Here's the statement:
Take a set of finite inputs from some alphabet. If for any two turing machines:
All inputs in the set produce the same output for both
machines
In both machines, the following is true: every state transition
(i.e. every row in the state table) occurs at least once for at
least one of the inputs in the set before halting
Then both machines will produce the same output as each other for any input.
This is an informal statement, it probably needs a bit of refining. But for now the question is, is this true?
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Here's the statement: Take a set of finite inputs from some alphabet. If for any two...
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