Question: A partial DFA is a 5-tuple M = (Q, Sigma, delta, q_0, F), where the only difference from a DFA is that the transition function

A partial DFA is a 5-tuple M = (Q, Sigma, delta, q_0, F), where the only difference from a DFA is that the transition function is some delta: U rightarrow Q for some U SubsetEqual Q times Sigma. That is, a partial DFA is a DFA if and only if U = Q times Sigma. Are partial DFAs and DFAs equivalent? That is, for every partial DFA M, is there a DFA M' such that L(M) = L(M')?^1 Why or why not
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