Homework Answers
Option C
Class NP is where the problems are verifiable in polynomial time. Whether it's correct or not.
NP-Complete has problems in both NP and NP-Hard. So it's reducable to NP when there's a problem verified in polynomial time in NP-Complete.
Option C opposes this.
Option A leads to NP-Hard which is valid.
Option B, D are valid as well.
comment for any doubts!
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25. (1 point) Suppose A is some language in the class NP and B is NP-complete....
Define each of the following for a language L. a) L is in the class P....
Define each of the following for a language L. a) L is in the class P. b) L is in the class NP. c) L is reducible to another language L' in polynomial time d) L is NP-complete
5. (1 point) Which of the following statements is true? A. Recognizable languages are a subset...
5. (1 point) Which of the following statements is true? A. Recognizable languages are a subset of the decidable languages. B. Some decidable languages may not be recognizable. C. A decider for a language must accept every input. D. A recognizer for a language doesn't halt. E. A decider halts on every input by either going to an accept state or a reject state. 6. (1 point) Which of the following could be false for the language L = {abclixj...
true or False with prove? (f) ___ NP =co-NP (g) The complement of any recursive language...
true or False with prove?
(f) ___ NP =co-NP (g) The complement of any recursive language is recursive. h) The grader's problem is decidable. We say programs Pi and P are equivalent if they give the same output if given the same input. The problem is to decide whether two programs (in C++, Pascal, Java, or some other modern programming language) are equivalent. )Given any CF language L, there is always an unambiguous CF grammar which generates L 6)Given any...
9. (1 point) Alice claims that a language is decidable if there exists some non-deterministic TM...
9. (1 point) Alice claims that a language is decidable if there exists some non-deterministic TM that decides it. Bob claims that a language is decidable if there exists some deterministic TM that decides it. Whose claim is correct? A. Both Alice's and Bob's. B. Only Alice's. C. Only Bob's. D. Neither Alice's nor Bob's. 10. (1 point) Which of the following is true? A. If an enumerator enumerates a language L, then L is decidable. B. If a language...
3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The...
3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The 2-SAT problem is a SAT variant in which each clause contains at most two literals. 2-SAT is known to have a polynomial-time algorithm. Is each of the following statements true or false? Justify your answer. a. 3-SAT sp TSP. b. If P NP, then 3-SAT Sp 2-SAT. C. If P NP, then no NP-complete problem can be solved in polynomial time.
Please also note that there might be multiple answers for each question. Q1: Which of the following claims are true?*...
Please also note that there might be multiple answers for each
question.
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable languages are closed under union and intersection The class of undecidable languages contains the class of recognizable languages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all...
19. (1 point) Suppose that L is undecidable and L is recognizable. Which of the following...
19. (1 point) Suppose that L is undecidable and L is recognizable. Which of the following could be false? A. I is co-Turing recognizable. B. I is not recognizable. C. I is undecidable. D. L* is not recognizable. E. None of the above. 20. (2 points) Let ETM {(M)|L(M) = 0} and EQTM = {(M1, M2)|L(Mi) = L(M2)}. We want to show that EQTM is undecidable by reducing Etm to EQTM and we do this by assuming R is a...
The time required for Dr. B's students to complete the Statistics Exam is approximately normally distributed...
The time required for Dr. B's students to complete the Statistics Exam is approximately normally distributed with a mean of 40.4 minutes and a standard deviation of 2.2 minutes. Let X be the random variable "the time required for Dr. B's students to complete the Statistics Exam." 6. With the above setting what time marks the 90th percentile? A. 37.562 minutes B. 37.584 minutes C. 43.238 minutes D. 43.216 minutes E. None of the above 7. Which of the following...
Suppose you're in a class of 25 students. The instructor takes a simple random sample of...
Suppose you're in a class of 25 students. The instructor takes a simple random sample of 7 students and measures their heights. Imagine all of the different samples possible. Let X denote the shortest height in your sample. The distribution of all values taken by X in all possible samples of 7 students selected from the 25 students in your class is A the probability that X is obtained. the standard deviation of values. the sampling distribution of X. the...
Question 1 The following statements illustrate which concept below? var1 = 1 while var1 != 0: var1 = var1+ 1 A. A P complex problem. B. A deterministic problem. C. An NP problem. D. The halting probl...
Question 1 The following statements illustrate which concept below? var1 = 1 while var1 != 0: var1 = var1+ 1 A. A P complex problem. B. A deterministic problem. C. An NP problem. D. The halting problem. Question 2 If a function is computable, A. both a Turing machine and a Bare Bones Language program can solve it . B. a Turing machine can solve it, but a Bare Bones Language program cannot . C. a Turing machine cannot solve...
5. (1 point) Which of the following statements is true? A. Recognizable languages are a subset of the decidable languages. B. Some decidable languages may not be recognizable. C. A decider for a language must accept every input. D. A recognizer for a language doesn't halt. E. A decider halts on every input by either going to an accept state or a reject state. 6. (1 point) Which of the following could be false for the language L = {abclixj...
true or False with prove?
(f) ___ NP =co-NP (g) The complement of any recursive language is recursive. h) The grader's problem is decidable. We say programs Pi and P are equivalent if they give the same output if given the same input. The problem is to decide whether two programs (in C++, Pascal, Java, or some other modern programming language) are equivalent. )Given any CF language L, there is always an unambiguous CF grammar which generates L 6)Given any...
9. (1 point) Alice claims that a language is decidable if there exists some non-deterministic TM that decides it. Bob claims that a language is decidable if there exists some deterministic TM that decides it. Whose claim is correct? A. Both Alice's and Bob's. B. Only Alice's. C. Only Bob's. D. Neither Alice's nor Bob's. 10. (1 point) Which of the following is true? A. If an enumerator enumerates a language L, then L is decidable. B. If a language...
3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The 2-SAT problem is a SAT variant in which each clause contains at most two literals. 2-SAT is known to have a polynomial-time algorithm. Is each of the following statements true or false? Justify your answer. a. 3-SAT sp TSP. b. If P NP, then 3-SAT Sp 2-SAT. C. If P NP, then no NP-complete problem can be solved in polynomial time.
Please also note that there might be multiple answers for each
question.
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable languages are closed under union and intersection The class of undecidable languages contains the class of recognizable languages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all...
19. (1 point) Suppose that L is undecidable and L is recognizable. Which of the following could be false? A. I is co-Turing recognizable. B. I is not recognizable. C. I is undecidable. D. L* is not recognizable. E. None of the above. 20. (2 points) Let ETM {(M)|L(M) = 0} and EQTM = {(M1, M2)|L(Mi) = L(M2)}. We want to show that EQTM is undecidable by reducing Etm to EQTM and we do this by assuming R is a...
The time required for Dr. B's students to complete the Statistics Exam is approximately normally distributed with a mean of 40.4 minutes and a standard deviation of 2.2 minutes. Let X be the random variable "the time required for Dr. B's students to complete the Statistics Exam." 6. With the above setting what time marks the 90th percentile? A. 37.562 minutes B. 37.584 minutes C. 43.238 minutes D. 43.216 minutes E. None of the above 7. Which of the following...
Suppose you're in a class of 25 students. The instructor takes a simple random sample of 7 students and measures their heights. Imagine all of the different samples possible. Let X denote the shortest height in your sample. The distribution of all values taken by X in all possible samples of 7 students selected from the 25 students in your class is A the probability that X is obtained. the standard deviation of values. the sampling distribution of X. the...
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