1300 187 187
 

Computer-aided Reasoning: ACL2 Studies Pt. 1

An Approach

Hardcover

Published: 31st July 2000
Ships: 7 to 10 business days
RRP $695.99
$626.95
10%
OFF

Computer-Aided Reasoning: An Approach is a textbook introduction to computer-aided reasoning. It can be used in graduate and upper-division undergraduate courses on software engineering or formal methods. It is also suitable in conjunction with other books in courses on hardware design, discrete mathematics, or theory, especially courses stressing formalism, rigor, or mechanized support. It is also appropriate for courses on artificial intelligence or automated reasoning and as a reference for business and industry.
Current hardware and software systems are often very complex and the trend is towards increased complexity. Many of these systems are of critical importance; therefore making sure that they behave as expected is also of critical importance. By modeling computing systems mathematically, we obtain models that we can prove behave correctly. The complexity of computing systems makes such proofs very long, complicated, and error-prone. To further increase confidence in our reasoning, we can use a computer program to check our proofs and even to automate some of their construction.
In this book we present:

  • A practical functional programming language closely related to Common Lisp which is used to define functions (which can model computing systems) and to make assertions about defined functions;
  • A formal logic in which defined functions correspond to axioms; the logic is first-order, includes induction, and allows us to prove theorems about the functions;
  • The computer-aided reasoning system ACL2, which includes the programming language, the logic, and mechanical support for the proof process.
The ACL2 system has been successfully applied to projects of commercial interest, including microprocessor, modeling, hardware verification, microcode verification, and software verification. This book gives a methodology for modeling computing systems formally and for reasoning about those models with mechanized assistance. The practicality of computer-aided reasoning is further demonstrated in the companion book, Computer-Aided Reasoning: ACL2 Case Studies.
Approximately 140 exercises are distributed throughout the book. Additional material is freely available from the ACL2 home page on the Web, including solutions to the exercises, additional exercises, case studies from the companion book, research papers, and the ACL2 system with detailed documentation.

Preface
Introduction
Preliminaries
Overview
Summaries of the Case Studies
ACL2 Essentials
Case Studies
An Exercise in Graph Theory
Modular Proof: The Fundamental Theorem of Calculus
Mu-Calculus Model-Checking
High-Speed, Analyzable Simulators
Verification of a Simple Pipelined Machine Model
The DE Language
Using Macros to Mimic VHDL
Symbolic Trajectory Evaluation
RTL Verification: A Floating-Point Multiplier
Design Verification of a Safety-Critical Embedded Verifier
Compiler Verification Revisited
Ivy: A Preprocessor and Proof Checker for First-Order Logic
Knuth's Generalization of McCarthy's 91 Function
Continuity and Differentiability
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792377443
ISBN-10: 0792377443
Series: Advances in Formal Methods
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 285
Published: 31st July 2000
Dimensions (cm): 23.4 x 15.6  x 1.7
Weight (kg): 0.586