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Lecture 1-2 Time and Space of DTM

Lecture 1-2 Time and Space of DTM

Lecture 1-2 Time and Space of DTM. Model. Multitape TM with write-only output. Time of DTM. Time Bound. M is said to have a time bound t(n) if for every x with |x| < n, Time M (x) < max {n+1, t(n)}. Theorem.

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Lecture 1-2 Time and Space of DTM

Lecture 1-2 Time and Space of DTM

Lecture 1-2 Time and Space of DTM. Model. Multitape TM with write-only output. Time of DTM. Time Bound. M is said to have a time bound t(n) if for every x with |x| < n, Time M (x) < max {n+1, t(n)}. Theorem.

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482 views • 46 slides
Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation. Edmonds Conjecture in 1965. Traveling Salesman Problem cannot be solved in polynomial time. Cook introduced NP class in 1971. NP: Nondeterminastic Polynomial-time class. Extended Church-Turing Thesis.

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Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation. Edmonds Conjecture in 1965. Traveling Salesman Problem cannot be solved in polynomial time. Cook introduced NP class in 1971. NP: Nondeterminastic Polynomial-time class. Extended Church-Turing Thesis.

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352 views • 32 slides
Lecture 23 Space Complexity of DTM

Lecture 23 Space Complexity of DTM

Lecture 23 Space Complexity of DTM. Space. Space M (x) = # of cell that M visits on the work (storage) tapes during the computation on input x. If M is a multitape DTM, then the work tapes do not include the input tape and the write-only output tape. Space Bound.

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317 views • 21 slides

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