From b2dce48ba8e21aee2cf24da34f1b840460f6eb98 Mon Sep 17 00:00:00 2001 From: Ralf Jung Date: Fri, 29 Jun 2018 23:55:39 +0200 Subject: [PATCH] docs: Fix definition of validity for auth Thanks to Siddharth for pointing this out --- docs/constructions.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/constructions.tex b/docs/constructions.tex index 8987f873..609dc493 100644 --- a/docs/constructions.tex +++ b/docs/constructions.tex @@ -254,7 +254,7 @@ We assume that $M$ has a unit $\munit$, and hence its core is total. (If $M$ is an exclusive monoid, the construction is very similar to a half-ownership monoid with two asymmetric halves.) \begin{align*} \authm(M) \eqdef{}& \maybe{\exm(M)} \times M \\ -\mval( (x, \meltB ) ) \eqdef{}& \setComp{ n }{ n \in \mval(\meltB) \land (x = \mnocore \lor \Exists \melt. x = \exinj(\melt) \land \meltB \mincl_n \melt) } \\ +\mval( (x, \meltB ) ) \eqdef{}& \setComp{ n }{ (x = \mnocore \land n \in \mval(\meltB)) \lor (\Exists \melt. x = \exinj(\melt) \land \meltB \mincl_n \melt \land n \in \mval(\melt)) } \\ (x_1, \meltB_1) \mtimes (x_2, \meltB_2) \eqdef{}& (x_1 \mtimes x_2, \meltB_2 \mtimes \meltB_2) \\ \mcore{(x, \meltB)} \eqdef{}& (\mnocore, \mcore\meltB) \\ (x_1, \meltB_1) \nequiv{n} (x_2, \meltB_2) \eqdef{}& x_1 \nequiv{n} x_2 \land \meltB_1 \nequiv{n} \meltB_2 -- GitLab