A diophantine definition of the Kleene star

67 Views Asked by At

Let $f(x \, | \, y_1, \dots, y_n)$ be a Diophantine polynomial that generates the Diophantine set $F$. By Matiyasevich, the set $F^*$ (Kleene star of $F$) is also Diophantine. My question: how can we express the Diophantine polynomial $f^*$ that generates $F^*$ in terms of $f$?