From 60a13f4accf462d208517a8aef15a0a5906ae32b Mon Sep 17 00:00:00 2001
From: Ralf Jung <jung@mpi-sws.org>
Date: Fri, 11 Mar 2016 10:01:55 +0100
Subject: [PATCH] docs: record notation
---
docs/constructions.tex | 8 ++++----
docs/iris.sty | 1 +
2 files changed, 5 insertions(+), 4 deletions(-)
diff --git a/docs/constructions.tex b/docs/constructions.tex
index 0afec08f2..3dcc198e9 100644
--- a/docs/constructions.tex
+++ b/docs/constructions.tex
@@ -6,11 +6,11 @@
Given some COFE $\cofe$, we define $\agm(\cofe)$ as follows:
\begin{align*}
- \monoid \eqdef{}& \setComp{(c, V) \in (\mathbb{N} \to T) \times \pset{\mathbb{N}}}{ \All n, m. n \geq m \Ra n \in V \Ra m \in V } \\
+ \monoid \eqdef{}& \recordComp{c : \mathbb{N} \to T , V : \pset{\mathbb{N}}}{ \All n, m. n \geq m \Ra n \in V \Ra m \in V } \\
& \text{quotiented by} \\
- (c_1, V_1) \equiv (c_1, V_2) \eqdef{}& V_1 = V_2 \land \All n. n \in V_1 \Ra c_1(n) \nequiv{n} c_2(n) \\
- (c_1, V_1) \nequiv{n} (c_1, V_2) \eqdef{}& (\All m \leq n. m \in V_1 \Lra m \in V_2) \land (\All m \leq n. m \in V_1 \Ra c_1(m) \nequiv{m} c_2(m)) \\
- \mval_n \eqdef{}& \setComp{(c, V) \in \monoid}{ n \in V \land \All m \leq n. c(n) \nequiv{m} c(m) } \\
+ \melt \equiv \meltB \eqdef{}& \melt.V = \meltB.V \land \All n. n \in \melt.V \Ra \melt.c(n) \nequiv{n} \meltB.c(n) \\
+ \melt \nequiv{n} \meltB \eqdef{}& (\All m \leq n. m \in \melt.V \Lra m \in \meltB.V) \land (\All m \leq n. m \in \melt.V \Ra \melt.c(m) \nequiv{m} \meltB.c(m)) \\
+ \mval_n \eqdef{}& \setComp{\melt \in \monoid}{ n \in \melt.V \land \All m \leq n. \melt.c(n) \nequiv{m} \melt.c(m) } \\
\mcore\melt \eqdef{}& \melt \\
\melt \mtimes \meltB \eqdef{}& (\melt.c, \setComp{n}{n \in \melt.V \land n \in \meltB.V_2 \land \melt \nequiv{n} \meltB }) \\
\melt \mdiv \meltB \eqdef{}& \melt \\
diff --git a/docs/iris.sty b/docs/iris.sty
index 3cfdedd63..31f53a066 100644
--- a/docs/iris.sty
+++ b/docs/iris.sty
@@ -59,6 +59,7 @@
\newcommand*\setComp[2]{\left\{#1\spac\middle|\spac#2\right\}}
\newcommand*\set[1]{\left\{#1\right\}}
\newcommand*\record[1]{\left\{\spac#1\spac\right\}}
+\newcommand*\recordComp[2]{\left\{\spac#1\spac\middle|\spac#2\spac\right\}}
\newenvironment{inbox}[1][]{
\begin{array}[#1]{@{}l@{}}
--
GitLab