Describe in clear English a Turing machine that semidecides the following language.

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The language being L, which is described as follows:

$L$ = { $<M>$ | $M$ accepts the binary encodings of at least 4 odd numbers } .


I understand that this involves using one turing machine to simulate another. What sort of methodology could I use for these kinds of questions?

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Describe a Turing machine that can:

  1. generate the requested encodings
  2. pass it to the original machine
  3. stop if original machine would accept