Knight-Knave problems A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. Can you determine who is a knight and who is a knave? a. You meet two inhabitants: Zoey and Mel. Zoey tells you that Mel is a knave. Mel says, `Neither Zoey nor I are knaves.' b. You meet two inhabitants: Bob and Ted. Bob says, 'I am a knight or Ted is a knave.' Ted says that only a knave would say that Bob is a knave. Hint: make a propositional variable for each person to indicate if they are a knight and then express their statements as propositions, then write down a truth table and see if you can find a consistent truth assignment.
Knight-Knave problems A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. Can you determine who is a knight and who is a knave? a. You meet two inhabitants: Zoey and Mel. Zoey tells you that Mel is a knave. Mel says, `Neither Zoey nor I are knaves.' b. You meet two inhabitants: Bob and Ted. Bob says, 'I am a knight or Ted is a knave.' Ted says that only a knave would say that Bob is a knave. Hint: make a propositional variable for each person to indicate if they are a knight and then express their statements as propositions, then write down a truth table and see if you can find a consistent truth assignment.
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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Transcribed Image Text:Knight-Knave problems
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and
knaves always lie. Can you determine who is a knight and who is a knave?
a. You meet two inhabitants: Zoey and Mel. Zoey tells you that Mel is a knave. Mel says,
Zoey nor I are knaves.'
`Neither
b. You meet two inhabitants: Bob and Ted. Bob says, `I am a knight or Ted is a knave.' Ted says
that only a knave would say that Bob is a knave.
Hint: make a propositional variable for each person to indicate if they are a knight and then
express their statements as propositions, then write down a truth table and see if you can find a
consistent truth assignment.
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