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  • $\begingroup$ Sorry I should have been more specific. The machine is a Universal Turing Machine and the program is (an encoding of) the set of five-tuples that describe what Turing machine is being emulated. $\endgroup$ Commented Jul 10, 2015 at 22:47
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    $\begingroup$ The language of inputs to a universal Turing machine does have a name (probably several). I Guess the most common one is Natual numbers. However, in his 1936 paper, Turing uses the expression "standard description" (S.D.) for the input given to his universal computing machine. $\endgroup$ Commented Jul 10, 2015 at 23:08