Expressed asi3 x ( D & ) ^ BYL PLY) => G (X, Y ) ) )(c) ".Any twobananas taste similar to each other")• Predicates: B(x):"xis a banana""ТСУДУ):x and y taste similar• Domain: all bananas• Expressed asVX Vy (( B ( x ) ^ B (Y)) -> T (X,Y)) The following two compound propositions are logically equivalent:A→BC and AB → CLook at your answer to the banana problem (#5c). Your answer should be of the form of one of twoabove compound propositions (if it isn't, it isn't correct so you should rewrite it). Then, express the sen-tence "Any two bananas taste similar to each other" using the other compound proposition. Your answerCS 151: Mathematical Foundations of Computing -Fall 20244Katok & ReckingerHomework #1Due: September 15, 2024should be a second version of expressing the sentence "Any two bananas taste similar to each other" in termsof predicates, quantifiers, and logical operators given in #5c.

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Answered: Expressed asi 3 x ( D & ) ^ BYL PLY) =>…

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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Similar questions

Translate the English sentence to propositional logic. a) Every student majoring in Cumputer science need to visit the science museum b) Use the De Morgan’s law to find the negation of “Some students has visited the science museum.”
Consider "knights and knaves" puzzles. These logic puzzles take place on an island with two types of people: the knights, who always tell the truth, and the knaves, who always lie. Now, write the solutions for the following questions: (a) On the island of knights and knaves, you are approached by one person. The person says to you, " I am a Knave or today is the rainy day on the island. (Which type is the speaker, and is there is a rainy day on the island?)." What are they actually? Someone asks person A on the island, “Are you a knight?” He replies, “If I am a knight then my sister is also knight.” Using logic & truth table prove that A is telling truth.
Below are some predicates and their corresponding statements: p(x): x is a student in your class q(x): x has taken a course in logic programming Here, the domain for quantifiers consists of all people. Choose the correct proposition for the sentence: All student in your class has not taken a course in logic programming. a. ∀x¬(P(x) → Q(x)) b. ∀x(P(x) → ¬Q(x) c. ¬∀x (P(x) → Q(x)) d. ¬∃x(P(x) ∧ Q(x))
Conway's Game of Life: This is a zero person game with the following rules: (see Wikipedia for example) Any live cell with fewer than two live neighbours dies, as if by underpopulation. Any live cell with two or three live neighbours lives on to the next generation. Any live cell with more than three live neighbours dies, as if by overpopulation. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction. Remember the oscillator or blinker of 3 cells. You can also find this blinker on Wikipedia. 1 21 1 2 1 21 3. 4 6 4. 6. 4 8. 9 8 9 #1 #2. #3 5. Consider now these 3 creatures at stage 1: Show how they look like in the next two stages: stage 2 and stage 3. Explain how you get the answers Creature 1 Creature 2 Creature 3 (here creature 1 is the blinker of 3 cells, horizontally; creature 2 consists of two adjacent cells, creature 3 consists of 4 adjacent cells horiztonally) ww (d) Creature 1 (10%), (e) Creature 2 (8%), (f) Creature 3 (20%)
Consider the following true propositions:• p : The applicant has passed the learner permit test.• q : The applicant has passed the road test.• r : The applicant is allowed a driver’s license.For each of the following sentences write,symbolically, the compound proposition that correspondstothe given sentence in English asit is written (do not change the order or form of the expression).a) The applicant did not pass the road test but passed the learner permit test.b) If the applicant passes the learner permit test and the road test, then the applicant is allowed adriver’s license.c) Passing the learner permit test and the road test are necessary for being allowed a driver’slicense.d) The applicant passed either the learner permit test or the road test, but not both.e) It is not true that the applicant does not pass the road test and is allowed a driver’s license.
13. p(x): x is intelligent q(x): x reads book r(x): x is a student in your class Find the correct English translation for the following logical expression: ∀x(r(x)→(p(x) Λ q(x)) a. None b. There is an intelligent student in your class who reads book c. Every student in your class is intelligent and reads book d. All student in your class is intelligent and doesn't read book
Convert each of the following argu- ments into formal statements, e.g., define sentences existentially and/or universally quantified statements. Then determine which rules of logic have been applied and explain whether or not they have been ap- plied correctly. If you don’t do the homework, you won’t pass the final. Curly did not do the homework. Therefore Curly did not pass the final. If you do the homework you will pass the final. If you pass the fi- nal you will pass the course. Larry did the homework. Therefore Larry will pass the course. Curly, Moe and Larry are stooges. Curly did his homework. Therefore a stooge did his homework.
Answer in C language
Write the following English statements using the following predicates and any needed quantifier. The domain of all variables are all people in a university S(x): x is a student F(x): is a faculty member A(x, y): x has asked y a question Some students have not asked any faculty member a question There are at least two students who have asked every faculty member a question There is a faculty member who has asked every other faculty member a question
Let p, q, and r represent the following statements: p: The first ball is red. q: The second ball is white. r: The third ball is blue. Which would be the correct English statement for the symbolic form (¬¬p ∧∧ q) →→ r ? Group of answer choices A .If the first ball is red or the second ball is white, then the third ball is blue. B. If the first ball is not red or the second ball is white, then the third ball is blue. C .If the first ball is not red and the second ball is white, then the third ball is blue. D. If the first ball is red and the second ball is white, then the third ball is blue.
Write the following English statements using the following predicates and any needed quantifier. The domain of all variables are all people associated in a university S(x): x is a student F(x): is a faculty member A(x, y): x has asked y a question There are at least two students who have asked every faculty member a question There is a faculty member who has asked every other faculty member a question
Write the following English statements using the following predicates and any needed quantifier. The domain of all variables are all at the school S(x): x is a student F(x): is a faculty member A(x, y): x has asked y a question Every student has asked Dr. Lee a question

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