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    A non-deterministic machine with space bound f(n) can be ... — Carmelics
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    Supports→NSPACE(f(n)) is a subset of TIME(2^O(f(n)))

    A non-deterministic machine with space bound f(n) can be simulated deterministically in exponential time

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    NSPACE(f(n)) is a subset of TIME(2^O(f(n)))f(n) is both time and space constructible

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    2 Complexity classes and the hierarchy theorems Recall that a complexity class is a set of languages all of which can be decided within a given time or space complexity bound \(t(n)\) or \(s(n)\) with respect to a fixed model of computation. g. non-recursive ones) it is standard to restrict attention to complexity classes defined when \(t(n)\) and \(s(n)\) are time or space constructible. e. a string of \(n\) 1s) halts after exactly \(t(n)\) steps. Similarly, \(s(n)\) is said to be space constru

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