From 6a9642c043e9e41aaed48449151884ad6dcb7050 Mon Sep 17 00:00:00 2001 From: Ralf Jung <jung@mpi-sws.org> Date: Sun, 6 Mar 2016 20:36:57 +0100 Subject: [PATCH] docs: improve structure --- docs/logic.tex | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/docs/logic.tex b/docs/logic.tex index 396d3ffc8..7aa98133a 100644 --- a/docs/logic.tex +++ b/docs/logic.tex @@ -74,8 +74,6 @@ Furthermore, $\SigAx$ is a set of \emph{axioms}, that is, terms $\term$ of type Again, the grammar of terms and their typing rules are defined below, and depends only on $\SigType$ and $\SigFn$, not on $\SigAx$. Elements of $\SigAx$ are ranged over by $\sigax$. -\section{Syntax} - \subsection{Grammar}\label{sec:grammar} \paragraph{Syntax.} @@ -276,7 +274,7 @@ In writing $\vctx, x:\type$, we presuppose that $x$ is not already declared in $ } \end{mathparpagebreakable} -\subsection{Timeless Propositions} +\subsection{Timeless propositions} Some propositions are \emph{timeless}, which intuitively means that step-indexing does not affect them. This is a \emph{meta-level} assertions about propositions, defined by the following judgment. @@ -285,7 +283,7 @@ This is a \emph{meta-level} assertions about propositions, defined by the follow \ralf{Define a judgment that defines them.} -\subsection{Base logic} +\subsection{Proof rules} \ralf{Go on checking below.} The judgment $\vctx \mid \pfctx \proves \prop$ says that with free variables $\vctx$, proposition $\prop$ holds whenever all assumptions $\pfctx$ hold. -- GitLab