NDLI: The Key monad: type-safe unconstrained dynamic typing

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The Key monad: type-safe unconstrained dynamic typing

Content Provider	ACM Digital Library
Author	Ploeg, Atze van der Claessen, Koen Buiras, Pablo
Abstract	We present a small extension to Haskell called the Key monad. With the Key monad, unique keys of different types can be created and can be tested for equality. When two keys are equal, we also obtain a concrete proof that their types are equal. This gives us a form of dynamic typing, without the need for Typeable constraints. We show that our extension allows us to safely do things we could not otherwise do: it allows us to implement the ST monad (inefficiently), to implement an embedded form of arrow notation, and to translate parametric HOAS to typed de Bruijn indices, among others. Although strongly related to the ST monad, the Key monad is simpler and might be easier to prove safe. We do not provide such a proof of the safety of the Key monad, but we note that, surprisingly, a full proof of the safety of the ST monad also remains elusive to this day. Hence, another reason for studying the Key monad is that a safety proof for it might be a stepping stone towards a safety proof of the ST monad. .
Starting Page	146
Ending Page	157
Page Count	12
File Format	PDF
ISBN	9781450344340
DOI	10.1145/2976002.2976008
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2016-09-08
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	St monad Higher-order state Haskell Functional programming Arrow notation Parametric hoas
Content Type	Text
Resource Type	Article

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