Abstract

This entry provides several monads intended for the development of stand-alone certifiers via code generation from Isabelle/HOL. More specifically, there are three flavors of error monads (the sum type, for the case where all monadic functions are total; an instance of the former, the so called check monad, yielding either success without any further information or an error message; as well as a variant of the sum type that accommodates partial functions by providing an explicit bottom element) and a parser monad built on top. All of this monads are heavily used in the IsaFoR/CeTA project which thus provides many examples of their usage.

BibTeX

@article{CSRT-AFP14b,
  author  = {Christian Sternagel and René Thiemann},
  title   = {Certification Monads},
  journal = "Archive of Formal Proofs",
  month   = oct,
  year    = 2014,
  note    = {\url{https://www.isa-afp.org/entries/Certification_Monads.html},
            Formal proof development},
  ISSN    = {2150-914x},
}