I was wondering if for every NFA there exists an equivalent DFA? I think the answer is yes. How would one prove it? Since I'm just starting up learning about Automata I'm not confused about this and especially the proof of such a statement.
2026-04-03 23:41:17.1775259677
Can _any_ NFA be converted to a DFA?
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Indeed, every NFA can be converted to an equivalent DFA. In fact, DFAs, NFAs and regular expressions are all equivalent. One approach would be to observe the NFA and, if it is simple enough, determine the regular expression that it recognizes, then convert the regular expression to a DFA.
Yet, there are algorithms out there that can take an NFA and produce its equivalent DFA. For example, the powerset construction check out this link and google:
http://en.wikipedia.org/wiki/Powerset_construction
Furthermore, every DFA has a unique minimum state DFA that recognizes a regular expression using a minimal number of states. This DFA state minimization also has an algorithm.
Good luck!