A Verified Bignum Implementation in x86-64 Machine Code

Add to your list(s) Download to your calendar using vCal

• Magnus Myreen (University of Cambridge)
• Tuesday 19 November 2013, 13:00-14:00
• Computer Laboratory, William Gates Building, Room SS03.

If you have a question about this talk, please contact William Denman.

This is a 20-minute preview of a talk I’ll give at CPP ’13.

Verification of machine code can easily deteriorate into an endless clutter of low-level details. This paper presents a case study which shows that machine-code verification does not necessitate ghastly low-level proofs. The case study we describe is the construction of an x86-64 implementation of arbitrary-precision integer arithmetic. Compared with closely related work, our proofs are shorter and, more importantly, the reasoning is at a more convenient high level of abstraction, e.g. pointer reasoning is largely avoided. We achieve this improvement as a result of using an abstraction for arrays and previously developed tools, namely, a proof-producing decompiler and compiler. The work presented in this paper has been developed in the HOL4 theorem prover. The case study resulted in 800 lines of verified 64-bit x86 machine code.

This talk is part of the Computer Laboratory Automated Reasoning Group Lunches series.

This talk is included in these lists:

• All Talks (aka the CURE list)
• Computer Laboratory Automated Reasoning Group Lunches
• Computer Laboratory talks
• Computer Laboratory, William Gates Building, Room SS03
• School of Technology

Note that ex-directory lists are not shown.