  In this paper, we present a generalized effective completeness theorem for
continuous logic. The primary result is that any continuous theory is satisfied
in a structure which admits a presentation of the same Turing degree. It then
follows that any decidable theory is satisfied by a computably presentable
structure. This modifies and extends previous partial effective completeness
theorems for continuous logic given by Calvert and Didehvar, Ghasemloo, and
Pourmahdian.
