English to Logic (Lawn) Express each sentence using logical operations :, ^, _ and the propositional variables r; s; and l dened below. The use of the word "or" in the sentences below always means inclusive or.

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
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Arithmetic and Logical Operators: Evaluate each of the following statements as True or False. Show intermediate steps for full credit. Try by simplifying only one operator at a time if the whole expression is dicult to understand. (SEE PHOTO)

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English to Logic (Lawn) Express each sentence using logical operations :, ^, _ and the propositional variables r; s; and l dened below. The use of the word "or" in the sentences below always means inclusive or.

r it is raining
l the lawn is wet
s the sprinkler is on

i) It is raining and the lawn is wet

ii) It is not raining but the lawn is wet

iii) The lawn is not wet and it is not raining

iv) There is no way that it is raining

v) It is raining or the sprinklers are on

vi) Despite the fact that it is raining, the sprinklers are on

 

Consider the eclectic animal collection at the local zoo. Express each sentence using logical operations and the propositional variables h;w; and d dened below. The use of the word "or" in the sentences below always means inclusive or.

h They have hampsters

w They have whales

d They have dinosaurs

These are more challenging than the previous examples, you may find it helpful to go case by case through a truth table to ensure your expression is consistent with the sentence.

i The zoo doesn't have any hampsters or whales, but it does have dinosaurs.

ii The zoo has at least two of the three groups of animals.

iii The zoo has exactly1 two of the three groups of animals.

iv The zoo has, at most, one of these groups of animals.

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See second photo to complete this question and fill out the table please

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