Title: Optics
Authors: Simon Foster (simon /dot/ foster /at/ york /dot/ ac /dot/ uk) and Frank Zeyda (frank /dot/ zeyda /at/ york /dot/ ac /dot/ uk)
Submission date: 2017-05-25
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.
  author  = {Simon Foster and Frank Zeyda},
  title   = {Optics},
  journal = {Archive of Formal Proofs},
  month   = may,
  year    = 2017,
  note    = {\url{http://isa-afp.org/entries/Optics.html},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.