Every Diophantine set over the naturals has an integer representation with only 11 unknowns and degree below an explicit but huge bound.
Reduction of an arbitrary dio- phantine equation to one in 13 unknowns
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Diophantine Equations over $\mathbb Z$: Universal Bounds and Parallel Formalization
Every Diophantine set over the naturals has an integer representation with only 11 unknowns and degree below an explicit but huge bound.