Some notes on control operators and resumptions.

5 years ago · 5e7ce98c0e
2 changed files with 138 additions and 22 deletions
--- a/thesis.bib
+++ b/thesis.bib
@ -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},
@ -1559,4 +1568,81 @@
  title     = {Purely functional data structures},
  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}
 }
--- a/thesis.tex
+++ b/thesis.tex
@ -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}