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\title{Tycon: Type Constructor Classes \\ and Monad Transformers} \author{Brian Huffman} \maketitle
\begin{abstract}
These theories contain a formalization of first class type constructors and axiomatic constructor classes for HOLCF. This work is described in detail in the ICFP 2012 paper ``Formal Verification of Monad Transformers'' by the author\cite{huffman2012}. The formalization is a revised and updated version of earlier joint work with Matthews and White \cite{HMW05}.
Based on the hierarchy of type classes in Haskell, we define classes for functors, monads, monad-plus, etc. Each one includes all the standard laws as axioms. We also provide a new user command, \emph{tycondef}, for defining new type constructors in HOLCF. Using \emph{tycondef}, we instantiate the type class hierarchy with various monads and monad transformers.
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