strategy: new, wip

[topbloke-formulae.git] / strategy.tex

diff --git a/strategy.tex b/strategy.tex
index c8a0bfe41846f830e22019a152b950ac53648286..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}
@@ -104,9 +104,14 @@ dependencies to use.  This allows the specification of any desired
      \cup 
         \bigcup_{\p \in \allpatches}
         \bigcup_{H \in h(\pn) \lor H \in h(\py)}
-         \{ \baseof{E} \; | \; E \in \pendsof{H}{\pcy} \} $.
+         \{ \baseof{E} \; | \; E \in \pendsof{H}{\pcy} \} $
 
-(We write $\set S = \set S_{\pcn}$ when it's not ambiguous.)
+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}