hw3 - aspace ( s ( n )) time (2 O ( s ( n )) ). (d) (Extra...

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University of Maryland CMSC652 — Complexity Theory Professor Jonathan Katz Homework 3 Due at the beginning of class on Oct. 17 I suggest to use L A T E Xwhen typing up your solutions. 1. Assume s ( n ) ,t ( n ) n are space/time-constructible. (a) Prove that nspace ( s ( n )) atime ( s ( n ) 2 ). (b) Prove that atime ( t ( n )) space ( t ( n )). (c) Prove that
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Unformatted text preview: aspace ( s ( n )) time (2 O ( s ( n )) ). (d) (Extra credit) Prove that time ( t ( n )) aspace (log t ( n )). 2. Prove that the two denitions of P / poly given in class are equivalent. 3. Arora-Barak, Exercise 6.3. 4. Exercise 6.9. 1...
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This note was uploaded on 01/13/2012 for the course CMSC 652 taught by Professor Staff during the Fall '08 term at Maryland.

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