Delta formal definition for DFA How can I formally define * for a dfa with multiple initial states?
I know that the δ formal definition for NFA is δ: Q × ∑ → 2^Q
and for DFA it's δ : Q × Σ → Q
but what should I do if there is multiple initial states?How can I take into consideration all the options for the initial state?It seem like it should combine the NFA definition and DFA definition.. δ: 2^Q × ∑ → Q maybe?but it doesn't seem right neither.

I would appreciate any help I can get on this matter
If you have multiple initial states, then this automata is non-deterministic.