strategy: define W in Notation

[topbloke-formulae.git] / merge.tex

diff --git a/merge.tex b/merge.tex
index 1d22aec19d64ddcf5fd357660c3ca9580e3f546a..ba7f0f84962b25b5da791f7508388de2c7e87124 100644 (file)
--- a/merge.tex
+++ b/merge.tex
@@ -35,7 +35,7 @@ satisfied; in particular, provided that $L \ge \baseof{R}$.
      \lor
    R \in \foreign
      \lor
-   R \in \pqy
+   ( R \in \pqy \land \pq \neq \p )
   \big]
 }\]
 \[ \eqn{ Merge Acyclic }{
@@ -59,21 +59,21 @@ satisfied; in particular, provided that $L \ge \baseof{R}$.
    \right]
 }\]
 \[ \eqn{ Suitable Tips }{
-    \bigforall_{\p \neq \patchof{L}, \; C \haspatch \p}
+    \bigforall_{\p \patchisin C, \; \py \neq \patchof{L}}
     \bigexists_T
       \pendsof{J}{\py} = \{ T \}
      \land
       \forall_{E \in \pendsof{K}{\py}} T \ge E
     , \text{where} \{J,K\} = \{L,R\}
 }\]
-\[ \eqn{ Foreign Merges }{
+\[ \eqn{ Foreign Merge }{
     \isforeign{L} \implies \isforeign{R}
 }\]
 
 \subsection{Non-Topbloke merges}
 
 We require both $\isforeign{L}$ and $\isforeign{R}$
-(Foreign Merges, above).
+(Foreign Merge, above).
 I.e. not only is it forbidden to merge into a Topbloke-controlled
 branch without Topbloke's assistance, it is also forbidden to
 merge any Topbloke-controlled branch into any plain git branch.
@@ -131,6 +131,14 @@ $\qed$
 
 \subsection{Coherence and Patch Inclusion}
 
+$C$ satisfies
+\gathbegin
+  C \haspatch \p \lor C \nothaspatch \p
+\gathnext
+C \haspatch \p \equiv
+  \stmtmergeof{L \haspatch \p}{M \haspatch \p}{R \haspatch \p}
+\end{gather}
+which (given Coherence of $L$,$M$,$R$) is equivalent to
 $$
 \begin{cases}
   L \nothaspatch \p \land R \nothaspatch \p : & C \nothaspatch \p  \\
@@ -146,7 +154,7 @@ $$
 $D \not\isin L \land D \not\isin R$.  $C \not\in \py$ (otherwise $L
 \in \py$ ie $L \haspatch \p$ by Tip Own Contents for $L$).
 So $D \neq C$.
-Applying \commitmergename gives $D \not\isin C$ i.e. $C \nothaspatch \p$.
+Applying \commitmergename\ gives $D \not\isin C$ i.e. $C \nothaspatch \p$.
 OK.
 
 \subsubsection{For $L \haspatch \p, R \haspatch \p$:}
@@ -323,7 +331,7 @@ $\qed$
 \subsection{Foreign Ancestry}
 
 Only relevant if $\isforeign{L}$, in which case
-$\isforeign{C}$ and by Foreign Merges $\isforeign{R}$,
+$\isforeign{C}$ and by Foreign Merge $\isforeign{R}$,
 so Totally Foreign Ancestry applies.  $\qed$
 
 \subsection{Bases' Children}
@@ -344,5 +352,6 @@ $R$.
 
 Other possibilities for $L \in \pn$ are excluded by Base Merge.
 
-If $L \in \foreign$: not applicable for $L$; nor for $R$, by Foreign Merges.
+If $L \in \foreign$: not applicable for $L$; nor for $R$, by Foreign Merge.
 
+$\qed$