Question: Consider the language HALTTM = { M , w | M is a Turing machine and M halts on w } . We will see

Consider the language HALTTM

= {

,

|

M is a Turing machine and M halts on w

} .

We will see in class that this language is not decidable. However, suppose that we are able to somehow provide a decider for this language; this kind of

magical

decider is sometimes called an oracle. Show that we would then be able to provide a decider for the language D

= {

|

p is a diophantine equation with integer roots

} .

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