2. Consider the following propositions: D is the proposition “You are a dog." C is the proposition “You are a cat." B is the proposition “You love bacon." F is the proposition “You love fish." Write the following propositions using the above: (a) If you are a dog then you love bacon. (b) If you love bacon then you are a dog. (c) If you do not love fish then you are not a cat.

2. Consider the following propositions: D is the proposition “You are a dog." C is the proposition “You are a cat." B is the proposition “You love bacon." F is the proposition “You love fish." Write the following propositions using the above: (a) If you are a dog then you love bacon. (b) If you love bacon then you are a dog. (c) If you do not love fish then you are not a cat.

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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Let N, H, S, D, R, J, and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor H: Mr. Smith lives halfway between Detroit and Chicago S: Mr. Smith lives in Chicago D: Mr. Robinson lives in Detroit R: Mr. Robinson lives in Chicago J: Mr. Jones lives in Chicago B: Jones is the brakeman Write the proposition below using N, H, S, D, R, J, B, and logical operators. Mr. Smith lives halfway between Detroit and Chicago if and only if Mr. Robinson and Mr. Jones lives in Chicago. OHV (RAJ) OH (RAJ) OH (RAJ) OH → (RVJ)
Consider the following propositions: F is the proposition "You are a fish." S is the proposition "You like to swim." W is the proposition "You drink water." H is the proposition "You are human." Write the following propositions symbolically using the above variables: (a) If you are human then you like to swim. (b) If you like to swim then you are a fish. 1 (c) If you do not like to swim then you do not drink water. (d) If you are a human then either you are a fish or you drink water. (e) You are a fish, you do not drink water, and you like to swim.
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.
For the following Boolean functions, give a tabular representation of their Boolean expressions: b) (i) F(x,y, 2) = [X ·y] z 3/7 - (ii) F(x, y, z) = [x ·z] ly z] (iii) What can you say about (i) and (ii) above?
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.
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Question 37 The correct statements are: If both L and ¬L are in D, then L must be also in SD. If both L and ¬L are in D, then ¬L must be also in SD. If both L and ¬L are in SD, then L must be also in D. If both L and ¬L are in SD, then ¬L must be also in D.
Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor H: Mr. Smith lives halfway between Detroit and Chicago S: Mr. Smith lives in Chicago D: Mr. Robinson lives in Detroit R: Mr. Robinson lives in Chicago J: Mr. Jones lives in Chicago B: Jones is the brakeman Write the proposition below using N, H, S, D, R, J, B, and logical operators. OJ B ORA~B OR B O~BVR If Mr. Jones lives in Chicago, then the brakeman is Jones.