Unformatted text preview: ,...,n k can be partitioned into two disjoint sets B 1 and B 2 such that the sum of the integers in B 1 = the sum of the integers in B 2 } . Note that L is the “unary” representation of the partition problem. Show that L is in P. ( Hint : NSPACE(log n) is contained in P.) 4. Show that if NSPACE ( log n ) = DSPACE ( log n ), then NSPACE ( n ) = DSPACE ( n ). (Use the “translation/padding technique”.) 5. Show that DSPACE ( n 2 log n ) properly contains DSPACE ( n 2 ). 6. Show that for every positive integer k ≥ 1, NSPACE ( n k +1 ) properly contains NSPACE ( n k ) 1...
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- Winter '08
- Addition, Natural number, SP ACE, DSP ACE