Coinductive Proof Principles for Stochastic Processes

Dexter Kozen

doi:10.2168/LMCS-3(4:8)2007

Dexter Kozen - Coinductive Proof Principles for Stochastic Processes

lmcs:1098 - Logical Methods in Computer Science, November 12, 2007, Volume 3, Issue 4 - https://doi.org/10.2168/LMCS-3(4:8)2007

Coinductive Proof Principles for Stochastic ProcessesArticle

Authors: Dexter Kozen

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.

Comment: 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

https://doi.org/10.2168/LMCS-3(4:8)2007

Source: arXiv.org:0711.0194

Volume: Volume 3, Issue 4

Published on: November 12, 2007

Imported on: May 2, 2007

Keywords: Computer Science - Logic in Computer Science, F.4.1, F.3.1, I.1.3, I.2.3

Licence: arXiv.org - Assumed non-exclusive license to distribute

Funding:

Source : OpenAIRE Graph