chiark / gitweb /
strategy: move traversal proofs inline
[topbloke-formulae.git] / article.tex
index 6e3d5156600c4be6dbe41cd6de0a272aee783f54..6bbe082c65b2a73eb682c81ce1e2296535501fb4 100644 (file)
 \newcommand{\pancsof}[2]{\pancs ( #1 , #2 ) }
 \newcommand{\pendsof}[2]{\pends ( #1 , #2 ) }
 
-\newcommand{\merge}{{\mathcal M}}
-\newcommand{\mergeof}[4]{\merge(#1,#2,#3,#4)}
+%\newcommand{\commitmerge}{\text{\commitmergename}}
+\newcommand{\commitmergeof}[4]{#1 \approx \stmtmergeof{#2}{#3}{#4}}
 %\newcommand{\merge}[4]{{#2 {{\frac{ #1 }{ #3 } #4}}}}
+\newcommand{\commitmergename}{Git Merge}
 
 \newcommand{\patch}{{\mathcal P}}
 \newcommand{\base}{{\mathcal B}}
 \newcommand{\depsreq}{{\mathcal G}}
 
+\newcommand{\allsrcs}{\set U}
+\newcommand{\allreach}{\set O}
+\newcommand{\allreachof}[1]{\set O^{#1}}
+
 \newcommand{\patchof}[1]{\patch ( #1 ) }
 \newcommand{\baseof}[1]{\base ( #1 ) }
 \newcommand{\depsreqof}[1]{\depsreq ( #1 ) }
 \newcommand{\iassign}{\leftarrow}
 %\newcommand{\assign}{' =}
 
+\newcommand{\mergeof}[3]{\left\langle #1 \;\middle\langle #2 \middle\rangle\; #3 \right\rangle}
+
 \newcommand{\alg}[1]{\text{\bf #1}}
-\newcommand{\setmerge}{\alg{merge}}
-\newcommand{\setmergeof}[3]{\setmerge\left\langle #1 \;\middle\langle #2 \middle\rangle\; #3 \right\rangle}
+\newcommand{\setmerge}{\mergeof{}{}{}}
+\newcommand{\setmergeof}[3]{\mergeof{#1}{#2}{#3}}
+\newcommand{\stmtmergeof}[3]{\mergeof{#1}{#2}{#3}}
+
 %\newcommand{\setmergeof}[3]{\setmerge\left\lgroup #1 \;\middle\lmoustache\; #2 \;\middle\rmoustache\; #3 \right\rgroup}
 %\newcommand{\setmergeof}[3]{\setmerge\left\rmoustache #1 \middle\rmoustache #2 \middle\lmoustache #3 \right\lmoustache}
 %\newcommand{\setmergeof}[3]{\setmerge\left\lfloor #1 \middle\lfloor #2 \middle\rfloor #3 \right\rfloor}
 \newcommand{\tipdn}{ \tipa \pdn }
 \newcommand{\tipdy}{ \tipa \pdy }
 
+\newcommand{\tippy}{ \tipa \py }
+
 %\newcommand{\bigforall}{\mathop{\hbox{\huge$\forall$}}}
 \newcommand{\bigforall}{%
   \mathop{\mathchoice%
 \newcommand{\qed}{\square}
 \newcommand{\proofstarts}{{\it Proof:}}
 \newcommand{\proof}[1]{\proofstarts #1 $\qed$}
+\newcommand{\commitproof}[1]{{\it Proof of commit generation conditions:}
+ #1 $\qed$}
+
+\newcommand{\statement}[2]{\[\eqn{ #1 }{ #2 }\]}
 
 \newcommand{\gathbegin}{\begin{gather} \tag*{}}
 \newcommand{\gathnext}{\\ \tag*{}}
 \chapter{Update strategy}
 
 \input{strategy.tex}
+\input{ranking.tex}
+\input{trav-alg.tex}
+\input{trav-proofs.tex}
 
 \end{document}