Certification Monads

Christian Sternagel and René Thiemann

The Archive of Formal Proofs, 2014.


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.


   AFP entry


author = {Christian Sternagel and René Thiemann},
title = {Certification Monads},
journal = "Archive of Formal Proofs",
month = oct,
year = 2014,
note = {\url{}, Formal proof development},
ISSN = {2150-914x},
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