logic - Direct Reduction, Turing machine and a DFA -


i have been reading , trying understand reduction when comes truing machine. how understand it: means reduces problem problem c. not quite sure how totally works. lets see example:

given language l:

l ={<m,d>| m s tm , d dfa l(m) = l(d)},

using reduction how prove atm < l.

my solution:

m turing machine accepts string , halts on string. d dfa hast accepts language l , equivalent tm m. atm tm, m accepts string w.

how can prove using direct reduction atm < l??


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