Complexity theory lecture

  • What is the concept of complexity classes?

    More formally, the definition of a complexity class consists of three things: a type of computational problem, a model of computation, and a bounded computational resource.
    In particular, most complexity classes consist of decision problems that can be solved by a Turing machine with bounded time or space resources..

Complexity Theory seeks to understand what makes certain problems algorithmically difficult to solve. In Data Structures and Algorithms, we saw how to measureĀ 
Complexity Theory seeks to understand what makes certain problems algorithmically difficult to solve.
In computational complexity theory, the complexity class FL is the set of function problems which can be solved by a deterministic Turing machine in a logarithmic amount of memory space.
As in the definition of L, the machine reads its input from a read-only tape and writes its output to a write-only tape; the logarithmic space restriction applies only to the read/write working tape.

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