Does there exist a procedure that determines if a polytime machine prints a certain string, and does so in less time than the machine itself takes to run?Define a machine $a$ that analyzes another machine $b$, input $i$, and string $r$:$a(b,i,r) = b(i) \text{ prints } r$           $[T_b = O(n^k), k >= 2]$Is there an $a$ with run-time $T_a \in o(T_b)$ on all $b,i,r$?
determine if a machine prints a certain string in less time than it takes to run the machine itself?
complexity theory;time complexity;turing machines