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semantics: change operators

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According to beppe recommandation
This commit is contained in:
regnat 2017-03-30 11:41:21 +02:00
parent 60adb32726
commit 95fca72e53
1 changed files with 6 additions and 14 deletions
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20
semantics/semantics.tex
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@ -4,24 +4,17 @@
\usepackage[usenames,dvipsnames,svgnames,table]{xcolor}
\usepackage{ amssymb }
%The \leftsquigarrow command
\makeatletter
\providecommand{\leftsquigarrow}{%
\mathrel{\mathpalette\reflect@squig\relax}%
}
\newcommand{\reflect@squig}[2]{%
\reflectbox{$\m@th#1\rightsquigarrow$}%
}
\makeatother
\usepackage{syntax}
\usepackage{xfrac}
\usepackage{mathtools}
\title{Nix simplified semantics}
\author{Théophane Hufschmitt}
\date{}
\newcommand{\assign}[2]{#1 := #2}
\newcommand{\assignp} [2] {#1 \ensuremath{\leftsquigarrow} #2}
\newcommand{\assign}[2]{\ensuremath{\sfrac{#2}{#1}}}
% \newcommand{\assign}[2]{\ensuremath{#2{#1}}}
\newcommand{\assignp} [2] {\assign{#1}{#2}}
\newcommand{\subst} [3] {#3 [\assign{#1}{#2}]}
\newcommand{\substp} [3] {#3 [\assignp{#1}{#2}]}
\newcommand{\dstep} [2] {#1 \ensuremath{\rightarrow} #2}
@ -29,7 +22,7 @@
\newcommand{\ndsteps} [2] {#1 \ensuremath{\nrightarrow^*} #2}
\newcommand{\dstepa} [3] {\dstep{#1}{&#2}~\emph{#3} \\}
\newcommand{\eqdef}[2]{#1 \ensuremath{=^{def}} #2}
\newcommand{\eqdef}[2]{#1 \ensuremath{\overset{\text{def}}{=}} #2}
\newcommand{\eqdefa}[3]{\eqdef{#1}{&#2} \emph{#3} \\}
\newcommand{\xone}{\ensuremath{x_1}}
@ -66,7 +59,6 @@
Where
\begin{tabular}{rl}
\eqdefa{\assignp{x}{e}}{\assign{x}{e}}{}
\eqdefa{\assignp{q@x}{e}}{\assign{x}{e}; \assignp{q}{e}}{}
\eqdefa{\assignp{\{ x, f_1, \ldots{}, f_n \}}{\{ x = e; g_1; \ldots{}; g_n; \}}}{%
\assign{x}{e}; \assignp{f_1, \ldots{}, f_n}{g_1; \ldots{}; g_n;}}{}