I know a key part of the Cook-Levin theorem proof (as presented in the book by Sipser) is that given two rows of configurations, if the upper row is a valid configuration of a nondeterministic Turing machine $N$, and every 23 window is consistent with $N$, then the second row is either identical with the upper row or follows from it by a transition of $N$.Would this still remain true if we were to replace the 2x3 window with a 2x2 window?
Question regarding Cook-Levin theorem proof
complexity theory;formal languages