This is related to the book "Introduction to Automata Theory,
Languages, and Computation", 2nd edition. In chapter 9 exercise 9.1.3
a)
Q: The set of all wi such that wi is not accepted by M2i.

In the online solution(http://infolab.stanford.edu/~ullman/ialcsols/
sol9.html#sol91) to the problem author has taken that any TM, which
accepts the language: set of all wi such that wi is not accepted by
M2i, be M = M2i.

Howerver this assumption may be faulty (as far as my thinking says).
If Mj be representation of any TM which accepts the language then j
may or mayn't be 2i .
It is possible that j is some odd natural number. Then, there exists
no i such that j = 2i.

So, we need to extend the solution.

What are your views.


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