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  1. The set of turning machine codes for $\text{TM's}$ that accept all inputs that are palindromes (possible along with some other inputs) is decidable
  2. The language of codes for $\text{TM's}$ $\text{M}$ that when started with blank tape, eventually write a $1$ somewhere on the tape is undecidable
  3. The language accepted by a $\text{TM M }$is $\text{L (M)}$ is always recursive
  4. Post's correspondence problem is undecidable

Choose the correct answer from the options given below:

  1. $\text{i, ii}$ and $\text{iii}$ only
  2. $\text{ii, iii}$ and $\text{iv}$ only
  3. $\text{i}$ and $\text{iii}$ only
  4. $\text{ii}$ and $\text{iv}$ only

 

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