Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Expert Solution & Answer
Chapter 7, Problem 18E
a.
Explanation of Solution
Truth table
- A simple truth table has eight rows...
b.
Explanation of Solution
Results
- For the left-hand side:
(Food ⇒ Party) ∨ (Drinks ⇒ Party)
(¬Food ∨ Party) ∨ (¬Drinks ∨ Party)
(¬Food ∨ Party ∨ ¬Drinks ∨ Party)
(¬Food ∨ ¬Drinks ∨ Party)
- For the right-ha...
c.
Explanation of Solution
Resolution
- For proving a sentence is valid, then the negation is unsatisfiable...
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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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- can you please given the neat explaination the answer which is already there is not cleararrow_forwardRepresent the sentence in first-order logic, using a consistent vocabulary (which you must define): There is an agent who sells policies only to people who are not insured.arrow_forwardTranslate the given sentence into a logical expression involving quantifiers, predicates, and logical connectives. Specify a simple domain (ex. "People") and the English statement that each predicate represents. 1. Everyone who lives in the United States has a relative who lives in another country.arrow_forward
- give answer of all subparts in clear handwitten- For the model P + L ⇋ PL, what does each variable represent? Explain. The following questions refer to the variable θ.a. What is the definition of θ in words?b. What is the maximum value of θ? Explain your answer.arrow_forwardConsider the wffs:φ1 ≡ p1 → (p2 → (p3 → p4))φ2 ≡ (p1 ∧ p2 ∧ p3) → p4(a) Technically speaking, neither φ1 nor φ2 is well-formed since neither is allowed by the formal syntaxof propositional logic. Correct them. Note, however, that we will freely make such trivial ’errors’ throughout this semester (as do most such courses).(b) Use truth tables (in the form defined in this course) to show that φ1 ↔ φ2.(c) After internalizing an intuitive understanding of this equality, propose an extension of it to n atoms.(d) State the number of rows in a truth table for proving the extensionarrow_forwardConsider the wffs:φ1 ≡ p1 → (p2 → (p3 → p4))φ2 ≡ (p1 ∧ p2 ∧ p3) → p4(a) Technically speaking, neither φ1 nor φ2 is well-formed since neither is allowed by the formal syntaxof propositional logic. Correct them. Note, however, that we will freely make such trivial ’errors’throughout this semester (as do most such courses).(b) Use truth tables (in the form defined in this course) to show that φ1 ↔ φ2.(c) After internalizing an intuitive understanding of this equality, propose an extension of it to natoms.(d) State the number of rows in a truth table for proving the extension.arrow_forward
- Do you see yourself using email in the not-too-distant future? The path of an email message starts with the sender and concludes with the receiver of the message. Take careful notes on everything you discover. Is there a rationale to the differences, and if so, what are they? Consider the possibility that there exist several models, each of which has a unique level of complexity (or abstraction).arrow_forwardFrom the truth table for A ∨ B, the value of A ∨ B is true if A is true, if B is true, or if both are true. This use of the word “or,” where the result is true if both components are true, is called the inclusive or. It is the inclusive or that is understood in the sentence, “We may have rain or drizzle tomorrow,” which might also be expressed as, “We may have rain or drizzle or both tomorrow.” Another use of the word “or” in the English language is the exclusive or, sometimes written XOR, in which the result is false when both components are true. The exclusive or is understood in the sentence, “At the intersection, you should turn north or south,” (but obviously not both). Exclusive or is symbolized by A ⊕ B. Write the truth table for the exclusive or.arrow_forwardDetermine whether or not the following statement is a tautology or not and give reasoning. If you need to, you can build a truth table to answer this question. (q→p)∨(∼q→∼p) A. This is a tautology because it is always true for all truth values of p and q. B. This is not a tautology because it is always false for all truth values of p and q. C. This is a tautology because it is not always false for all values of p and q. D. This is not a tautology becasue it is not always true for all truth values of p and q.arrow_forward
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