chiark / gitweb /
 author Ian Jackson Sat, 14 Jul 2012 01:50:50 +0000 (02:50 +0100) committer Ian Jackson Sat, 14 Jul 2012 01:50:50 +0000 (02:50 +0100)
 article.tex patch | blob | history traversal.tex patch | blob | history

index a320e58..dd5c996 100644 (file)
\newcommand{\qed}{\square}
\newcommand{\proofstarts}{{\it Proof:}}
\newcommand{\proof}{\proofstarts #1 $\qed$}
-\newcommand{\commitproof}{{\it Proof of commit generation conditions:}
+
+\newcommand{\commitproof}{{\bf Proof of commit generation conditions:}
#1 $\qed$}
+\newcommand{\condproof}{
+
+{\it #1:} #2
+
+}

\newcommand{\statement}{$\eqn{ #1 }{ #2 }$}

index c9647ad..93a3eb8 100644 (file)
@@ -151,12 +151,13 @@ Use $\alg{Create Base}$ with $L$ = $\tipdy,\; \pq = \pc$ to generate $C$
and set $W \iassign C$.

\commitproof{
-  Create Acyclic: by Tip Correct Contents of $L$,
-  $L \haspatch \pa E \equiv \pa E = \pd \lor \pa E \isdep \pd$.
-  Now $\pd \isdirdep \pc$,
-  so by Coherence, and setting $\pa E = \pc$,
-  $L \nothaspatch \pc$. I.e. $L \nothaspatch \pq$.  OK.
-
+  \condproof{Create Acyclic}{
+   by Tip Correct Contents of $L$,
+   $L \haspatch \pa E \equiv \pa E = \pd \lor \pa E \isdep \pd$.
+   Now $\pd \isdirdep \pc$,
+   so by Coherence, and setting $\pa E = \pc$,
+   $L \nothaspatch \pc$. I.e. $L \nothaspatch \pq$.  OK.
+  }
That's everything for Create Base.
}

@@ -171,11 +172,12 @@ sources.  That is, use $\alg{Pseudo-Merge}$ with $L = W, \; \set R = \{ W \} \cup \set S^{\pcn}$.

\commitproof{
-  Base Only: $\patchof{W} = \patchof{L} = \pn$.  OK.
+  \condproof{Base Only}{ $\patchof{W} = \patchof{L} = \pn$.  OK. }

-  Unique Tips:
-  Want to prove that for any $\p \isin C$, $\tipdy$ is a suitable $T$.
-  WIP TODO
+  \condproof{Unique Tips}{
+   Want to prove that for any $\p \isin C$, $\tipdy$ is a suitable $T$.
+   WIP TODO
+  }

WIP TODO INCOMPLETE
}