From: Ian Jackson <ijackson@chiark.greenend.org.uk>
Date: Sat, 7 Jul 2012 23:27:00 +0000 (+0100)
Subject: traversal: Base/Tip Correct Contents chane notation
X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=topbloke-formulae.git;a=commitdiff_plain;h=0ef6782afa245b0744d82dc7ff2d5a34a1fe2dc1;ds=sidebyside

traversal: Base/Tip Correct Contents chane notation
---

diff --git a/trav-alg.tex b/trav-alg.tex
index 210b20b..df5e4cd 100644
--- a/trav-alg.tex
+++ b/trav-alg.tex
@@ -30,9 +30,9 @@ such that:
   \baseof{\tipcy} = \tipcn
 }
 \statement{Base Correct Contents}{
-  \tipcn \haspatch \pd
+  \tipcn \haspatch \pa E
    \equiv
-  \pd \isdep \pc
+  \pa E \isdep \pc
 }
 \statement{Tip Exceeds Inputs}{
   \tipcy \ge \pendsof{\allsrcs}{\pcy}
diff --git a/trav-proofs.tex b/trav-proofs.tex
index 876525d..f1993d3 100644
--- a/trav-proofs.tex
+++ b/trav-proofs.tex
@@ -9,13 +9,13 @@ WIP WHAT ABOUT PROVING ALL THE TRAVERSAL RESULTS
 
 Firstly, some lemmas.
 \statement{Tip Correct Contents}{
-  \tipcy \haspatch \pd
+  \tipcy \haspatch \pa E
     \equiv
-  \pd = \pc \lor \pd \isdep \pc
+  \pa E = \pc \lor \pa E \isdep \pc
 }
 \proof{
-  For $\pc = \pd$, Tip Own Contents suffices.
-  For $\pc \neq \pd$, Exclusive Tip Contents
+  For $\pc = \pa E$, Tip Own Contents suffices.
+  For $\pc \neq \pa E$, Exclusive Tip Contents
   gives $D \isin \tipcy \equiv D \isin \baseof{\tipcy}$
   which by Correct Base $\equiv D \isin \tipcn$.
 }