Kleene-Mostowski 1943-1947 arithmetic hierarchy: Sigma_n = exists-then-bounded-quantifiers; Pi_n = forall-then-bounded; Halting = Sigma_1; Tot = Pi_2; Cof = Sigma_3; etc.
Kleene-Mostowski 1943-1947 arithmetic hierarchy: Sigma_n = exists-then-bounded-quantifiers; Pi_n = forall-then-bounded; Halting = Sigma_1; Tot = Pi_2; Cof = Sigma_3; etc.