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Question 7. Recall the knight and knave example, where you met three knights or knaves Alex,Bob,Cav, who said the following. • Aler: Bob is a knight! • Bob: Alex and C are both knights or both knaves! In logic: • A+ B (call this a) • B+ (A <→ C) (call this B) (a) Transform a ^ ß into CNF (conjunctive normal form) (b) Use the resolution method to show that person C must be a knight; that is, a ^ B EC.

Question 7. Recall the knight and knave example, where you met three knights or knaves Alex,Bob,Cav, who said the following. • Aler: Bob is a knight! • Bob: Alex and C are both knights or both knaves! In logic: • A+ B (call this a) • B+ (A <→ C) (call this B) (a) Transform a ^ ß into CNF (conjunctive normal form) (b) Use the resolution method to show that person C must be a knight; that is, a ^ B EC.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 7. Recall the knight and knave example, where you met three knights or knaves Alexr, Bob, Cav, who said the following. • Alex: Bob is a knight! • Bob: Alex and C are both knights or both knaves! In logic: • A → B (call this a) • B+ (A → C) (call this B) (a) Transform a ^ ß into CNF (conjunctive normal form) (b) Use the resolution method to show that person C must be a knight; that is, a ^ ß EC.
Transcribed Image Text:Question 7. Recall the knight and knave example, where you met three knights or knaves Alexr, Bob, Cav, who said the following. • Alex: Bob is a knight! • Bob: Alex and C are both knights or both knaves! In logic: • A → B (call this a) • B+ (A → C) (call this B) (a) Transform a ^ ß into CNF (conjunctive normal form) (b) Use the resolution method to show that person C must be a knight; that is, a ^ ß EC.
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