Define a ram turing machine to be a turing machine

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Problem

Define a RAM Turing machine to be a Turing machine that has random access memory. We formalize this as follows: The machine has an infinite array A that is initialized to all blanks. It accesses this array as follows. Get the instant assignment help. One of the machine's work tapes is designated as the address tape. Also the machine has two special alphabet symbols denoted by R and W and an additional state we denote by qaccess. Whenever the machine enters qaccess, if its address tape contains [i]R (where [i] denotes the binary representation of i) then the value A[i] is written in the cell next to the R symbol. If its tape contains [i]W σ (where σ is some symbol in the machine's alphabet) then A[i] is set to the value σ. Show that for every T : N → N, any RAM TM that runs in time T(n) can be simulated by a standard TM in time O(T(n) 3 ).

Reference no: EM133912560

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