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@@ -543,7 +543,6 @@ For the common prefix to hold, we need $k \geq \frac{\theta \gamma m}{4 \tau}$.
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% Page 2 Garay variable difficulty
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\item $\gamma$: by definition of $(\gamma, s)-respecting$, we have $\gamma \geq \frac{max_{r\in S}n_r}{min_{r \in S}n_r}$ with $n_r = \frac{diff(S)f 2^\kappa}{n_0 m T_0}$
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% ñ definition page 172 Zindros thesis
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% testeok
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\end{itemize}
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\section{Analysis}\label{sec:analysis}
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@@ -54,6 +54,7 @@
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This paper addresses the lack of scalability in current blockchain technology and its hindrance to widespread adoption.
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Blockchain data is categorized into application data and consensus data, with consensus data growing unboundedly at a constant linear rate in time.
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Recently, a protocol to reduce storage and communication complexity of blockchains to $O(polylog(n))$ was proposed, but its security was only proven in a static context.
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This paper focuses on modifying the protocol to fit a dynamic environment, with participants joining or leaving the network, and proving the upkeep of security properties in this context.
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The contributions of this paper include a study of the protocol in the dynamic context, its modification, and proof of properties in the dynamic context.
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\end{abstract}
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