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Probabilistic Analysis Using Theorem Proving

Osman Hasan

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ISBN 10: 3639094727 / ISBN 13: 9783639094725
Published by VDM Verlag
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164 pages. Dimensions: 8.7in. x 5.9in. x 0.4in.Traditionally, computer simulation techniques areused to perform probabilistic analysis. However, theyprovide less accurate results and cannot handlelarge-scale problems due to their enormous CPU timerequirements. Recently, a significant amount offormalization has been done in higher-order logicthat allows us to conduct precise probabilisticanalysis using theorem proving and thus overcome thelimitations of the simulation based probabilisticanalysis approach. Some major contributions includethe formalization of both discrete and continuousrandom variables and the verification of corresponding probabilistic and statisticalproperties. This book presents a concise descriptionof the infrastructures behind these capabilities andtheir utilization to conduct the probabilisticanalysis of real-world systems. The case studies ofthe round-off error of a digital processor, theCoupon Collectors problem and the Stop-and-Waitprotocol are used to illustrate the proposed analysisapproach. Designed as an independent research tool, the bookpresents a well-thought-out treatment of a rapidlyemerging multidisciplinary field across Mathematics, Computer Science and Engineering. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783639094725

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Bibliographic Details

Title: Probabilistic Analysis Using Theorem Proving

Publisher: VDM Verlag

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title

Synopsis:

Traditionally, computer simulation techniques areused to perform probabilistic analysis. However, theyprovide less accurate results and cannot handlelarge-scale problems due to their enormous CPU timerequirements. Recently, a significant amount offormalization has been done in higher-order logicthat allows us to conduct precise probabilisticanalysis using theorem proving and thus overcome thelimitations of the simulation based probabilisticanalysis approach. Some major contributions includethe formalization of both discrete and continuousrandom variables and the verification of corresponding probabilistic and statisticalproperties. This book presents a concise descriptionof the infrastructures behind these capabilities andtheir utilization to conduct the probabilisticanalysis of real-world systems. The case studies ofthe round-off error of a digital processor, theCoupon Collector''s problem and the Stop-and-Waitprotocol are used to illustrate the proposed analysisapproach. Designed as an independent research tool, the bookpresents a well-thought-out treatment of a rapidlyemerging multidisciplinary field across Mathematics,Computer Science and Engineering.

About the Author:

Osman Hasan, PhD, is a Postdoctoral Fellow at ConcordiaUniversity. His research interests include Higher-order-logicTheorem Proving and Probabilistic Analysis.Sofične Tahar, PhD, is a Computer Engineering Professor atConcordia University. His research interests are in FormalVerification of Hardware, Embedded Systems and System-on-Chip.

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