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1 . Show that every infinite decidable language has an undecidable subset. 2 . Do a constructive proof of the previous problem. That is ,

1 .

Show that every infinite decidable language has an undecidable subset.

2 .

Do a constructive proof of the previous problem. That is

,

give a mechanical way to build an undecidable

subset of a given undecidable language.

3 .

Show that every infinite decidable language has infinitely many undecidable subsets.

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