strategy: new, wip

[topbloke-formulae.git] / strategy.tex

diff --git a/strategy.tex b/strategy.tex
index 7b977e5870ea2a34256850fee8ab34eee2c2f54e..6fb4b4f9d2b72837ccfc8b602c7696cb93c74fd6 100644 (file)
--- a/strategy.tex
+++ b/strategy.tex
@@ -86,13 +86,13 @@ dependencies to use.  This allows the specification of any desired
 
 \section{Ranking phase}
 
-{\bf Ranking} is:
+We run the following algorithm:
 \begin{enumerate}
 \item Set $\allpatches = \{ \}$.
 \item Repeatedly:
 \begin{enumerate}
 \item Clear out the graph $\hasdirdep$ so it has neither nodes nor edges.
-\item Execute {\bf Rank-Recurse}($\pc_0$) .
+\item Execute {\bf Rank-Recurse}($\pc_0$)
 \item Until $\allpatches$ remains unchanged.
 \end{enumerate}
 \end{enumerate}
@@ -101,10 +101,17 @@ dependencies to use.  This allows the specification of any desired
 \begin{enumerate}
 \item Add $\pc$ to $\allpatches$ if it is not there already.
 \item Let $\set S_{\pcn} = h(\pcn)
-     \cup \{ \baseof{E} \; | \; \pendsof{ \left[
-         \bigcup_{\p \in \allpatches} h(\pn) \cup h(\py)
-         \right]
-       }{ \pcy } \} $
+     \cup 
+        \bigcup_{\p \in \allpatches}
+        \bigcup_{H \in h(\pn) \lor H \in h(\py)}
+         \{ \baseof{E} \; | \; E \in \pendsof{H}{\pcy} \} $
+
+and $W = w(h(\pcn))$
+
+We write $\set S = \set S_{\pcn}$ where unambiguous.
+\item While $\exists_{S \in \set S} S \ge W$:
+
+Update $W \assign S$ and $\set S \assign \set S \, \backslash \{ S \}$
 \end{enumerate}
 
 \section{Planning phase}