Coinductive Proof Principles for Stochastic Processes
arXiv:0711.0194 · doi:10.2168/LMCS-3(4:8)2007
Abstract
We give an explicit coinduction principle for recursively-defined stochastic processes. The principle applies to any closed property, not just equality, and works even when solutions are not unique. The rule encapsulates low-level analytic arguments, allowing reasoning about such processes at a higher algebraic level. We illustrate the use of the rule in deriving properties of a simple coin-flip process.
16 pages, 2 figures. Preliminary version appeared in: Rajeev Alur, ed., Proc. 21st Symp. Logic in Computer Science (LICS'06), pages 359-366. IEEE, August 2006