Abstraction, Refinement and Proof for Probabilistic Systems

About this book

The book is a focused survey on probabilistic program semantics, .,conceived to tell a coherent story with a uniform notation. It is grouped into three themes: Part I is for 'users' of the techniques who will be developing actual programs., Part II gives mathematical foundations intended for those studying exactly how it was done and how to build semantic structures/models in their own work., and Part III describes a very 'hot' research direction, temporal logic and model checking.

Topics and features:

- introduces readers to very up-to-date research in the mathematics of rigorous development of randomized (probabilistic) algorithms

- illustrates by example the typical steps necessary in Computer Sciences to build a mathematical model of any programming paradigm

- presents results of a large and integrated body of research in the area of 'quantitative' program logics

An advanced research survey monograph, integrating three major topic areas: random/probabilistic algorithms, assertion-based program reasoning, and refinement programming models. Essential foundation topic for modern sequential programming methodology.