Understanding Nondeterministic Turing Machines 🤔

Here we look at the final variant of Turing Machines: the nondeterministic TM (NTM), which allows any number of transitions from any state and tape symbol observed. We show how to have a deterministic TM simulate such a machine with the "computation tree" approach (although it isn't actually a tree!). The idea is to do a "breadth first search" of the tree, one level at a time, and if a q_accept is reached, then we accept. If not, we have to do several things to make sure this machine is a decider iff the original nondeterministic machine was, but it can be done.

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I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.