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Some notes on control operators and resumptions.

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Daniel Hillerström 5 years ago
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  1. 102
      thesis.bib
  2. 58
      thesis.tex

102
thesis.bib
View File

@ -3,7 +3,7 @@
author = {Daniel Hillerström},
title = {Handlers for Algebraic Effects in {Links}},
school = {School of Informatics, The University of Edinburgh},
address = {Scotland},
address = {Scotland, {UK}},
month = aug,
year = 2015
}
@ -13,9 +13,10 @@
author = {Daniel Hillerström},
title = {Compilation of Effect Handlers and their Applications in Concurrency},
school = {School of Informatics, The University of Edinburgh},
address = {Scotland},
address = {Scotland, {UK}},
optmonth = aug,
year = 2016,
type = {{MSc(R)} Dissertation}
}
# OCaml handlers
@ -97,7 +98,7 @@
@phdthesis{Pretnar10,
author = {Matija Pretnar},
title = {Logic and handling of algebraic effects},
school = {The University of Edinburgh, {UK}},
school = {The University of Edinburgh, Scotland, {UK}},
year = {2010}
}
@ -239,28 +240,28 @@
@phdthesis{McLaughlin20,
author = {Craig McLaughlin},
title = {Relational Reasoning for Effects and Handlers},
school = {The University of Edinburgh, {UK}},
school = {The University of Edinburgh, Scotland, {UK}},
year = {2020}
}
@phdthesis{Ahman17,
author = {Danel Ahman},
title = {Fibred Computational Effects},
school = {The University of Edinburgh, {UK}},
school = {The University of Edinburgh, Scotland, {UK}},
year = {2017}
}
@phdthesis{Fowler19,
author = {Simon Fowler},
title = {Typed concurrent functional programming with channels, actors and sessions},
school = {The University of Edinburgh, {UK}},
school = {The University of Edinburgh, Scotland, {UK}},
year = {2019}
}
@phdthesis{Kammar14,
author = {Ohad Kammar},
title = {Algebraic theory of type-and-effect systems},
school = {The University of Edinburgh, {UK}},
school = {The University of Edinburgh, Scotland, {UK}},
year = {2014}
}
@ -320,7 +321,7 @@
author = {Leo Poulson},
title = {Asynchronous Effect Handling},
school = {School of Informatics, The University of Edinburgh},
address = {Scotland},
address = {Scotland, {UK}},
year = 2020,
}
@ -457,6 +458,14 @@
year = {2017}
}
@MastersThesis{Convent17,
author = {Lukas Convent},
title = {Enhancing a Modular Effectful Programming Language},
school = {School of Informatics, The University of Edinburgh},
address = {Scotland, {UK}},
year = 2017,
}
# Shonky
@misc{McBride16,
title={Shonky},
@ -1560,3 +1569,80 @@
publisher = {Cambridge University Press},
year = {1999}
}
# Interleaved computation
@inproceedings{Milner75,
author = {Robin Milner},
title = {Processes: A Mathematical Model of Computing Agents},
booktitle = {Studies in Logic and the Foundations of Mathematics},
publisher = {Elsevier},
pages = {157--173},
year = {1975}
}
@article{Plotkin76,
author = {Gordon D. Plotkin},
title = {A Powerdomain Construction},
journal = {{SIAM} J. Comput.},
volume = {5},
number = {3},
pages = {452--487},
year = {1976}
}
@inproceedings{HaynesF84,
author = {Christopher T. Haynes and
Daniel P. Friedman},
title = {Engines Build Process Abstractions},
booktitle = {{LISP} and Functional Programming},
pages = {18--24},
publisher = {{ACM}},
year = {1984}
}
@techreport{Moggi90,
title = {An Abstract View of Programming Languages},
author = {Eugenio Moggi},
institution = {{LFCS}, The University of Edinburgh},
number = {ECS-LFCS-90-113},
year = {1990},
address = {Scotland, {UK}}
}
@inproceedings{GanzFW99,
author = {Steven E. Ganz and
Daniel P. Friedman and
Mitchell Wand},
title = {Trampolined Style},
booktitle = {{ICFP}},
pages = {18--27},
publisher = {{ACM}},
year = {1999}
}
@inproceedings{Papaspyrou01,
author = {Nikolaos S. Papspyrou},
title = {A resumption monad transformer and its applications in the semantics of concurrency},
booktitle = {Proceedings of the 3rd Panhellenic Logic Symposium},
address = {Anogia, Greece}
}
@inproceedings{Harrison06,
author = {William L. Harrison},
title = {The Essence of Multitasking},
booktitle = {{AMAST}},
series = {Lecture Notes in Computer Science},
volume = {4019},
pages = {158--172},
publisher = {Springer},
year = {2006}
}
@article{AtkeyJ15,
author = {Robert Atkey and
Patricia Johann},
title = {Interleaving data and effects},
journal = {J. Funct. Program.},
volume = {25},
year = {2015}
}

58
thesis.tex
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@ -500,7 +500,7 @@ handlers.
Moggi's work gives a precise characterisation of what's \emph{not}
an effect}
\chapter{Control operators}
\chapter{Controlling continuations}
\label{ch:continuations}
Undelimited control: Landin's J~\cite{Landin98}, Reynolds'
@ -522,7 +522,24 @@ F~\cite{FelleisenFDM87,Felleisen88}, control/prompt~\cite{SitaramF90},
shift/reset~\cite{DanvyF89,DanvyF90}, fcontrol~\cite{Sitaram93},
catchcont~\cite{LongleyW08}, effect handlers~\cite{PlotkinP09}.
Continuation marks?
\section{Notions of continuations}
Escape continuations, undelimited continuations, delimited
continuations, composable continuations.
\section{First-Class control operators}
Describe how effect handlers fit amongst shift/reset, prompt/control,
callcc, J, catchcont, etc.
\subsection{Escape operators}
\subsection{Undelimited operators}
\subsection{Delimited operators}
\section{Second-Class control operators}
Coroutines, async/await, generators/iterators, amb.
Backtracking: Amb~\cite{McCarthy63}.
@ -531,12 +548,8 @@ Coroutines~\cite{DahlDH72} as introduced by Simula
Conway, who used coroutines as a code idiom in assembly
programs~\cite{Knuth97}.
\section{Zoo of control operators}
Describe how effect handlers fit amongst shift/reset, prompt/control,
callcc, J, catchcont, etc.
\section{Ad-hoc implementation strategies}
\section{Implementation strategies}
Continuation marks. CPS. Stack inspection.
\part{Design}
@ -1979,12 +1992,12 @@ without the recursion operator. We elect to do so to understand
exactly which primitive effects deep handlers bring into our resulting
calculus.
%
Deep handlers are defined as folds (catamorphisms) over computation
trees, meaning they provide a uniform semantics to the handled
operations of a given computation. In contrast, shallow handlers are
defined as case-splits over computation trees, and thus, allow a
nonuniform semantics to be given to operations. We will discuss this
last point in greater detail in
Deep handlers~\cite{PlotkinP09,Pretnar10} are defined as folds
(catamorphisms) over computation trees, meaning they provide a uniform
semantics to the handled operations of a given computation. In
contrast, shallow handlers are defined as case-splits over computation
trees, and thus, allow a nonuniform semantics to be given to
operations. We will discuss this last point in greater detail in
Section~\ref{sec:unary-shallow-handlers}.
@ -2905,6 +2918,8 @@ process may perform.
\ea
\]
%
\dhil{Cite resumption monad}
%
The $\Done$-tag simply carries the return value of type $\alpha$. The
$\Suspended$-tag carries a suspended computation, which returns
another instance of $\Pstate$, and may or may not perform any further
@ -3365,6 +3380,8 @@ with files.
\item The \emph{data region} contains the actual file contents.
\end{enumerate}
%
\dhil{Motivate i-nodes, etc. Real UNIX file system use those structures. Admit simplification: no file handles; no resource leakage}
%
Figure~\ref{fig:unix-mappings} depicts an example with the three
structures and a mapping between them.
%
@ -4489,6 +4506,19 @@ into the return case body $N$ for their respective binders.
% \section{Dynamic Semantics}
% \section{Unifying deep and shallow handlers}
\section{Related work}
\label{sec:unix-related-work}
\subsection{Interleaving computation}
\paragraph{The resumption monad} \citet{Milner75},
\citet{Plotkin76}, \citet{Moggi90}, \citet{Papaspyrou01}, \citet{Harrison06}, \citet{AtkeyJ15}
\paragraph{Continuation-based interleaving} \citet{HaynesF84} \citet{GanzFW99}
\subsection{Effect-driven concurrency}
\citet{BauerP15}, \citet{DolanWSYM15}, \citet{Hillerstrom16}, \citet{DolanEHMSW17}, \citet{Convent17}, \citet{Poulson20}
\part{Implementation}
\chapter{Continuation-passing style}

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