strategy: move traversal proofs inline

[topbloke-formulae.git] / strategy.tex

diff --git a/strategy.tex b/strategy.tex
index bfd392224d6e5c854573b4988f4314fd66d40530..a4716b313dd577c5e74c6e1a7afe4f39ba8be082 100644 (file)
--- a/strategy.tex
+++ b/strategy.tex
@@ -107,5 +107,20 @@ The new tips of the git branches $\pcn$ and $\pcy$, containing
 all the appropriate commits (and the appropriate other patches),
 as generated by the Traversal phase of the update algorithm.
 
-\end{basedescript}
+\item[ $\allreach$ ]
+The set of all reachable commits.
+
+A reachable commit is one we might refer to explicitly in any of these
+algorithms, and any ancestor of such a commit.  We explicitly
+enumerate all of the input commits ($\allsrcs$), so the reachable
+commits are originally the input commits and their ancestors.
+
+$\allreach$ varies over time as we generate more commits.  Each
+commit we generate will have only reachable commits as ancestors, so
+generating a new commit (only) adds that new commit to $\allreach$.
 
+\item[ $\allreachof{\py}$ ]
+The set of reachable commits at the point where we have just generated
+$\tippy$, i.e. just after $\alg{Merge-Tip}(\p)$.
+
+\end{basedescript}