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ZoƩ Christoff edited section_BDPs_on_logically_interdependent__.tex
almost 8 years ago
Commit id: 70bd10cb91a719c7f7537a7c3ad1a6106550a07b
deletions | additions
diff --git a/section_BDPs_on_logically_interdependent__.tex b/section_BDPs_on_logically_interdependent__.tex
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--- a/section_BDPs_on_logically_interdependent__.tex
+++ b/section_BDPs_on_logically_interdependent__.tex
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Fix an opinion profile $\O$, an influence profile $\G$, and a set of constraints $\C$. Consider the stream $\O^0, \O^1, \ldots, \O^n, \ldots$ of opinion profiles recursively defined as follows:
\begin{itemize}%[noitemsep]
\item Base: $\O_0 := \O$
\item Step: for all $i \in \N$, $p\in \Atoms$,
$\O_i^{n+1}(p) $O_i^{n+1}(p) :=
\left\{
\begin{array}{ll}
\O^{n}_{R_p(i)}(p) O^{n}_{R_p(i)}(p) & \mbox{if } \bigwedge_{p \in \Atoms}
\O^{n}_{R_p(i)}(p) O^{n}_{R_p(i)}(p) \wedge \bigwedge_{\varphi \in \C} \mbox{ is consistent} \\
\O_i^{n}(p) O_i^{n}(p) & \mbox{otherwise}
\end{array}
\right.
$.