A library of Taylor models for PVS automatic proof checker

Details A library of Taylor models for PVS automatic proof checker A library of Taylor models for PVS automatic proof checker

2006-02-03

arxiv.org/abs/cs/0602005v1

Computer Science

Mathematical Software

Scientific paper

We present in this paper a library to compute with Taylor models, a technique extending interval arithmetic to reduce decorrelation and to solve differential equations. Numerical software usually produces only numerical results. Our library can be used to produce both results and proofs. As seen during the development of Fermat's last theorem reported by Aczel 1996, providing a proof is not sufficient. Our library provides a proof that has been thoroughly scrutinized by a trustworthy and tireless assistant. PVS is an automatic proof assistant that has been fairly developed and used and that has no internal connection with interval arithmetic or Taylor models. We built our library so that PVS validates each result as it is produced. As producing and validating a proof, is and will certainly remain a bigger task than just producing a numerical result our library will never be a replacement to imperative implementations of Taylor models such as Cosy Infinity. Our library should mainly be used to validate small to medium size results that are involved in safety or life critical applications.

Affiliated with

Also associated with

No associations

Rating

A library of Taylor models for PVS automatic proof checker 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 A library of Taylor models for PVS automatic proof checker, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A library of Taylor models for PVS automatic proof checker will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-484555