Lifting Definition Option

Title:	Lifting Definition Option
Author:	René Thiemann (rene /dot/ thiemann /at/ uibk /dot/ ac /dot/ at)
Submission date:	2014-10-13
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.
BibTeX:	@article{Lifting_Definition_Option-AFP, author = {René Thiemann}, title = {Lifting Definition Option}, journal = {Archive of Formal Proofs}, month = oct, year = 2014, note = {\url{https://isa-afp.org/entries/Lifting_Definition_Option.html}, Formal proof development}, ISSN = {2150-914x}, }
License:	GNU Lesser General Public License (LGPL)
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.