Higher Order Automatic Differentiation of Higher Order Functions

We present semantic correctness proofs of automatic differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a choice of derivatives for basic operations. We describe a rich...

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Bibliographic Details

Published in:	Logical Methods in Computer Science
Main Authors:	Mathieu Huot, Sam Staton, Matthijs Vákár
Format:	Article
Language:	English
Published:	Logical Methods in Computer Science e.V. 2022-03-01
Subjects:	computer science - programming languages computer science - logic in computer science
Online Access:	https://lmcs.episciences.org/7106/pdf