The halting problem (https://en.wikipedia.org/wiki/Halting_problem) has been shown to be equivalent to the problem of determining whether a given Diophantine equation has solutions.
I need to see a reference about this statement
2026-03-28 07:43:05.1774683785
The halting problem and Diophantine equation
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Deciding whether a given Diophantine equation has a solution is Hilbert's tenth problem.
What you're looking for is Matiyasevich's theorem
A good reference is this survey from Jochen Koenigsmann.