Complexity theory final exam

  • What is the theory of computation complexity theory?

    Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
    It is concerned with algorithms, which are computational methods for solving problems..

  • In general, complexity theory provides new viewpoints on various phenomena that were considered also by past thinkers.
    Examples include the aforementioned concepts of proofs and representation as well as concepts like randomness, knowledge, interaction, secrecy and learning.
  • The theory of classifying problems based on how difficult they are to solve.
    A problem is assigned to the P-problem (polynomial-time) class if the number of steps needed to solve it is bounded by some power of the problem's size.
Computational Complexity Theory. Solved Sample Final Exam. Anup Rao. March 11, 2023. DIRECTIONS: 1. (25 points, 5 each) For each of the following assertions 
i) P = NP. Solution: It is an open problem. ii) There is a function f : {0,1}∗ → {0,1} that cannot be computed by any Turing machine.

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