Computer Science: An Overview (13th Edition) (What's New in Computer Science)
13th Edition
ISBN: 9780134875460
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 19CRP
Give an example in which the closed-world assumption leads to a contradiction.
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Provide proofs for the following statements
a.The full resolution inference rule (on Slide 37) holds for any k, n≥1. During the lecture, we show the proof for the simple resolution inference rule. You can use a similar approach.
b.Horn clauses are closed under resolution: if you resolve two Horn clauses with complementary literals in the two clauses, you get back a Horn clause.
For a given mathematical model, which gives merely a representation of the real situation, there exists an optimum solution. O Yes/No/True/False
Choose a real-world scenario with three Venn diagrams. Explain why a Venn diagram works here. Discuss the intersection and union of sets.
Chapter 11 Solutions
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
Ch. 11.1 - Prob. 1QECh. 11.1 - Prob. 2QECh. 11.1 - Prob. 3QECh. 11.1 - Prob. 4QECh. 11.1 - Prob. 5QECh. 11.2 - Prob. 1QECh. 11.2 - Prob. 2QECh. 11.2 - Prob. 3QECh. 11.2 - Prob. 4QECh. 11.2 - Identify the ambiguities involved in translating...
Ch. 11.2 - Prob. 6QECh. 11.2 - Prob. 7QECh. 11.3 - Prob. 1QECh. 11.3 - Prob. 2QECh. 11.3 - Prob. 3QECh. 11.3 - Prob. 4QECh. 11.3 - Prob. 5QECh. 11.3 - Prob. 6QECh. 11.3 - Prob. 7QECh. 11.3 - Prob. 8QECh. 11.3 - Prob. 9QECh. 11.4 - Prob. 1QECh. 11.4 - Prob. 2QECh. 11.4 - Prob. 3QECh. 11.4 - Prob. 4QECh. 11.4 - Prob. 5QECh. 11.5 - Prob. 1QECh. 11.5 - Prob. 2QECh. 11.5 - Prob. 3QECh. 11.6 - Prob. 1QECh. 11.6 - Prob. 2QECh. 11.6 - Prob. 3QECh. 11.7 - Prob. 1QECh. 11.7 - Prob. 2QECh. 11.7 - Prob. 3QECh. 11 - Prob. 1CRPCh. 11 - Prob. 2CRPCh. 11 - Identify each of the following responses as being...Ch. 11 - Prob. 4CRPCh. 11 - Prob. 5CRPCh. 11 - Prob. 6CRPCh. 11 - Which of the following activities do you expect to...Ch. 11 - Prob. 8CRPCh. 11 - Prob. 9CRPCh. 11 - Prob. 10CRPCh. 11 - Prob. 11CRPCh. 11 - Prob. 12CRPCh. 11 - Prob. 13CRPCh. 11 - Prob. 14CRPCh. 11 - Prob. 15CRPCh. 11 - Prob. 16CRPCh. 11 - Prob. 17CRPCh. 11 - Prob. 18CRPCh. 11 - Give an example in which the closed-world...Ch. 11 - Prob. 20CRPCh. 11 - Prob. 21CRPCh. 11 - Prob. 22CRPCh. 11 - Prob. 23CRPCh. 11 - Prob. 24CRPCh. 11 - Prob. 25CRPCh. 11 - Prob. 26CRPCh. 11 - Prob. 27CRPCh. 11 - Prob. 28CRPCh. 11 - Prob. 29CRPCh. 11 - Prob. 30CRPCh. 11 - Prob. 31CRPCh. 11 - Prob. 32CRPCh. 11 - Prob. 33CRPCh. 11 - What heuristic do you use when searching for a...Ch. 11 - Prob. 35CRPCh. 11 - Prob. 36CRPCh. 11 - Prob. 37CRPCh. 11 - Prob. 38CRPCh. 11 - Suppose your job is to supervise the loading of...Ch. 11 - Prob. 40CRPCh. 11 - Prob. 41CRPCh. 11 - Prob. 42CRPCh. 11 - Prob. 43CRPCh. 11 - Prob. 44CRPCh. 11 - Prob. 45CRPCh. 11 - Draw a diagram similar to Figure 11.5 representing...Ch. 11 - Prob. 47CRPCh. 11 - Prob. 48CRPCh. 11 - Prob. 49CRPCh. 11 - Prob. 50CRPCh. 11 - Prob. 51CRPCh. 11 - Prob. 52CRPCh. 11 - Prob. 53CRPCh. 11 - Prob. 54CRPCh. 11 - Prob. 1SICh. 11 - Prob. 2SICh. 11 - Prob. 3SICh. 11 - Prob. 4SICh. 11 - Prob. 5SICh. 11 - Prob. 6SICh. 11 - Prob. 7SICh. 11 - Prob. 8SICh. 11 - Prob. 9SICh. 11 - Prob. 10SICh. 11 - Prob. 11SICh. 11 - Prob. 12SICh. 11 - A GPS in an automobile provides a friendly voice...Ch. 11 - Prob. 14SI
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- Show that the following two formulas are NOT logically equivalent by giving a model in which one is true and the other is false: ∃x ( R(x) → S(x) ) and ¬ ∀x ( R(x) ∧ S(x) )arrow_forwardThe PDDL is put to use in order to provide a description of a made-up setting known as the JUNGLE. This universe has a total of five constants and three predicates, each of which may take a maximum of four arguments. There should be a limit placed on the total number of states on this JUNGLE planet. Do we need to offer justification for this?arrow_forwardChoose a real-world situation with at least three sets of Venn diagrams. Explain why a Venn diagram is suitable in this circumstance. Discuss the significance of the intersection and union of the distinct sets.arrow_forward
- Choose the order of logical equivalences that are listed below to show that the following equivalences. (p and q) or ((q and r) and (q or r) = q and (p or r) I. Identity laws II. Domination laws II. Idempotent laws IV. Double negation law V. Commutative laws VI. Associative laws VII. Distributive laws VIII. De Morgan's laws IX. Absorption laws X. Negation laws VII, II, II, V, VII a. IV, VI, I, IX Ob. IV, VI, VI, I, 1 X, I, I, II, X d. V, I, I, II, VII, I e. II, I, VII, III, I, VII, ,1 Of. IV, VI, VI, II Og. O h. . II, II, IV, I, II 1, X, I, X, V, II Oi. V, I, I, II, II Oj. O k. I, I, V, VI II, I, VII O1. VII, III, I, II, VII O m. V, VI, I, I, II n. VII, IX, I, I, VI, VII O.arrow_forwardAt least three Venn diagrams are required in the real-world situation. In this case, a Venn diagram is the best tool for the job. Discuss the significance of the intersection and union of the distinct sets.arrow_forward4. You are given the following sentences in propositional logic. Convert them to CNF and prove that "C A - D" is entailed by the sentences using resolution with refutation. Show the steps in the resolution proof. 1. - A = (B v C) 2. A = B 3. - (- В %3D D) → D)arrow_forward
- Choose a real-life situation with at least three sets of Venn diagrams. Explain why a Venn diagram is suitable in this case. Discuss the significance of the intersection and union of the distinct sets.arrow_forwardPlease answer the following question in depth with full detail. Consider the 8-puzzle that we discussed in class. Suppose we define a new heuristic function h3 which is the average of h1 and h2, and another heuristic function h4 which is the sum of h1 and h2. That is, for every state s ∈ S: h3(s) =h1(s) + h2(s) 2 h4(s) =h1(s) + h2(s) where h1 and h2 are defined as “the number of misplaced tiles”, and “the sum of the distances of the tiles from their goal positions”, respectively. Are h3 and h4 admissible? If admissible, compare their dominance with respect to h1 and h2, if not, provide a counterexample, i.e. a puzzle configuration where dominance does not hold.arrow_forwardWrite true if (p → r) ∧ (q → r) and (p ∨ q) → r are logically equivalent, otherwise false.arrow_forward
- Prove the following using a direct proof. Your proof should be expressed in com- plete English sentences. If a, b, and c are integers such that b is a multiple of a³ and e is a multiple of b², then c is a multiple of a.arrow_forwardChoose a real-world situation with several overlapping Venn diagrams. Justify the use of a Venn diagram and explain why it makes sense here. Talk about why it matters that the sets intersect and/or union.arrow_forwardProve the following logical implication (A ⇒ B) ⇒ ((C ⇒ A) ⇒ (C ⇒ B)) without a truthtable.arrow_forward
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