Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Formal Verification of Floating-Poin...
~
SpringerLink (Online service)
Formal Verification of Floating-Point Hardware Design = A Mathematical Approach /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Formal Verification of Floating-Point Hardware Design/ by David M. Russinoff.
Reminder of title:
A Mathematical Approach /
Author:
Russinoff, David M.
Description:
XXIV, 382 p. 32 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Electronic circuits. -
Online resource:
https://doi.org/10.1007/978-3-319-95513-1
ISBN:
9783319955131
Formal Verification of Floating-Point Hardware Design = A Mathematical Approach /
Russinoff, David M.
Formal Verification of Floating-Point Hardware Design
A Mathematical Approach /[electronic resource] :by David M. Russinoff. - 1st ed. 2019. - XXIV, 382 p. 32 illus.online resource.
1 Basic Arithmetic Functions -- 2 Bit Vectors -- 3 Logical Operations -- 4 Floating-Point Numbers -- 5 Floating-Point Formats -- 6 Rounding -- 7 IEEE-Compliant Square Root -- 8 Addition -- 9 Multiplication -- 10 SRT Division and Square Root -- 11 FMA-Based Division -- 12 SSE Floating-Point Instructions -- 13 x87 Instructions -- 14 Arm Floating-Point Instructions -- 15 The Modeling Language -- 16 Double-Precision Multiplication -- 17 Double-Precision Addition and FMA -- 18 Multi-Precision Radix-4 SRT Division -- 19 Multi-Precision Radix-4 SRT Square Root.
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. .
ISBN: 9783319955131
Standard No.: 10.1007/978-3-319-95513-1doiSubjects--Topical Terms:
563332
Electronic circuits.
LC Class. No.: TK7888.4
Dewey Class. No.: 621.3815
Formal Verification of Floating-Point Hardware Design = A Mathematical Approach /
LDR
:04080nam a22003975i 4500
001
1015470
003
DE-He213
005
20200704112152.0
007
cr nn 008mamaa
008
210106s2019 gw | s |||| 0|eng d
020
$a
9783319955131
$9
978-3-319-95513-1
024
7
$a
10.1007/978-3-319-95513-1
$2
doi
035
$a
978-3-319-95513-1
050
4
$a
TK7888.4
072
7
$a
TJFC
$2
bicssc
072
7
$a
TEC008010
$2
bisacsh
072
7
$a
TJFC
$2
thema
082
0 4
$a
621.3815
$2
23
100
1
$a
Russinoff, David M.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1309611
245
1 0
$a
Formal Verification of Floating-Point Hardware Design
$h
[electronic resource] :
$b
A Mathematical Approach /
$c
by David M. Russinoff.
250
$a
1st ed. 2019.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2019.
300
$a
XXIV, 382 p. 32 illus.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
505
0
$a
1 Basic Arithmetic Functions -- 2 Bit Vectors -- 3 Logical Operations -- 4 Floating-Point Numbers -- 5 Floating-Point Formats -- 6 Rounding -- 7 IEEE-Compliant Square Root -- 8 Addition -- 9 Multiplication -- 10 SRT Division and Square Root -- 11 FMA-Based Division -- 12 SSE Floating-Point Instructions -- 13 x87 Instructions -- 14 Arm Floating-Point Instructions -- 15 The Modeling Language -- 16 Double-Precision Multiplication -- 17 Double-Precision Addition and FMA -- 18 Multi-Precision Radix-4 SRT Division -- 19 Multi-Precision Radix-4 SRT Square Root.
520
$a
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. .
650
0
$a
Electronic circuits.
$3
563332
650
0
$a
Software engineering.
$3
562952
650
0
$a
Microprocessors.
$3
632481
650
0
$a
Computer software—Reusability.
$3
1254984
650
1 4
$a
Circuits and Systems.
$3
670901
650
2 4
$a
Software Engineering.
$3
669632
650
2 4
$a
Processor Architectures.
$3
669787
650
2 4
$a
Performance and Reliability.
$3
669802
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319955124
776
0 8
$i
Printed edition:
$z
9783319955148
776
0 8
$i
Printed edition:
$z
9783030070489
856
4 0
$u
https://doi.org/10.1007/978-3-319-95513-1
912
$a
ZDB-2-ENG
912
$a
ZDB-2-SXE
950
$a
Engineering (SpringerNature-11647)
950
$a
Engineering (R0) (SpringerNature-43712)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login