Dusko Pavlovic (Kestrel Institute) Coinduction over reals and over analytic functions Abstract I shall supply some evidence for the idea that coinduction induction ----------- = ---------- analysis arithmetic In particular, I'll discuss the coalgebra of analytic functions and of real numbers. (Parts of this work were done jointly with M. Escardo and with V. Pratt.) Depending on time and interest, I will also try to supply some (corrected) details on minimal bicompletions.