4 5 6 7 . 8 step statements reason 1 1 ~k premise 2 e → k premise 3 l^o premise evf premise If this house is next to a lake, then the treasure is not in the kitchen. The tree in the front yard is an elm only if the treasure is in the kitchen. This house is next to a lake and the tree in the back yard is an oak. The tree in the front yard is an elm or the treasure is buried under the flagpole. Let the following symbols represent the corresponding statements: 1- The house is next to a lake. k-The treasure in in the kitchen. e-The tree in the front yard is an elm. o-The tree in the back yard is an oak. f-The treasure is buried under the flagpole. Thus, in symbolic form, we have the premises 14~k e k Ino evf We want to show that the conclusion f is correct. A proof of validity: f ~k ✪ t 3, 1,5 modus ponens 4,7 ✪ modus tollens ✪

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
In the back of an old cupboard I discovered a note signed by a pirate saying that he had hidden treasure somewhere on the property. After reading the ff clues, I deduced that the treasure is hidden under the flagpole. Show that I got the location right.
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step
1
8
If this house is next to a lake, then the treasure is not in the kitchen.
The tree in the front yard is an elm only if the treasure is in the kitchen.
• This house is next to a lake and the tree in the back yard is an oak.
The tree in the front yard is an elm or the treasure is buried under the flagpole.
.
·
Let the following symbols represent the corresponding statements:
1- The house is next to a lake.
e-The tree in the front yard is an elm.
o-The tree in the back yard is an oak.
f-The treasure is buried under the flagpole.
Thus, in symbolic form, we have the premises
1 ~k
e k
Ino
evf
We want to show that the conclusion f is correct.
A proof of validity:
k - The treasure in in the kitchen.
f
statements reason
1 ~k
e → k
Ι^ο
evf
k
수
premise
premise
premise
premise
3,
1,5 modus ponens
4,7
+
modus tollens
✪
Transcribed Image Text:2 3 4 5 6 7 step 1 8 If this house is next to a lake, then the treasure is not in the kitchen. The tree in the front yard is an elm only if the treasure is in the kitchen. • This house is next to a lake and the tree in the back yard is an oak. The tree in the front yard is an elm or the treasure is buried under the flagpole. . · Let the following symbols represent the corresponding statements: 1- The house is next to a lake. e-The tree in the front yard is an elm. o-The tree in the back yard is an oak. f-The treasure is buried under the flagpole. Thus, in symbolic form, we have the premises 1 ~k e k Ino evf We want to show that the conclusion f is correct. A proof of validity: k - The treasure in in the kitchen. f statements reason 1 ~k e → k Ι^ο evf k 수 premise premise premise premise 3, 1,5 modus ponens 4,7 + modus tollens ✪
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