Consider the problem of determining whether a single-tape Turing machine ever writes…

/in /by

Consider the problem of determining whether a single-tape Turing machine ever writes

a blank symbol over a nonblank symbol during the course of its computation many

input string. Formulate this problem as a language and show that it is undecidable.

2. Show that A is decidable iff A = m 0

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3. Let J = {w| either w = 0x for some x ? A tw. or w = 1y for some y ? ATM} Show

that neither J nor J¯ is Turing-recognizable.

4. Give an example of an undecidable language B, where B =m B¯

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