Annabelle McIver & Charles Carroll Morgan 
Abstraction, Refinement and Proof for Probabilistic Systems [PDF ebook] 

Probabilistic guarded commands and their refinement logic.- to p GCL: Its logic and its model.- Probabilistic loops: Invariants and variants.- Case studies in termination: Choice coordination, the dining philosophers, and the random walk.- Probabilistic data refinement: The steam boiler.- Semantic structures.- Theory for the demonic model.- The geometry of probabilistic programs.- Proved rules for probabilistic loops.- Infinite state spaces, angelic choice and the transformer hierarchy.- Advanced topics: Quantitative modal logic and game interpretations.- Quantitative temporal logic: An introduction.- The quantitative algebra of q TL.- The quantitative modal ?-calculus, and gambling games.