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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Elektronik, Elektro- und Nachrichtentechnik Formal Verification of Floating-Point Hardware Design
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Formal Verification of Floating-Point Hardware Design
David M. Russinoff (Taschenbuch, Englisch)
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Beschreibung
This is the first book to focus on the problem of ensuring the correctness of floating-point hardware designs through mathematical methods. Formal Verification of Floating-Point Hardware Design advances a verification methodology based on a unified theory of register-transfer logic and floating-point arithmetic that has been developed and applied to the formal verification of commercial… floating-point units over the course of more than two decades, during which the author was employed by several major microprocessor design companies. The book consists of five parts, the first two of which present a rigorous exposition of the general theory based on the first principles of arithmetic. Part I covers bit vectors and the bit manipulation primitives, integer and fixed-point encodings, and bit-wise logical operations. Part II addresses the properties of floating-point numbers, the formats in which they are encoded as bit vectors, and the various modes of floating-point rounding. In Part III, the theory is extended to the analysis of several algorithms and optimization techniques that are commonly used in commercial implementations of elementary arithmetic operations. As a basis for the formal verification of such implementations, Part IV contains high-level specifications of correctness of the basic arithmetic instructions of several major industry-standard floating-point architectures, including all details pertaining to the handling of exceptional conditions. Part V illustrates the methodology, applying the preceding theory to the comprehensive verification of a state-of-the-art commercial floating-point unit. All of these results have been formalized in the logic of the ACL2 theorem prover and mechanically checked to ensure their correctness. They are presented here, however, in simple conventional mathematical notation. The book presupposes no familiarity with ACL2, logic design, or any mathematics beyond basic high school algebra. It will be of interest to verification engineers as well as arithmetic circuit designers who appreciate the value of a rigorous approach to their art, and is suitable as a graduate text in computer arithmetic. 90,94 €
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Technische Daten
Erscheinungsdatum
25.01.2019
Sprache
Englisch
EAN
9783030070489
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
David M. Russinoff
Seitenanzahl
382
Auflage
Softcover reprint of the original 1st edition 2019
Einbandart
Taschenbuch
Buch Untertitel
A Mathematical Approach
Schlagwörter
floating-point arithmetic, interactive theorem proving, ACL2, formal verification, computer aritmetic, SRT division, Booth multiplication, formal specification of arithmetic instructions, IEEE compliance
Thema-Inhalt
TJFC - Schaltkreise und Komponenten (Bauteile)
UMZ - Software Engineering
UYF - Rechnerarchitektur und Logik-Entwurf
UK - Computerhardware
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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