On the structure of one-tape nondeterministic Turing machine time hierarchy
Theoretical Computer Science
MFCS '95 Proceedings of the 20th International Symposium on Mathematical Foundations of Computer Science
Probabilistic computations: Toward a unified measure of complexity
SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
Theory of one-tape linear-time Turing machines
Theoretical Computer Science
Immunity and pseudorandomness of context-free languages
Theoretical Computer Science
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We discuss the power and limitations of various "advice," when it is given particularly to weak computational models of one-tape two-way linear-time Turing machines and one-way finite (state) automata. Of various advice types, we consider deterministically-chosen advice, which is selected depending only on input size, and randomly-chosen advice, which is chosen according to certain probability distributions. We show that machines can be significantly enhanced in computational power when advice is provided; on the contrary, there are clear limitations on such a power.