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

Hasan, Osman

ISBN 10: 3639094727 / ISBN 13: 9783639094725

Verlag: VDM Verlag Dr. Müller, 2008

Beschreibung

In.

Bestandsnummer des Verkäufers ria9783639094725_new

Bibliografische Details

• Titel: Probabilistic Analysis using Theorem Proving: A Higher-order Logic Based Approach
• Verlag: VDM Verlag Dr. Müller
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 3639094727
• ISBN-13: 9783639094725
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.