Is there any calculus whose algebraization is a countablesigma-complete Lindenbaum algebra, i.e., a sigma-complete Boolean algebra after identification of equivalent formulas?
Post Closed as "Needs details or clarity" by Andrés E. Caicedo, Ricardo Andrade, Joseph Van Name, Ryan Budney, Andrey Rekalo
Edit: changed countable with sigma-complete (including in title)