syntaxAlchemist/ladder-calculus
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

paper: add appendix with coq listings

Browse source
This commit is contained in:
Michael Sippel 2024-08-07 15:59:03 +02:00
parent c7794d8a89
commit f135a5ed43
Signed by: senvas
GPG key ID: F96CF119C34B64A6
4 changed files with 58 additions and 5 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

6
coq/equiv.v
View file

@ -37,7 +37,7 @@ Include Terms.
Module Equiv.
(** Define all rewrite steps *)
(** Define all rewrite steps $\label{coq:type-dist}$ *)
Reserved Notation "S '-->distribute-ladder' T" (at level 40).
Inductive type_distribute_ladder : type_term -> type_term -> Prop :=
@ -111,7 +111,7 @@ Proof.
Qed.
(** Define the equivalence relation as reflexive, transitive hull. *)
(** Define the equivalence relation as reflexive, transitive hull. $\label{coq:type-equiv}$ *)
Reserved Notation " S '===' T " (at level 40).
Inductive type_eq : type_term -> type_term -> Prop :=
@ -163,7 +163,7 @@ Proof.
apply IHtype_eq1.
Qed.
(** "flat" types do not contain ladders *)
(** "flat" types do not contain ladders $\label{coq:type-flat}$ *)
Inductive type_is_flat : type_term -> Prop :=
| FlatUnit : (type_is_flat type_unit)
| FlatVar : forall x, (type_is_flat (type_var x))

3
coq/subst.v
View file

@ -4,8 +4,7 @@ Require Import terms.
Include Terms.
Module Subst.
(* scoped variable substitution in type terms *)
(* scoped variable substitution in type terms $\label{coq:subst-type}$ *)
Fixpoint type_subst (v:string) (n:type_term) (t0:type_term) :=
match t0 with
| type_var name => if (eqb v name) then n else t0

30
paper/appendix.tex Normal file
View file

@ -0,0 +1,30 @@
\onecolumn
\appendix
\section{Coq Listings}
This document lists the Coq-Sourcecode from commit
\input{|"git log -n 1 --oneline | cut -d' ' -f1"}.
\subsection{terms.v}
\label{coq:terms}
\inputminted[fontsize=\footnotesize, linenos, mathescape]{coq}{../coq/terms.v}
\subsection{subst.v}
\label{coq:subst}
\inputminted[fontsize=\footnotesize, linenos, mathescape]{coq}{../coq/subst.v}
\subsection{equiv.v}
\label{coq:equiv}
\inputminted[fontsize=\footnotesize, linenos, mathescape]{coq}{../coq/equiv.v}
\subsection{typing.v}
\label{coq:typing}
\inputminted[fontsize=\footnotesize, linenos, mathescape]{coq}{../coq/typing.v}
\subsection{smallstep.v}
\label{coq:smallstep}
\inputminted[fontsize=\footnotesize, linenos, mathescape]{coq}{../coq/smallstep.v}

24
paper/main.tex
View file

@ -4,7 +4,23 @@
\usepackage{formal-grammar}
\usepackage[dvipsnames]{xcolor}
\usepackage{mathpartir}
\usepackage{hyperref}
\usepackage{url}
\usepackage{minted}
\usemintedstyle{tango}
\DeclareUnicodeCharacter{2200}{$\forall$}
\DeclareUnicodeCharacter{03C3}{$\sigma$}
\DeclareUnicodeCharacter{03C4}{$\tau$}
\DeclareUnicodeCharacter{03BB}{$\lambda$}
\DeclareUnicodeCharacter{21A6}{$\mapsto$}
\DeclareUnicodeCharacter{039B}{$\Lambda$}
\DeclareUnicodeCharacter{03B1}{$\alpha$}
\DeclareUnicodeCharacter{03B2}{$\beta$}
\DeclareUnicodeCharacter{03B3}{$\gamma$}
\DeclareUnicodeCharacter{03B4}{$\delta$}
\DeclareUnicodeCharacter{0393}{$\Gamma$}
\newcommand{\metavariable}[1]{\textcolor{teal}{#1}}
\newcommand{\typeterminal}[1]{\textcolor{brown}{#1}}
@ -296,10 +312,16 @@ in an expression \(
\begin{definition}[Distributivity]
\todo{}
See \hyperref[coq:type-dist]{equiv.v:\ref{coq:type-dist}}.
\end{definition}
\begin{definition}[Equivalence Relation]
\todo{}
See \hyperref[coq:type-equiv]{equiv.v:\ref{coq:type-equiv}}.
\end{definition}
\subsubsection{Normal Forms}
@ -717,5 +739,7 @@ pairs
\subsection{Algebraic Datatypes}
\todo{}
\input{appendix}
\end{document}