finished first version of proofs

thesis/sections/security_notions.tex

@@ -15,7 +15,7 @@ Strong Existential Unforgeability against Chosen Message Attack (\cma) is a secu
 \end{definition}
 
 
-\begin{figure}
+\begin{figure}[h]
 	\hrule
 	\begin{multicols}{2}
 		\normalsize
@@ -48,13 +48,13 @@ Unforgeability against No Message Attack (UF-NMA) is a security notion for digit
 	\[ \advantage{SIG,\adversary{A}}{\text{UF-NMA}}(\secparamter) \assign \prone{\text{UF-NMA}^{\adversary{A}}} \leq \epsilon \]
 \end{definition}
 
-\begin{figure}
+\begin{figure}[h]
 	\hrule
 	\vspace{1mm}
 	\begin{algorithmic}[1] 
 		\State \underline{\game $\text{UF-NMA}$}
 		\State $(\pubkey, \privkey) \randomassign \keygen(1^\secparamter)$
-		\State $(\m^*, \signature^*) \randomassign \adversary{A}^{\sign(\inp)}(\pubkey)$
+		\State $(\m^*, \signature^*) \randomassign \adversary{A}(\pubkey)$
 		\State \Return $\verify(\pubkey, \m^*, \signature^*) \test 1$
 	\end{algorithmic}
 	\hrule