From d6c16a25a7c03cb243a8c1504309fa89d751454e Mon Sep 17 00:00:00 2001
From: Christian Grothoff <christian@grothoff.org>
Date: Tue, 25 Sep 2018 10:42:56 +0200
Subject: minor fixes

---
 taler-fc19/paper.tex | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

(limited to 'taler-fc19/paper.tex')

diff --git a/taler-fc19/paper.tex b/taler-fc19/paper.tex
index a5f1b0f..2241039 100644
--- a/taler-fc19/paper.tex
+++ b/taler-fc19/paper.tex
@@ -785,7 +785,7 @@ We require the following two security properties for $\textsc{BlindSign}$:
 For more generalized notions of the security of blind signatures, see e.g.
 \cite{fischlin2009security,schroder2017security}.
 
-Let $\textsc{CoinSignKx}$ be combination of a signature scheme and key exchange:
+Let $\textsc{CoinSignKx}$ be combination of a signature scheme and key exchange protocol:
 
 \begin{itemize}
   \item $\algo{KeyGenSec}_{CSK}(1^\lambda) \mapsto \V{sk}$ is a secret key generation algorithm.
@@ -812,16 +812,16 @@ We require the following security properties to hold for $\textsc{CoinSignKx}$:
    some secret key $\V{sk}$ such that $\V{pk} = \algo{KeyGenPub}_{CSK}(\V{sk})$.
 
   \item \emph{key exchange completeness}:
-  Any probabilistic polynomial-time adversary has only negligible chance find
-  $(\V{sk}_x, \V{pk}_x) \leftarrow \algo{KeyGen}_{CSK}(1^\lambda)$ for $x=A,B$
-  for which the key exchange fails,
+  Any probabilistic polynomial-time adversary has only negligible chance to find
+  $(\V{sk}_x, \V{pk}_x) \leftarrow \algo{KeyGen}_{CSK}(1^\lambda)$ for $x \in \{A,B\}$
+  such that the key exchange fails:
     \begin{equation*}
       \algo{Kex}_{CSK}(\V{sk}_A, \V{pk}_B) \neq \algo{Kex}_{CSK}(\V{sk}_B, \V{pk}_A).
     \end{equation*}
 
   \item \emph{key exchange security}:  The output of $\algo{Kx}_{CSK}$ must be computationally
     indistinguishable from a random shared secret of the same length, for inputs that have been
-    generated with $\algo{KeyGen}$.
+    generated with $\algo{KeyGen}_{CSK}$.
 \end{itemize}
 
 Let $\textsc{Sign} = (\algo{KeyGen}_{S}, \algo{Sign}_{S}, \algo{Verify}_{S})$ be a signature
@@ -834,7 +834,7 @@ bit-string.
 
 Let $\V{PRF}$ be a pseudo-random function family.
 
-Using these primitive, we now instantiate the syntax:
+Using these primitives, we now instantiate the syntax:
 
 \begin{itemize}
   \item $\algo{ExchangeKeygen}(1^{\lambda}, 1^{\kappa}, \mathfrak{D})$:
-- 
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