What's the adjective for completions? Here's the word you're looking for.
Included below are past participle and present participle forms for the
verbs complete and compleat which may be used as adjectives within certain contexts.
complete
With all parts included; with nothing missing; full.
(problem) That is in a given complexity class and is such that every other problem in the class can be reduced to it (usually in polynomial time or logarithmic space).
“In making the transition from a doctrinaire flyrodder to an all-around big fish hunter on all kinds of tackle, Trevor Gowdy, became the compleatest angler I know.”