strategy: wip

[topbloke-formulae.git] / strategy.tex

diff --git a/strategy.tex b/strategy.tex
index d170919d3c160e4d1842d324b61a1fba79a8bfa4..0fa1ff19c5ddd13848dd52a1625087d00de93154 100644 (file)
--- a/strategy.tex
+++ b/strategy.tex
@@ -105,9 +105,12 @@ as its maximum, so this operation will finish by updating
 $\greffa{\patchof{L}}$.
 
 After we are done, the result has the following properties:
-\[ \eqn{Best Tip}{
+\[ \eqn{Tip Inputs}{
   \bigforall_{E_i \in \set E_{\pc}} \greffc \ge E_i
 }\]
+\[ \eqn{Tip Dependencies}{
+  \bigforall_{\pc \hasdep \p} \greffc \ge \greffa \p
+}\]
 \[ \eqn{Perfect Contents}{
   \greffc \haspatch \p \equiv \pc \hasdep \py
 }\]
@@ -140,8 +143,14 @@ worry about $X = R, Y = L$; ie $L \haspatch \p$,
 $M = \baseof{L} \haspatch \p$.
 By Tip Contents for $L$, $D \le L \equiv D \le M$.  $\qed$
 
-OK
-UP TO HERE
+WIP UP TO HERE
+
+Addition Merge Ends: If $\py \isdep \pcn$, we have already
+done the execution phase for $\pcn$ and $\py$.  By
+Perfect Contents for $\pcn$, $\greffa \pcn \haspatch \p$.
+
+computed $\greffa \py$, and by Perfect Contents for $\py$
+
 
 with $M=M_j, L=T_{\pc,j-1}, R=E_j$,
 and calculate what the resulting desired direct dependencies file