3. Let T = {< M > | m accepts w" when it accepts w. }....

Question

Question

3. Let T = {< M > | m accepts w when it accepts w. }. Show T is undecidable.

Answer 1

Answer #1

This can be easily proved using Rice's Theorem.

Rice's theorem states that any non-trivial property of a Turing Machine is undecidable.

A non trivial property is a property is not possesed by all Turing Machines

Because not all Turing Machines can accept their reverse, so it is undecidable

Answer 2

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