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%% Information about the title, etc.
% \title{Higher-Order Theories of Handlers for Algebraic Effects}
% \title{Handlers for Algebraic Effects: Applications, Compilation, and Expressiveness}
% \title{Applications, Compilation, and Expressiveness for Effect Handlers}
% \title{Handling Computational Effects}
% \title{Programming Computable Effectful Functions}
% \title{Handling Effectful Computations}
\title{Foundations for Programming and Implementing Effect Handlers}
\author{Daniel Hillerström}

%% If the year of submission is not the current year, uncomment this line and
%% specify it here:
\submityear{2020}

%% Specify the abstract here.
\abstract{%
  An abstract\dots
}

%% Now we start with the actual document.
\begin{document}
\raggedbottom
%% First, the preliminary pages
\begin{preliminary}

%% This creates the title page
\maketitle

%% Acknowledgements
\begin{acknowledgements}
  List of people to thank
  \begin{itemize}
    \item Sam Lindley
    \item John Longley
    \item Christophe Dubach
    \item KC Sivaramakrishnan
    \item Stephen Dolan
    \item Anil Madhavapeddy
    \item Gemma Gordon
    \item Leo White
    \item Andreas Rossberg
    \item Robert Atkey
    \item Jeremy Yallop
    \item Simon Fowler
    \item Craig McLaughlin
    \item Garrett Morris
    \item James McKinna
    \item Brian Campbell
    \item Paul Piho
    \item Amna Shahab
    \item Gordon Plotkin
    \item Ohad Kammar
    \item School of Informatics (funding)
    \item Google (Kevin Millikin, Dmitry Stefantsov)
    \item Microsoft Research (Daan Leijen)
  \end{itemize}
\end{acknowledgements}

%% Next we need to have the declaration.
% \standarddeclaration
\begin{declaration}
  I declare that this thesis was composed by myself, that the work
  contained herein is my own except where explicitly stated otherwise
  in the text, and that this work has not been submitted for any other
  degree or professional qualification except as specified.
\end{declaration}

%% Finally, a dedication (this is optional -- uncomment the following line if
%% you want one).
% \dedication{To my mummy.}
\dedication{\emph{To be or to do}}

% \begin{preface}
% A preface will possibly appear here\dots
% \end{preface}

%% Create the table of contents
\setcounter{secnumdepth}{2} % Numbering on sections and subsections
\setcounter{tocdepth}{1} % Show chapters, sections and subsections in TOC
%\singlespace
\tableofcontents
%\doublespace

%% If you want a list of figures or tables, uncomment the appropriate line(s)
% \listoffigures
% \listoftables
\end{preliminary}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%          Main content         %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%
%% Introduction
%%
\chapter{Introduction}
\label{ch:introduction}
An enthralling introduction\dots
%
Motivation: 1) compiler perspective: unifying control abstraction,
lean runtime, desugaring of async/await, generators/iterators, 2)
giving control to programmers, safer microkernels, everything as a
library.

\section{Thesis outline}
Thesis outline\dots

\section{Typographical conventions}
Explain conventions\dots

\part{Background}
\label{p:background}

\chapter{The State of Effectful Programming}
\label{ch:related-work}

\section{Type and Effect Systems}
\section{Monadic Programming}

\chapter{Continuations}
\label{ch:continuations}

\section{Zoo of Control Operators}
Describe how effect handlers fit amongst shift/reset, prompt/control,
callcc, J, catchcont, etc.

\section{Implementation Strategies}


\part{Design}

\chapter{A ML-like Base Language}
\section{Syntax and Static Semantics}
\section{Type Inference}
\section{Dynamic Semantics}

\chapter{Unary Handlers}
\label{ch:deep-handlers}

\section{Deep Handlers}
\subsection{Syntax and Static Semantics}
\subsection{Effect inference}
\subsection{Dynamic Semantics}

\section{Parameterised Handlers}

\section{Shallow Handlers}
\label{ch:shallow-handlers}

\subsection{Syntax and Static Semantics}
\subsection{Dynamic Semantics}

\chapter{N-ary Handlers}
\label{ch:multi-handlers}

% \section{Syntax and Static Semantics}
% \section{Dynamic Semantics}
\section{Unifying Deep and Shallow Handlers}

\part{Implementation}

\chapter{Continuation Passing Styles}
\chapter{Abstract Machine Semantics}

\part{Expressiveness}
\chapter{Computability, Complexity, and Expressivness}
\label{ch:expressiveness}
\section{Notions of Expressiveness}
Felleisen's macro-expressiveness, Longley's type-respecting
expressiveness, Kammar's typability-preserving expressiveness.

\section{Interdefinability of Deep and Shallow Handlers}
\section{Encoding Parameterised Handlers}

\chapter{The Asymptotic Power of Control}
\label{ch:handlers-efficiency}
Describe the methodology\dots
\section{Generic Search}
\section{Calculi}
\subsection{Base calculus}
\subsection{Handler calculus}
\section{A Practical Model of Computation}
\subsection{Syntax}
\subsection{Semantics}
\subsection{Realisability}
\section{Points, Predicates, and their Models}
\section{Efficient Generic Search with Effect Handlers}
\subsection{Space complexity}
\section{Best-case Complexity of Generic Search without Control}
\subsection{No shortcuts}
\subsection{No sharing}

\chapter{Robustness of the Asymptotic Power of Control}
\section{Mutable State}
\section{Exception Handling}
\section{Effect System}

\part{Conclusions}

\chapter{Conclusions}
\label{ch:conclusions}
Some profound conclusions\dots

\chapter{Future Work}
\label{ch:future-work}

%%
%% Appendices
%%
% \appendix

%% If you want the bibliography single-spaced (which is allowed), uncomment
%% the next line.
%\nocite{*}
\singlespace
\nocite{*}
%\printbibliography[heading=bibintoc]
\bibliographystyle{unsrt}
\bibliography{\jobname}

%% ... that's all, folks!
\end{document}
