Notes on Complexity Theory Last updated : September , 2015 Lecture 5
نویسنده
چکیده
Recall that when defining the space complexity of a language, we look at the number of cells required on the work tapes of a turing machine that decides the language. In particular, we do not care about the number of cells required to represent the input or output of the computation: this will allow us to compute functions in sub-linear space. Just as in the case of time complexity, we will also consider the space complexity of non-deterministic turing machines. In direct analogy to time complexity, we consider the space of a non-deterministic machine to be the amount of space used in the worst-case over the choices of state transitions. We now define some of the important space-complexity classes we will study:
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