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Affine Arithmetic
| Title: | Affine Arithmetic |
| Author: | Fabian Immler |
| Submission date: | 2014-02-07 |
| Abstract: | We give a formalization of affine forms as abstract representations of zonotopes. We provide affine operations as well as overapproximations of some non-affine operations like multiplication and division. Expressions involving those operations can automatically be turned into (executable) functions approximating the original expression in affine arithmetic. |
| Change history: | [2015-01-31]: added algorithm for zonotope/hyperplane intersection |
| BibTeX: |
@article{Affine_Arithmetic-AFP,
author = {Fabian Immler},
title = {Affine Arithmetic},
journal = {Archive of Formal Proofs},
month = feb,
year = 2014,
note = {\url{http://isa-afp.org/entries/Affine_Arithmetic.shtml},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Used by: | Ordinary_Differential_Equations |
| Status: [skipped] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
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