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$\begingroup$ That is a great explanation of why we couldn't just give a simple construction that proves this separation. Thanks. What are reductions? $\endgroup$

river
– river

2020-09-09 16:28:05 +00:00
Commented Sep 9, 2020 at 16:28
1

$\begingroup$ Reductions are a way of transforming one problem to another, in such a way that if one is known to be undecidable, then you can deduce the same for the other. You can read e.g. Sipser Chapter 5. Also, since you seem interested in this stuff, why not take a course (online or physical) about computability? There are many such courses, and since this stuff is being taught for some decades, the material is very polished and usually fun to listen to. $\endgroup$

Shaull
– Shaull

2020-09-09 18:14:00 +00:00
Commented Sep 9, 2020 at 18:14

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