% Games
\newcommand{\game}{\textbf{Game} }
\newcommand{\inp}{\cdot}
\newcommand{\field}[1]{\mathbb{F}_{#1}}
\newcommand{\secparamter}{\lambda}
\newcommand{\randomsample}{\overset{{\scriptscriptstyle\$}}{\leftarrow}}
\newcommand{\randomassign}{\leftarrow}
\newcommand{\assign}{:=}
\newcommand{\encoded}[1]{\underline{#1}}
\newcommand{\m}{m}
\newcommand{\signature}{\sigma}
\newcommand{\pubkey}{pk}
\newcommand{\privkey}{sk}
\newcommand{\groupelement}[1]{#1}
\newcommand{\agmgroupelement}[2]{[\groupelement{#1}]_{\overset{\rightharpoonup}{#2}}}
\newcommand{\group}[1]{\mathbb{#1}}

% Special Dlog
\newcommand{\sdlog}{DLog' }

% Intermediate Game
\newcommand{\igame}{Game Z }
\newcommand{\ioracle}{Chall }

% EdDSA procedures
\newcommand{\keygen}{KeyGen }
\newcommand{\sign}{Sign }
\newcommand{\verify}{Verify }

% Security Notions
\newcommand{\cma}{SUF-CMA }
\newcommand{\adversary}[1]{\mathcal{#1}}
\newcommand{\advantage}[2]{Adv_{#1}^{#2}}
\newcommand{\prone}[1]{Pr[#1 \Rightarrow 1]}

% Oracle
\newcommand{\Osign}{\textit{Sign} }