Add planning report

proposal/macros.tex

@@ -6,8 +6,8 @@
 \newcommand{\bN}{\mathbb{N}}
 \newcommand{\bC}{\mathbb{C}}
 \newcommand{\bX}{\mathbb{X}}
-\newcommand{\to}{\rightarrow}}
-\newcommand{\mto}{\mapsto}}
+\newcommand{\to}{\rightarrow}
+\newcommand{\mto}{\mapsto}
 \newcommand{\UU}{\ensuremath{\mathcal{U}}\xspace}
 \let\type\UU
 \newcommand{\nomen}[1]{\emph{#1}}

proposal/planning.tex

@@ -0,0 +1,72 @@
+\section{Planning report}
+%
+I have already implemented multiple essential building blocks for a
+formalization of core-category theory. These concepts include:
+%
+\begin{itemize}
+\item
+Categories
+\item
+Functors
+\item
+Products
+\item
+Exponentials
+\item
+Natural transformations
+\item
+Concrete Categories
+\subitem
+Sets
+\subitem
+Cat
+\subitem
+Functor
+\end{itemize}
+%
+Will all these things already in place it's my assessment that I am ahead of
+schedule at this point.\footnote{I have omitted a lot of other things that
+  follow easily from the above, e.g. a cartesian-closed category is simply one
+  that has all products and exponentials.}
+
+Here is a plan for my thesis work organized on a week-by-week basis.
+%
+\begin{center}
+\centering
+\begin{tabular}{@{}lll@{}}
+Goal                           & Deadline    & Risk  1-5        \\ \hline
+Yoneda embedding               & Feb 2nd     & 3  \\
+Categories with families       & Feb 9th     & 4  \\
+Presheafs $\Rightarrow$ CwF's  & Feb 16th    & 2  \\
+Cubical Category               & Feb 23rd    & 3  \\
+Writing seminar                & Mar 2nd     &    \\
+Kan condition                  & Mar 9th     & 4  \\
+Thesis outline and backlog     & Mar 16th    & 2  \\
+Half-time report               & Mar 23rd    & 2  \\
+                               & Mar 30th    &    \\
+                               & Apr 6th     &    \\
+                               & Apr 13th    &    \\
+                               & Apr  20th   &    \\
+Thesis draft                   & Apr 27th    & 2  \\
+Writing seminar 2              & May 4th     &    \\
+Presentation                   & May 11th    &    \\
+Attend 1st presentation        & May 18th    &    \\
+Attend 2nd presentation        & May 25th    &    \\
+\end{tabular}
+\end{center}
+%
+The first half part of my thesis-work will be focused on implementing core
+elements of my Agda implementation. These core elements have been highlighted in
+the above table. The elements noted there are the essential bits and pieces I
+need to reach the ambitious goal of getting an implementation of a categorical
+model for Cubical Type Theory. Along the way I will also have formalized
+additional elements of more ``pure'' category theory. I will thus reach my goal
+of formalizing (parts of) category theory.
+
+The high risk-factors for CwF's and the Kan-condition is due to this being
+somewhat uncharted territory for me at this point.
+
+It's my plan that I will have formalized the core concepts needed around the
+deadline for the half-time report which is due by March 23rd. Around this point
+I will have a clearer idea of what additional things I need for a model of
+category theory.

proposal/proposal.tex

@@ -12,6 +12,7 @@
 \usepackage{parskip}
 \usepackage{multicol}
 \usepackage{amsmath,amssymb}
+\usepackage[toc,page]{appendix}
 % \setlength{\parskip}{10pt}
 
 % \usepackage{tikz}
@@ -279,4 +280,7 @@ The thesis shall conclude with a discussion about the benefits of Cubical Agda.
 \nocite{cubical-demo}
 \nocite{coquand-2013}
 \bibliography{refs}
+\begin{appendices}
+\input{planning.tex}
+\end{appendices}
 \end{document}