typo

Recherche/BFT-ARBover/5_BFT_ARB/index.tex

@@ -237,14 +237,14 @@ Each process $p_i$ maintains the following local variables:
             \If{$|\resolved[r]| < n - f$}
                 \State \Return $\bot$
             \EndIf
-            \State $W[r] \gets \{j: (j, \PROVEtrace(r)) \in \bigcup_{k \in \Pi} Y[k].\BFTREAD()\}$
+            \State $W[r] \gets \{j: |\{k: (k, \PROVEtrace(r)) \in Y[j].\BFTREAD()\}| \geq t+1\}$
             \If{$\exists j \in W[r],\ \prop[r][j] = \bot$}
                 \State \Return $\bot$
             \EndIf
-            \State $M_r \gets \bigcup_{j \in W[r]} \prop[r][j]$
+            \State $M \gets \bigcup_{j \in W[r]} \prop[r][j]$
-            \State $m \gets \ordered(M_r \setminus \delivered)[0]$ \Comment{Set $m$ as the smaller message not already delivered}
+            \State $m \gets \ordered(M \setminus \delivered)[0]$ \Comment{Set $m$ as the smaller message not already delivered}
             \State $\delivered \leftarrow \delivered \cup \{m\}$
-            \If{$M_r \setminus \delivered = \emptyset$} \Comment{Check if all messages from round $r$ have been delivered}
+            \If{$M \setminus \delivered = \emptyset$} \Comment{Check if all messages from round $r$ have been delivered}
                 \State $\texttt{last\_delivered} \gets \texttt{last\_delivered} + 1$
             \EndIf
             \State \textbf{return} $m$