Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Textbook Question
Chapter 7, Problem 4E
Which of the following are correct?
- a. False |= True.
- b. True |= False.
- c. (A ∧ B) |= (A ⇔ B).
- d. A ⇔ B |= A ∨ B.
- e. A ⇔ B |= ￢A ∨ B.
- f. (A ∧ B) ⇒ C |= (A ⇒ C) ∨ (B ⇒ C).
- g. (C ∨ (￢A ∧ ￢B)) ≡ ((A ⇒ C) ∧ (B ⇒ C)).
- h. (A ∨ B) ∧ (￢C ∨￢D ∨ E) |= (A ∨ B).
- i. (A ∨ B) ∧ (￢C ∨￢D ∨ E) |= (A ∨ B) ∧ (￢D ∨ E).
- j. (A ∨ B) ∧ ￢ (A ⇒ B) is satisfiable.
- k. (A ⇔ B) ∧ (￢A ∨ B) is satisfiable.
- l. (A ⇔ B) ⇔ C has the same number of models as (A ⇔ B) for any fixed set of proposition symbols that includes A, B, C.
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Chapter 7 Solutions
Artificial Intelligence: A Modern Approach
Ch. 7 - Suppose the agent has progressed to the point...Ch. 7 - (Adapted from Barwise and Etchemendy (1993).)...Ch. 7 - Prob. 3ECh. 7 - Which of the following are correct? a. False |=...Ch. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 7ECh. 7 - We have defined four binary logical connectives....Ch. 7 - Prob. 9ECh. 7 - Prob. 10E
Ch. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - A sentence is in disjunctive normal form (DNF) if...Ch. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27E
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