You create a general AI (artificial intelligence) and want to teach him “friendship" as a relation on a set of people. You define some rules for this friendship relation. These are your four laws of robotic friendships: 1. "Everyone is friend of him or herself". 2. “Not everyone is friend with everyone". 3. "The enemy of my enemy is my friend" (here “enemy" just means “not friend"). 4. "The enemy of my friend is my enemy." a) Can the following directed graph represent the above "friendship" relation on a set of 2 people? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
You create a general AI (artificial intelligence) and want to teach him "friendship" as a relation
on a set of people. You define some rules for this friendship relation. These are your four laws of
robotic friendships:
1. "Everyone is friend of him or herself".
2. "Not everyone is friend with everyone".
3. "The enemy of my enemy is my friend" (here "enemy" just means "not friend").
4. "The enemy of my friend is my enemy."
a) Can the following directed graph represent the above "friendship" relation on a set of 2 people?
Justify your answer.
Alice
Bob
b) Is the defined "friendship" relation reflexive? Justify your answer (explain, in English).
c) Is the defined "friendship" relation symmetric? Justify your answer (explain, in English).
d) Is the defined "friendship" relation transitive? Justify your answer (explain, in English).
Transcribed Image Text:You create a general AI (artificial intelligence) and want to teach him "friendship" as a relation on a set of people. You define some rules for this friendship relation. These are your four laws of robotic friendships: 1. "Everyone is friend of him or herself". 2. "Not everyone is friend with everyone". 3. "The enemy of my enemy is my friend" (here "enemy" just means "not friend"). 4. "The enemy of my friend is my enemy." a) Can the following directed graph represent the above "friendship" relation on a set of 2 people? Justify your answer. Alice Bob b) Is the defined "friendship" relation reflexive? Justify your answer (explain, in English). c) Is the defined "friendship" relation symmetric? Justify your answer (explain, in English). d) Is the defined "friendship" relation transitive? Justify your answer (explain, in English).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Can the above solution be made more clear. What does this mean? "So, B is enemy of B's friend and hence B is enemy of B." Since B is friends with B, B has to be an enemy of B's friend. But B is already an enemy of B's friend, which is A.

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,