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Probabilistic Analysis using Theorem Proving: A Higher-order Logic Based Approach - Osman Hasan

English
2008-11-07
€96.82 €138.32

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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 ... Full description

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Description

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.

More Information

Author Osman Hasan
Publisher VDM Verlag Dr. Müller
Release year 2008
Cover type Softcover
EAN 9783639094725
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€96.82 €138.32