strategy: define W in Notation

[topbloke-formulae.git] / article.tex

diff --git a/article.tex b/article.tex
index 7a43732309281d9402dde333c37f398c8cb75a29..45510aa70d507d9daddd33c5b01306e983f40848 100644 (file)
--- a/article.tex
+++ b/article.tex
@@ -5,11 +5,14 @@
 \usepackage{mathabx}
 \usepackage{txfonts}
 \usepackage{amsfonts}
+\usepackage{eufrak}
 \usepackage{mdwlist}
+\usepackage{hyperref}
+%\usepackage{lastpage}
 %\usepackage{accents}
 
 \usepackage{fancyhdr}
-\pagestyle{fancy}
+\pagestyle{fancyplain}
 \rhead[\rightmark]{}
 \lhead[]{\rightmark}
 \rfoot[\thepage]{\input{revid.inc}}
@@ -38,6 +41,8 @@
           \hidehacktrue\ifhidehack#1\else#2\fi\hidehackfalse}
         \newcommand{\pa}[1]{\hidefromedef{\varmathbb{#1}}{#1}}
 
+\newcommand{\stmt}[1]{\mathfrak{#1}}
+
 \newcommand{\set}[1]{\mathbb{#1}}
 \newcommand{\pay}[1]{\pa{#1}^+}
 \newcommand{\pan}[1]{\pa{#1}^-}
@@ -69,6 +74,9 @@
 %\newcommand{\hasparents}{\underaccent{1}{>}}
 %\newcommand{\hasparents}{{%
 %  \declareslashed{}{_{_1}}{0}{-0.8}{>}\slashed{>}}}
+\newcommand{\hasparent}{>_{\mkern-7.0mu _{1}}}
+\newcommand{\isparent}{<_{\mkern-18.0mu _{1}\mkern+9.0mu}}
+
 \newcommand{\hasparents}{>_{\mkern-7.0mu _{1:}}}
 \newcommand{\areparents}{<_{\mkern-14.0mu _{1:}\mkern+5.0mu}}
 
@@ -84,24 +92,41 @@
 \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 \has \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 D}}
+\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{\foreign}{\pa F}
+\newcommand{\isforeign}[1]{#1 \in \foreign}
+
 \newcommand{\allpatches}{\Upsilon}
 \newcommand{\assign}{\leftarrow}
 \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}{\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{\eqntag}[2]{ #2 \tag*{\mbox{#1}} }
 \newcommand{\eqn}[2]{ #2 \tag*{\mbox{\bf #1}} }
@@ -109,21 +134,17 @@
 \newcommand{\hasdirdep}{\succ_{\mkern-7.0mu _1}}
 \newcommand{\hasdep}{\succ}
 \newcommand{\isdep}{\prec}
+\newcommand{\isdirdep}{\prec_{\mkern-18.0mu _1}{\mkern+10mu}}
 
-\newcommand{\tipz}{ T^0 }
-\newcommand{\tipc}{ T }
-\newcommand{\tipu}{ T' }
-\newcommand{\tipf}{ T^* }
-
-\newcommand{\tipza}[1]{ \tipz_{#1} }
-\newcommand{\tipca}[1]{ \tipc_{#1} }
-\newcommand{\tipua}[1]{ \tipu_{#1} }
-\newcommand{\tipfa}[1]{ \tipf_{#1} }
+\newcommand{\tip}{ T }
+\newcommand{\tipa}[1]{ \tip^{#1} }
+\newcommand{\tipcn}{ \tipa \pcn }
+\newcommand{\tipcy}{ \tipa \pcy }
+\newcommand{\tipdn}{ \tipa \pdn }
+\newcommand{\tipdy}{ \tipa \pdy }
 
-\newcommand{\tipzc}{ \tipza \pc }
-\newcommand{\tipcc}{ \tipca \pc }
-\newcommand{\tipuc}{ \tipua \pc }
-\newcommand{\tipfc}{ \tipfa \pc }
+\newcommand{\tippn}{ \tipa \pn }
+\newcommand{\tippy}{ \tipa \py }
 
 %\newcommand{\bigforall}{\mathop{\hbox{\huge$\forall$}}}
 \newcommand{\bigforall}{%
@@ -148,6 +169,16 @@
 \newcommand{\proofstarts}{{\it Proof:}}
 \newcommand{\proof}[1]{\proofstarts #1 $\qed$}
 
+\newcommand{\commitproof}[1]{{\bf Proof of commit generation conditions:}
+ #1 $\qed$}
+\newcommand{\condproof}[2]{
+
+{\it #1:} #2
+
+}
+
+\newcommand{\statement}[2]{\[\eqn{ #1 }{ #2 }\]}
+
 \newcommand{\gathbegin}{\begin{gather} \tag*{}}
 \newcommand{\gathnext}{\\ \tag*{}}
 
@@ -168,9 +199,16 @@
 \input{create-tip.tex}
 \input{anticommit.tex}
 \input{merge.tex}
+\input{pseudomerge.tex}
 
 \chapter{Update strategy}
 
 \input{strategy.tex}
+\input{ranking.tex}
+\input{traversal.tex}
+
+%\AtEndDocument{\par\bigskip\centerline{\Large\bfseries Document ends here}}
+
+\par$\bigboxdot$
 
 \end{document}