Computational complexity theory ppt

  • How important is computational complexity?

    Computer scientists use mathematical measures of complexity that allow them to predict, before writing the code, how fast an algorithm will run and how much memory it will require.
    Such predictions are important guides for programmers implementing and selecting algorithms for real-world applications..

  • Who developed the concept of computational complexity and in what year?

    The basic definitions of time and space complexity for the Turing machine model were first systematically formulated by Hartmanis and Stearns (1965) in a paper called “On the Computational Complexity of Algorithms”..

  • The goal of complexity theory is to quantify the inherent time needs of algorithms, or the fundamental time limitations that an algorithm would impose on any computer.
    This is accomplished by counting how many basic operations are performed during the computation.
Main idea: Computation is local; i.e. every step of computation looks at and changes only constantly many bits; and this step can be implemented by a small CNF 

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