Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 7, Problem 7E
a.
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- Sentence is false only if B and C are false...
b.
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- Sentence is false only if A, B, ...
c.
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- The last four conjuncts specify a mo...
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Convert the following set of sentences to clausal form:
S1: A (B V E)
S2: E =D
S3: CAF= -B
S4: E = B
S5: B = F
Convert the following predicate calculus to English sentence.
(∀X) (dog(X) → barks(X))
See the image.
a.Construct a context-free grammar generating C.Explain how your construction accounts for each rule.
b.We could eliminate one rule from Cand make it regular. Which rule would that be, and why would it work? You do not need a formal proof, but you do need an explanation.
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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- In the simplified English grammar of the given Figure, there are only finitely many legal sentences. How many are there? Why? (1) sentence → noun-phrase verb-phrase . (2) noun-phrase → article noun (3) article →→ a | the (4) noun → girl | dog (5) verb-phrase verb noun-phrase (6) verb → sees | petsarrow_forward3. Write a sentence that is true in an interpretation A if, and only if, the domain of A contains exactly two elements. 4. Write a sentence that is true in an interpretation A if, and only if, the domain of 2A contains exactly three elements.arrow_forwardFormalize the following sentence in english: Vx. (person(x ) A ay. (like(x,y) ^ food(y) A¬contain(cheese)))arrow_forward
- artificial intelegiencearrow_forward1. Do a(X,3,Y) and a(b,Y,X) match? Explain. Write a Prolog predicate insert/3 to express inserting an integer X into a nondecreasing list Y.arrow_forwardPROLOG! (CAN SOMEONE USE THE POWER OF PROLOG LABGUAGE TO SOLVE THESE 2 HW QUESTIONS)? I need someone to use prolog language to solve these 2 questionsarrow_forward
- 1. Explain the difference between first-order logic and propositional logic. 2. The language of first-order logic is based on objects and relations. An example of a first-order logic expression is "squares near the WAMPUS are smelly." What are the objects and relations in that expression? 3. What is an atomic sentence? Give an example. 4. What is the universal quantifier? Write the sentence "All kings are persons" using the universal quantifier and other logic symbols. Hint: To find the logic symbols in blackboard click on fx from the toolbar above and select the symbols tab. 5. What is the existential quantifier? Write the sentence "There is a prime number that is even" using the existential quantifier and other logic symbols.arrow_forwardPlease assist with the following questions with handwritten working out. Question is in the imagearrow_forwardConsider the ambiguous grammar S → ABS | ABA → aA | λB → bB | λ What is the shortest string in L(S) other than λ that can be used to show the grammar is ambiguous? Write the string without any spaces or quotation marks. Now show the grammar ambiguous by giving two derivations for the string (each derivation should have a particular important property). Give the two shortest derivations you can find, writing the shorter one in the first box. Your derivations should begin with S, end with your chosen string, and only make one substitution per step. Do not include any spaces, quotes, or lambdas in your answer. Use the ">" character to represent the right arrow. For example, S>aSb>ab might be a legal derivation for a string in another language.arrow_forward
- What can be claimed about the grammar G: {S→ alaRb, R→ b|bSa }? OA. G is a context-free grammar and L(G) is a context-free language. B. G is a context-free grammar but L(G) is actually a regular language. O C. G is a regular grammar and L(G) is a regular language. What can be said about the grammar G: {S → ORO|OR1|1RO|1R1, R → E|OR|1R }? OA. G is a context-free grammar and L(G) is a context-free language. B. G is a context-free grammar but L(G) is the regular language (0+1)²(0+1)* C. G is a regular grammar and L(G) is the regular language (0+1)(0+1)*arrow_forwardartificial intelegencearrow_forwardartifial intelegiencearrow_forward
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