Question: A common problem that arises in software debugging is determining the condition under which a particular error message might be printed. The analogous problem for

A common problem that arises in software debugging is determining the condition under which a particular error message might be printed.

The analogous problem for TMs would be to determine if a particular symbol is ever written to the tape.

Prove by reduction that L_sym, the set of pairs (T,s) where T is a Turing machine and s is a symbol that is written by T on some input, is not recursive.

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