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Space hierarchy - PowerPoint PPT Presentation


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



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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499 views • 46 slides


Lecture 4 Hierarchy Theorem

Lecture 4 Hierarchy Theorem

Lecture 4 Hierarchy Theorem. Space Hierarchy Theorem. Space-constructible function. s(n) is fully space-constructible if there exists a DTM M such that for sufficiently large n and any input x with |x|=n, Space M (x) = s(n). Space Hierarchy. If

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406 views • 27 slides


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