We describe how participants in an interaction use completions of each
others' talk to bind themselves to a collective formulation of a matt
er in hand. In a corpus of problem-oriented discussions among groups o
f two or three people, we find speakers using sequences of completable
utterance - putative completion - ratification to put their formulati
ons of a problem-solution on a joint footing (a participant status tha
t adds 'collective author' to Levinson's catalogue of producer footing
s). We describe the use of the completion sequence, and show how there
are variations in its ratification stage (including explicit acceptan
ce, repeating and reshaping).