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56
thesis.tex
56
thesis.tex
@@ -1899,6 +1899,7 @@ getting stuck on an unhandled operation.
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\dhil{Reader}
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\dhil{State}
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\dhil{Nondeterminism}
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\dhil{Inversion of control: generator from iterator}
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\section{Parameterised handlers}
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\label{sec:unary-parameterised-handlers}
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@@ -2941,25 +2942,48 @@ If $M \reducesto N$ then $\pcps{M} \reducesto^+ \areducesto^* \pcps{N}$.
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\section{Related work}
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\label{sec:cps-related-work}
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\subsection{Plotkin's colon translation}
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\paragraph{Plotkin's colon translation}
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\citeauthor{Plotkin75}'s original CPS translation yielded static
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administrative redexes. Clearly this translation is undesirable from
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a practical point of view as it generates an additional and completely
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artefactual overhead. From a theoretical point of view such a CPS
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translation is also undesirable as the presence of administrative
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redexes makes proof of correctness considerably more involved.
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%
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\citeauthor{Plotkin75}'s simulation theorem shows a correspondence
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between reductions in a given source program and its transformed
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program. To establish this correspondence in the presence of
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administrative redexes, \citeauthor{Plotkin75} introduced the
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so-called ``colon''-translation\dots
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% The presence of static administrative redexes in the image of a CPS
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% translation provides hurdles for establishing the correctness of the
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% translation in terms of a simulation result, which says that every
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% reduction sequence in a given source program is mimicked by the
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% transformed program.
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% %
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% \citet{Plotkin75} introduced the so-called \emph{colon translation} to
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% overcome static administrative reductions. The colon translation is
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% itself a CPS translation which yields
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% between the sourceTo prove the correctness of his CPS translation, \citet{Plotkin75}
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% made use of a so-called ``colon''-translation to bypass administrative reductions
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\subsection{Iterated CPS translations}
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% In his seminal work, \citet{Plotkin75} devises CPS translations for
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% call-by-value lambda calculus into call-by-name lambda calculus and
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% vice versa. \citeauthor{Plotkin75} establishes the correctness of his
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% translations by way of simulations, which is to say that every
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% reduction sequence in a given source program is mimicked by the
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% transformed program.
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% %
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% His translations generate static administrative redexes, and as argued
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% previously in this chapter from a practical view point this is an
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% undesirable property in practice. However, it is also an undesirable
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% property from a theoretical view point as the presence of
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% administrative redexes interferes with the simulation proofs.
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% To handle the static administrative redexes, \citeauthor{Plotkin75}
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% introduced the so-called \emph{colon translation} to bypass static
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% administrative reductions, thus providing a means for focusing on
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% reductions induced by abstractions inherited from the source program.
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% %
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% The colon translation is itself a CPS translation, that given a source
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% expression, $e$, and some continuation, $K$, produces a CPS term such
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% that $\cps{e}K \reducesto e : K$.
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% \citet{DanvyN03} used this insight to devise a one-pass CPS
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% translation that contracts all administrative redexes at translation
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% time.
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\paragraph{Iterated CPS transform}
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\paragraph{Partial evaluation}
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\chapter{Abstract machine semantics}
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