Stochastic Formal Methods: An application to accuracy of numeric software

Details Stochastic Formal Methods: An application to accuracy of numeric software Stochastic Formal Methods: An application to accuracy of numeric software

2006-06-23

arxiv.org/abs/cs/0606101v4

Computer Science

Mathematical Software

Scientific paper

This paper provides a bound on the number of numeric operations (fixed or floating point) that can safely be performed before accuracy is lost. This work has important implications for control systems with safety-critical software, as these systems are now running fast enough and long enough for their errors to impact on their functionality. Furthermore, worst-case analysis would blindly advise the replacement of existing systems that have been successfully running for years. We present here a set of formal theorems validated by the PVS proof assistant. These theorems will allow code analyzing tools to produce formal certificates of accurate behavior. For example, FAA regulations for aircraft require that the probability of an error be below $10^{-9}$ for a 10 hour flight.

Affiliated with

Also associated with

No associations

Rating

Stochastic Formal Methods: An application to accuracy of numeric software does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stochastic Formal Methods: An application to accuracy of numeric software, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic Formal Methods: An application to accuracy of numeric software will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529105