Lineal: A linear-algebraic Lambda-calculus

We provide a computational definition of the notions of vector space and bilinear functions. We use this result to introduce a minimal language combining higher-order computation and linear algebra. This language extends the Lambda-calculus with the possibility to make arbitrary linear combinations...

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Bibliographic Details
Main Authors: Pablo Arrighi, Gilles Dowek
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2017-03-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/3203/pdf