Turing machine computing a function
Let T=(Q, ∑, Γ, δ, s) be a TM, and f be the function from ∑* to Γ*.T computes f if, for string w in ∑*,
- Let T1 and T2 be TM's.
- T1 → T2 means executing T1 until T1 stops and then executing T2.
- T1 -a → T2 means executing T1 until T1 stops and if the symbol under the tape head when T1 halts is a then executing T2.
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