Assume there is a single tape Turing machine $T$ that is simulating a multi-tape Turing machine $M$. The only information we have about head movement of $T$ is that it behaves as is standard for simulating a multi-tape Turing machine; the head moves rightward across the tape looking for dotted symbols to update. However, the head is guaranteed to move the full length of the tape each time. Is $T$ oblvious?My initial instinct is no, because updating the dotted symbols may depend on the symbol on the tape rather than just the length. However, I read an academic paper online that the simulation of a multi-tape Turing machine simulated by a single tape Turing machine IS oblivious. The paper seemed to impose other conditions aside from moving the head the length of the input though. Is the machine $T$ I described truly oblivious, or not?
Is this Turing machine oblivious?
turing machines;simulation