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Lifting Definition Option

René Thiemann

The Archive of Formal Proofs, 2014.

Abstract

We implemented a command that can be used to easily generate elements of a restricted type {x :: ‘a. P x}, provided the definition is of the form f ys = (if check ys then Some(generate ys :: ‘a) else None) where ys is a list of variables y1 ... yn and check ys ==> P(generate ys) can be proved.

In principle, such a definition is also directly possible using the lift_definition command. However, then this definition will not be suitable for code-generation. To this end, we automated a more complex construction of Joachim Breitner which is amenable for code-generation, and where the test check ys will only be performed once. In the automation, one auxiliary type is created, and Isabelle’s lifting- and transfer-package is invoked several times.

 

   AFP entry

BibTeX 

@article{RT-AFP14c, 
author = {René Thiemann},
title = {Lifting Definition Option},
journal = "Archive of Formal Proofs",
month = oct,
year = 2014,
note = {\url{http://afp.sf.net/entries/Lifting_Definition_Option.shtml},
Formal proof development},
ISSN = {2150-914x},
}
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