All decision problems (i.e.language membership problems), which are verifiable in polynomial time by a deterministic Turing machine are called NP problems. Further, these problems can be solved by a non-deterministic Turing machine in a polynomial time and in exponential time by a deterministic Turing machine.
Do we have a decision problem that is not verifiable by a deterministic Turing machine in polynomial time but decidable?
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All decision problems (i.e.language membership problems), which are verifiable in polynomial time by a deterministic Turing...
EXP is the class of languages decidable in exponential time (i.e. in 2" steps for some k) Much like the relationship between P and time can be decided in exponential time (i.e., NP EXP), but it is an open question if all problems decidable in exponential time are verifiable in polynomial time (i.e., EXP NP), though this is not expected to be true. Formally, the EXP class can be defined similarly to how we define P: NP, all languages that...
Why P = NP is considered an open problem? P- Polynomial time solving NP- Non deterministic Polynomial time solving
ANAL UP ALUUm FINAL PART1 ouesnoN13 which ot the following is QUESTION14. Which of the following is not in P? E. Max Cut D. Minimum Spanning Tree C. Min Cut B. 2-SAT Linear Programming QUESTION15. How many NP problems did Karp include in his tree hierarchy? E. 31 D. 22 A. 1 QUESTION16. Which of the following is not one of Karp's original NP problems? C. Feedback Arc Set D. Feedback N Set E. Partition B. Node Cover Arc Cover...
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...
1) What is your INFORMED opinion on the NP problems? Does a deterministic polynomial time algorithm exist or not? Your answer should be a well-thought out and informed argument consisting of several paragraphs at least. No credit for poor grammar and simplistic answers. Your argument should be convincing and strong. EXPLAIN IN DETAIL
5. Chapter 22. Give the BFS(G.s) algorithm 6. Computing Complexities Chapter. What is the Hamiltonian Cycle Problem? Hamiltonian cycle problem 7. Computing Complexities Chapter. Define an NP-Complete problem. Do not give an example. Rather tell what it is. Be formal about the definition NP-Complete problems are in NP, the set of all decision probleus whose solutions can be verified in polynomial time 8. Computing Complexities Chapter. What is PSPACE? Set of all decision problems that can be by a turing...
algorithm TRUE OR FALSE TRUE OR FALSE Optimal substructure applies to alloptimization problems. TRUE OR FALSE For the same problem, there might be different greedy algorithms each optimizes a different measure on its way to a solutions. TRUE OR FALSE Computing the nth Fibonacci number using dynamic programming with bottom-upiterations takes O(n) while it takes O(n2) to compute it using the top-down approach. TRUE OR FALSE Every computational problem on input size n can be...
Consider the following decision problems. Indicate which of these problems are undecidable and which are decidable. For decidable problems, sketch an algorithm to decide/solve the problem; for undecidable problems, justify why they are undecidable. To decide whether a PDA accepts the empty string. To decide whether the languages accepted by two context-free grammars have strings in common.
Question 4 (4 marks). a. Consider the decision problems PROBLEMA and PROBLEMB. PROBLEMA is known to be NP- Complete Your friend has found a polynomial time reduction from PROBLEMB to PROBLEMA. Another friend of yours has found an algorithm to solve any instance of PROBLEMB in polynomial time Have your friends proved that P=NP? Explain your answer. [2 marks b. Consider the following algorithm, which computes the value of the nth triangle number. function TRIANGLENUMBER(n) result 0 for i in...
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.