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better wording for why Lemma 1 proof doesn't work
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gavryushkin committed Jul 15, 2020
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2 changes: 1 addition & 1 deletion rnni_polynomial.tex
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Expand Up @@ -565,7 +565,7 @@ \section{For what $\rho$ is $\decprob{\rho}$ polynomial?}
\label{lemma:if_decprob_poly}
\end{lemma}

\todo[inline]{This proof has an error: The argument as it is written now relies on the fact that there exists $\decprob{\rho} \in \fpc$ \textbf{uniformly in} $\rho$.
\todo[inline]{This proof has an error: The argument as it is written now relies on the fact that there exists an algorithm that computes $\decprob{\rho} \in \fpc$ \textbf{uniformly in} $\rho$.
This has to be proven to prove the lemma.
Idea for this proof: There are only finitely many values of $\rho$ where shortest paths go via different trees.}
\proof
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