Skip to main content
  • Book
  • © 2005

Abstraction, Refinement and Proof for Probabilistic Systems

Authors:

(view affiliations)
  • This unique, example-driven monograph integrates coverage of random/probabilistic algorithms, assertion-based program reasoning, and refinement programming models, providing a focused survey on probabilistic program semantics

  • Includes supplementary material: sn.pub/extras

Part of the book series: Monographs in Computer Science (MCS)

Buying options

eBook
USD 119.00
Price excludes VAT (USA)
  • ISBN: 978-0-387-27006-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 159.99
Price excludes VAT (USA)
Hardcover Book
USD 219.99
Price excludes VAT (USA)

This is a preview of subscription content, access via your institution.

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xix
  2. Advanced topics: Quantitative modal logic and game interpretations

  3. Back Matter

    Pages 311-383

About this book

Probabilistic techniques are increasingly being employed in computer programs and systems because they can increase efficiency in sequential algorithms, enable otherwise nonfunctional distribution applications, and allow quantification of risk and safety in general. This makes operational models of how they work, and logics for reasoning about them, extremely important.

Abstraction, Refinement and Proof for Probabilistic Systems presents a rigorous approach to modeling and reasoning about computer systems that incorporate probability. Its foundations lie in traditional Boolean sequential-program logic—but its extension to numeric rather than merely true-or-false judgments takes it much further, into areas such as randomized algorithms, fault tolerance, and, in distributed systems, almost-certain symmetry breaking. The presentation begins with the familiar "assertional" style of program development and continues with increasing specialization: Part I treats probabilistic program logic, including many examples and case studies; Part II sets out the detailed semantics; and Part III applies the approach to advanced material on temporal calculi and two-player games.

Topics and features:

* Presents a general semantics for both probability and demonic nondeterminism, including abstraction and data refinement

* Introduces readers to the latest mathematical research in rigorous formalization of randomized (probabilistic) algorithms * Illustrates by example the steps necessary for building a conceptual model of probabilistic programming "paradigm"

* Considers results of a large and integrated research exercise (10 years and continuing) in the leading-edge area of "quantitative" program logics

* Includes helpful chapter-ending summaries, a comprehensive index, and an appendix that explores alternative approaches

This accessible, focused monograph, written by international authorities on probabilistic programming, develops an essential foundation topic for modern programming and systems development. Researchers, computer scientists, and advanced undergraduates and graduates studying programming or probabilistic systems will find the work an authoritative and essential resource text.

Keywords

  • Algorithms
  • Data refinement
  • Program semantics
  • Random algorithms
  • Sequential programming
  • Temporal logic
  • algorithm
  • logic
  • model checking
  • programming
  • semantics

Authors and Affiliations

  • Department of Computing, Macquarie University, Sydney, Australia

    Annabelle McIver

  • School of Computer Science and Engineering, University of New South Wales, Sydney, Australia

    Carroll Morgan

Bibliographic Information

Buying options

eBook
USD 119.00
Price excludes VAT (USA)
  • ISBN: 978-0-387-27006-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 159.99
Price excludes VAT (USA)
Hardcover Book
USD 219.99
Price excludes VAT (USA)