie. It is assumed that every inhabitant of theisland is either a knight or a knave. Below there are 3 inhabitants, who are denoted by A, B andC.A. What are A, B and C if A says “If B is a knave then C is a knave”, and B says “If Cis a knight then A is a knave”? Briefly explain your reasoning.B. What are A,B and C if A says “B is a knight and C is a knight”, and B says “A is aknight if and only if C is a knave”? Briefly explain your reasoning.
Click and drag the appropriate word, symbol, or phrase into the most appropriate blank. Let P(x) be the statement "x can speak Russian" and let Q(x) be the statement "x knows the computer language C+t." Consider the statement, "Every student at your school either can speak Russian, or knows C+." This statement is k(n) beginning of the symbolic statement is statement, because of the word, "every." So, the appropriate quantifier to be applied at the .We want this symbol to act on x, representing a student at your school. The universal statement may be rewritten for clarity's sake as, "Every student at your school speaks Russian or every student at your school knows C++." The phrases, "student at your school speaks Russian" and "student at your school knows C++" are directly symbolized by respectively. Finally, the word "or" requires the statement to employ the . Hence, the completed quantified statement is Q(X) and P(x) P(x) and Q(x) universal VX(P(x)vQ(x)) 3X(P(X)AQ(x)) conditional…
6. Given, A = p A (p V q) and B = p v (p A q). State whether A = B or not. 7. Let P(x), Q(x), and R(x) be the statements. "x is a student," “x is smart," and "x is shy," respectively. Express each of these statements using quantifiers; logical connectives; and P(x), Q(x), and R(x), where the domain consists of all people. a. Some students are shy. b. All smart people are not shy.
Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements. i) Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class. ii) Someone in your class has an Internet connection but has not chatted with anyone else in your class. Express each of these system specification using predicates, quantifiers and logical operators if necessary. i) There are at least two paths connecting every two distinct end points of the network. ii) No one knows the password of every user except for the system administrator who knows all password.
Let S(x,y) be the statement "student x likes soft drink y" , where the domain for x consists of all students at your school and the domain for y consists of all soft drinks. Use quantifiers to express "Not every student likes tea and soda." 5.
1. Suppose that a bank only permits passwords that are strings from the alphabets = {a,b.c, d, 1, 2, 3, 4). The passwords follow the rules (a) The length can be 5 or more. (b) The first alphabet must be from {a,b,c,d}. (c) The last two alphabets must be from {1,2,3,4} Give a regular expression for this language.
Let P(X) = “x ate lunch at Jollibee” and S(x) = “x is a Leeward CC Student” 5. Assume the universe of discourse is all people. Translate into symbols, “All Leeward Community College students ate lunch at Jollibee.” 6. Using symbols, express the negation of number 5
Let S(x) = "x is a student at Leeward Community College"; F(x) = "x is a faculty member at Leeward Community College", and E(x,y) "x has eaten y at the Leeward Community College cafeteria" where the universe of discourse for x is all the people who are associated with Leeward Community College, and the universe for discourse for y is the menu items in the Leeward Community College cafeteria. a. Translate into English: ³x y (S(x) -> E(x, y)) b. Translate into symbols: Every Leeward CC faculty member has eaten at least one menu item at the Leeward Community College cafeteria.
Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…
Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…