Foster, Simon David orcid.org/0000-0002-9889-9514 and Zeyda, Frank (2017) Optics in Isabelle/HOL. Archive of Formal Proofs. pp. 1-28.
Abstract
Lenses provide an abstract interface for manipulating data types through spatially separated views. They are defined abstractly in terms of two functions, get, the return a value from the source type, and put that updates the value. We mechanise the underlying theory of lenses, in terms of an algebraic hierarchy of lenses, including well-behaved and very well-behaved lenses, each lens class being characterised by a set of lens laws. We also mechanise a lens algebra in Isabelle that enables their composition and comparison, so as to allow construction of complex lenses. This is accompanied by a large library of algebraic laws. Moreover we also show how the lens classes can be applied by instantiating them with a number of Isabelle data types. This theory development is based on our recent paper, which shows how lenses can be used to unify heterogeneous representations of state-spaces in formalised programs.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017,The Author(s). This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Pure (York) |
Date Deposited: | 05 Jun 2017 16:00 |
Last Modified: | 11 Feb 2024 00:27 |
Status: | Published |
Refereed: | Yes |
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