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Computer Arithmetic and Formal Proofs: Verifying Floating-point Algorithms with the Coq System by Sylvie Boldo. Read online, or download in secure PDF or secure ePub (digitally watermarked) format Floating-point arithmetic is ubiquitous in modern computing, as it is the tool of choice to approximate real numbers. An appendix provides a historical look at of the speculates and discipline about its long term.An indispensable reference for coaching, professional growth, and analysis, Personal computer Arithmetic: Algorithms and Components Designs, Next Edition, offers broad insurance coverage of the underlying theories of personal computer maths with many illustrations of practical models, worked-out illustrations, and a huge series of meaningful difficulties.
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Personal information is secured with SSL technology.- The Oxford Series in Electrical and Computer Engineering. An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples.
- Arithmetic and Logic Operations. Reading Assignments and Exercises. The ALU is the core of the computer - it performs arithmetic and logic operations on data that not only realize the goals of various applications (e.g., scientific and engineering programs), but also manipulate addresses (e.g., pointer arithmetic).
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Description
Floating-point arithmetic is ubiquitous in modern computing, as it is the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and potentially lead to numerous failures. One way to greatly increase confidence in floating-point software is by computer-assisted verification of its correctness proofs. 3cx user guide.
This book provides a comprehensive view of how to formally specify and verify tricky floating-point algorithms with the Coq proof assistant. Jcm 2000 dsl 100 manual. It describes the Flocq formalization of floating-point arithmetic and some methods to automate theorem proofs. It then presents the specification and verification of various algorithms, from error-free transformations to a numerical scheme for a partial differential equation. The examples cover not only mathematical algorithms but also C programs as well as issues related to compilation.
- Describes the notions of specification and weakest precondition computation and their practical use
- Shows how to tackle algorithms that extend beyond the realm of simple floating-point arithmetic
- Includes real analysis and a case study about numerical analysis
Arithmetic Error Definition
Readership
Graduate students in computer science; Researchers in either computer arithmetic or formal verification
1. Floating-Point Arithmetic
2. The Coq System
3. Formalization of Formats and Basic Operators
4. Automated Methods
5. Error-Free Computations and Applications
6. Example Proofs of Advanced Operators
7. Compilation of FP Programs
8. Deductive Program Verification
9. Real and Numerical Analysis
2. The Coq System
3. Formalization of Formats and Basic Operators
4. Automated Methods
5. Error-Free Computations and Applications
6. Example Proofs of Advanced Operators
7. Compilation of FP Programs
8. Deductive Program Verification
9. Real and Numerical Analysis
Details
- No. of pages:
- 326
- Language:
- English
- Copyright:
- © ISTE Press - Elsevier 2018
Computer Arithmetic Ppt
- Published:
- 16th November 2017
- Imprint:
- ISTE Press - Elsevier
- Hardcover ISBN:
- 9781785481123
- eBook ISBN:
- 9780081011706
Computer Arithmetic Tutorial Pdf
Floating-point arithmetic is ubiquitous in modern computing, as it is the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and potentially lead to numerous failures. One way to greatly increase confidence in floating-point software is by computer-assisted verification of its correctness proofs.Computer Arithmetic Book Pdf
This book provides a comprehensive view of how to formally specify and verify tricky floating-point algorithms with the Coq proof assistant. It describes the Flocq formalization of floating-point arithmetic and some methods to automate theorem proofs. It then presents the specification and verification of various algorithms, from error-free transformations to a numerical scheme for a partial differential equation. The examples cover not only mathematical algorithms but also C programs as well as issues related to compilation.
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