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Sep 4 at 17:20 comment added J.-E. Pin Thanks Ben for your answer !
Apr 20 at 1:57 vote accept Jason Berry
Apr 19 at 16:01 comment added Jason Berry Ok, I think I understand now.
Apr 19 at 15:02 comment added Benjamin Steinberg I’m not sure I understand your comment.
Apr 19 at 13:54 comment added Jason Berry Thank you for your response. Sorry if this is obvious, but to clarify with some examples (for preliminary understanding I work better with examples and cannot find many online). I think of congruence I think of mod (I.e. $16 \equiv 9 \equiv 2 ( mod7)$, always results in 2). But, with finite automata, the results that are the same are states and not the sequence of chars. For example, the following equivalence relations match on state but not char sequence, this is the syntactic congruence? Example: (3,ab,3), (3,aab,3), (3,aaab,3), ..., (3,aabb,3), (3,aaabbb,3), ...
Apr 19 at 3:19 history edited Benjamin Steinberg CC BY-SA 4.0
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Apr 19 at 3:14 history edited Benjamin Steinberg CC BY-SA 4.0
added 284 characters in body
Apr 19 at 3:08 history answered Benjamin Steinberg CC BY-SA 4.0