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mirror of https://github.com/dhil/phd-dissertation synced 2026-03-13 11:08:25 +00:00
This commit is contained in:
2021-05-20 11:04:54 +01:00
parent 76d9c00e19
commit d1a91fb197
2 changed files with 12 additions and 10 deletions

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@@ -356,6 +356,7 @@
\newcommand{\return}{\dec{Return}}
\newcommand{\faild}{\dec{withDefault}}
\newcommand{\Free}{\dec{Free}}
\newcommand{\FreeState}{\dec{FreeState}}
\newcommand{\OpF}{\dec{Op}}
\newcommand{\DoF}{\dec{do}}
\newcommand{\getF}{\dec{get}}

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@@ -1254,16 +1254,17 @@ operations using the state-passing technique.
\el
\]
%
The interpreter pattern matches on the shape of the monad (or
equivalently computation tree). In the case of a $\Return$ node the
interpreter returns the payload $x$ along with the final state value
$st$. If the current node is a $\Get$ operation, then the interpreter
recursively calls itself with the same state value $st$ and a thunked
application of the continuation $k$ to the current state $st$. The
recursive activation of $\runState$ will force the thunk in order to
compute the next computation tree node. In the case of a $\Put$
operation the interpreter calls itself recursively with new state
value $st'$ and the continuation $k$ (which is a thunk).
The interpreter implements a \emph{fold} over the computation tree by
pattern matching on the shape of the tree (or equivalently monad). In
the case of a $\Return$ node the interpreter returns the payload $x$
along with the final state value $st$. If the current node is a $\Get$
operation, then the interpreter recursively calls itself with the same
state value $st$ and a thunked application of the continuation $k$ to
the current state $st$. The recursive activation of $\runState$ will
force the thunk in order to compute the next computation tree node.
In the case of a $\Put$ operation the interpreter calls itself
recursively with new state value $st'$ and the continuation $k$ (which
is a thunk).
%
By instantiating $S = \Int$ we can use this interpreter to run