Cart (Loading....) | Create Account
Close category search window

A mechanically checked proof of the AMD5K86TM floating-point division program

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Moore, J.S. ; Dept. of Comput. Sci., Texas Univ., Austin, TX, USA ; Lynch, T.W. ; Kaufmann, M.

We report on the successful application of a mechanical theorem prover to the problem of verifying the division microcode program used on the AMD5K86 microprocessor. The division algorithm is an iterative shift and subtract type. It was implemented using floating point microcode instructions. As a consequence, the floating quotient digits have data dependent precision. This breaks the constraints of conventional SRT division theory. Hence, an important question was whether the algorithm still provided perfectly rounded results at 24, 53, or 64 bits. The mechanically checked proof of this assertion is the central topic of the paper. The proof was constructed in three steps. First, the divide microcode was translated into a formal intermediate language. Then, a manually created proof was transliterated into a series of formal assertions in the ACL2 dialect. After many expansions and modifications to the original proof, the theorem prover certified the assertion that the quotient will always be correctly rounded to the target precision

Published in:

Computers, IEEE Transactions on  (Volume:47 ,  Issue: 9 )

Date of Publication:

Sep 1998

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.