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Cofree coalgebras and differential linear logic

Published online by Cambridge University Press:  10 June 2020

James Clift  and
Daniel Murfet Open the ORCID record for Daniel Murfet [Opens in a new window]
James Clift
Affiliation:
Department of Mathematics, University of Melbourne
Daniel Murfet*
Affiliation:
Department of Mathematics, University of Melbourne
*
*Corresponding author. Email: d.murfet@unimelb.edu.au
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Abstract

We prove that the semantics of intuitionistic linear logic in vector spaces which uses cofree coalgebras is also a model of differential linear logic, and that the Cartesian closed category of cofree coalgebras is a model of the simply typed differential λ-calculus.

Keywords

linear logicdifferential linear logicsemantics

Information

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 30 , Issue 4 , April 2020 , pp. 416 - 457
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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