Is the following computable ?
Notation: We use $Φ_k$ to denote the k-th computable function
$$g(x) = \begin{cases} 1 & ∀z (Φ_x(z) = 2 ∨ Φ_x(z) ↑) \\ ↑\ &otherwise \end{cases} $$
I really need your help.
Thanks
2026-04-03 17:51:25.1775238685
Can we tell if a program always returns 2 when it halts?
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