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Much like many math equations can be simplified. I am wondering if Deterministic Finite Automata diagrams can equal each other while some may be more simplified than others. I am following the youtube video and I am wondering if the graph that I drew with pencil and paper would also be correct. Given the Prompt:

Construct a DFA that accepts any strings over {a,b} that does not contain the string aabb in it.

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Can we have more than one Deterministic Finite Automata (DFA) diagrams for a set of strings?

Of course!

There's also an algorithm to minimize a deterministic finite automata into a minimal deterministic finite automata. The existence of such algorithm is a proof that for most, if not all, sets of strings, many DFAs can be defined.

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  • $\begingroup$ After reading I must agree. Thanks for answering my somewhat obvious question @john $\endgroup$ – Aaron Miller Sep 25 at 16:55

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