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Refactor: Update tabular in functionalities
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functionalities/diffuse.tex

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The functionality is parameterized by the network delay \delay.
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\begin{minipage}{\linewidth}
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\begin{tabularx}{.9\textwidth}{c X}
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\toprule[.3mm]
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\textbf{State Variable}
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& \textbf{Description}
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\\ \midrule[.3mm]
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$\partyset \gets \emptyset$
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& The set of registered parties.
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\\ \midrule
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$\vecM \gets [] $
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& A dynamically updatable list of quadruples $(m, \msgid, D_{\msgid}, \party)$ where $D_{\msgid}$ denotes the fetch counter.
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\\ \bottomrule[.3mm]
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\end{tabularx}
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\addtocounter{table}{-1}
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\end{minipage}
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\addtocounter{table}{-1}
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\begin{tabularx}{.9\textwidth}{c X}
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\toprule[.3mm]
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\textbf{State Variable}
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& \textbf{Description}
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\\ \midrule[.3mm]
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$\partyset \gets \emptyset$
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& The set of registered parties.
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\\ \midrule
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$\vecM \gets [] $
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& A dynamically updatable list of quadruples $(m, \msgid, D_{\msgid}, \party)$ where $D_{\msgid}$ denotes the fetch counter.
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\\ \bottomrule[.3mm]
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\end{tabularx}
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\paragraph{Network capabilities:}
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%
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\paragraph{Additional adversarial capabilities:}
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%
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\begin{cccItemize}[nosep]
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\item Upon receiving $(\textsc{diffuse}, \sid, m)$ from some corrupted $\party_s \in \partyset$ (or from \adv on behalf of $\party_s$ if corrupted),
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\item Upon receiving $(\textsc{diffuse}, \sid, m)$ from some corrupted $\party_s \in \partyset$ (or from \adv on behalf of $\party_s$ if corrupted),
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% do
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execute it the same way as an honest-sender diffuse, with the only difference that $\delay_{\msgid_i} = \infty$.
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functionalities/global-clock.tex

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@@ -5,12 +5,13 @@
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This functionality maintains state variables as follows.
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\addtocounter{table}{-1}
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\begin{tabularx}{.9\textwidth}{c X}
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\toprule[.3mm]
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\textbf{State Variable}
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& \textbf{Description}
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\\ \midrule[.3mm]
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$\partyset \gets \emptyset$
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$\partyset \gets \emptyset$
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& The set of registered parties $\party = (\pid, \sid)$.
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\\ \midrule
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$F \gets \emptyset$
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& The clock-update variable for $(\F, \sid) \in F$.
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\\ \bottomrule[.3mm]
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\end{tabularx}
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\addtocounter{table}{-1}
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\begin{cccItemize}[noitemsep]
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\item Upon receiving $(\textsc{clock-update}, \sid_C)$ from some party $\party \in \partyset$ set $d_\party \gets 1$; execute \emph{Round-Update} and forward $(\textsc{clock-update}, \sid_C, \party)$ to \adv.

functionalities/random-oracle.tex

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The functionality is parameterized by a security parameter $\kappa$.
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\addtocounter{table}{-1}
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\begin{tabularx}{.9\textwidth}{c X}
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\toprule[.3mm]
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\textbf{State Variable}
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& A dynamically updatable function table where $H[x] = \bot$ denotes the fact that no pair of the form $(x, \cdot)$ is in $H$.
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\\ \bottomrule[.3mm]
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\end{tabularx}
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\addtocounter{table}{-1}
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\begin{cccItemize}[noitemsep]
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\item \textbf{Eval.} Upon receiving $(\textsc{eval}, \sid, x)$ from some party $\party \in \partyset$ (or from \adv on behalf of a corrupted \party), do the following:

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