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Isar — A Generic Interpretative Approach to Readable Formal Proof Documents
Author(s) -
Alexander Bentkamp,
Jasmin Christian Blanchette,
Dietrich Klakow
Publication year - 1999
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-66463-7
DOI - 10.1007/3-540-48256-3_12
Subject(s) - mathematical proof , computer science , inverse synthetic aperture radar , abstraction , proof assistant , programming language , proof of concept , interpreter , bridge (graph theory) , theoretical computer science , artificial intelligence , radar , mathematics , radar imaging , telecommunications , philosophy , geometry , epistemology , operating system , medicine
International audienceDeep learning has had a profound impact on computer science in recent years, with applications to image recognition, language processing, bioinformatics, and more. Recently, Cohen et al. provided theoretical evidence for the superiority of deep learning over shallow learning. We formalized their mathematical proof using Isabelle/HOL. The Isabelle development simplifies and generalizes the original proof, while working around the limitations of the HOL type system. To support the formalization, we developed reusable libraries of formalized mathematics, including results about the matrix rank, the Borel measure, and multivariate polynomials as well as a library for tensor analysis

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