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Update on Overleaf.

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Benjamin Loison
2023-06-21 14:44:31 +00:00
committed by node
parent 58b92f2dd0
commit 240e4a57c8
1 changed files with 6 additions and 6 deletions
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ccs-body.tex
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@@ -123,18 +123,18 @@ However, the adversary remains computationally bounded. Hence, it cannot, in a p
% Second, we assume that \hash{.} values are uniformly distributed over the \(\llbracket 0 ; 2^{\ell} -1\rrbracket \)interval. % Second, we assume that \hash{.} values are uniformly distributed over the \(\llbracket 0 ; 2^{\ell} -1\rrbracket \)interval.
% Finally, we assume that \hash{.} is collision free in the sense that given two blocks \(b_1, b_2\) we have \(b_1 = b_2 \Leftrightarrow \) \hash{b_1} = \hash{b_2}. % Finally, we assume that \hash{.} is collision free in the sense that given two blocks \(b_1, b_2\) we have \(b_1 = b_2 \Leftrightarrow \) \hash{b_1} = \hash{b_2}.
% \textcolor{blue}{je ne suis pas completement sure que la suite fasse partie du modele. En fait il faut mettre toute cette partie là ou on va expliquer notre solution} % \textcolor{blue}{je ne suis pas completement sûre que la suite fasse partie du modèle. En fait il faut mettre toute cette partie là où on va expliquer notre solution}
% In addition to the application specifications, a block \(b\) is valid if it can be appended to a prefix of the current blockchain. % In addition to the application specifications, a block \(b\) is valid if it can be appended to a prefix of the current blockchain.
% Note that a block is not required to extend the best blockchain. On the contrary, it can happen that this addition may change the best blockchain. % Note that a block is not required to extend the best blockchain. On the contrary, it can happen that this addition may change the best blockchain.
% PoW systems rely on two additional functions, namely \diff{.} and \target{.}. % PoW systems rely on two additional functions, namely \diff{.} and \target{.}.
% \target{.} computes a value that depend on the current best blockchain to ensure a constant interblock delay. % \target{.} computes a value that depends on the current best blockchain to ensure a constant interblock delay.
% For instance, Bitcoin computes a new \target{.} at each sequence of 2016 blocks on the empirical interblock delay on the previous sequence. % For instance, Bitcoin computes a new \target{.} at each sequence of 2016 blocks on the empirical interblock delay on the previous sequence.
% The adjustment of \target{.} aims at handling the variation of the population of the system. % The adjustment of \target{.} aims at handling the variation of the population of the system.
% When the population growths, blocks will be generated with a smaller interblock delay, \target{.} is thus lowered by the protocol. % When the population growths, blocks will be generated with a smaller interblock delay, \target{.} is thus lowered by the protocol.
% On the contrary, if the population decreases, the interblock delay will increase and the \target{.} has to be increased by the protocol. % On the contrary, if the population decreases, the interblock delay will increase and the \target{.} has to be increased by the protocol.
% \diff{b} computes a value that depend on the given block \(b\). % \diff{b} computes a value that depends on the given block \(b\).
% In such a system, a block \(b\) is {\em valid} if \(b\) meets application specification, and if \diff{b} satisfies the current interblock delay condition, \emph{i.e.}, if the following condition holds \diff{b} \(\leq\) \target{b}. % In such a system, a block \(b\) is {\em valid} if \(b\) meets application specification, and if \diff{b} satisfies the current interblock delay condition, \emph{i.e.}, if the following condition holds \diff{b} \(\leq\) \target{b}.
% For the sake of simplicity, we consider that \diff{b} = \hash{b}. % For the sake of simplicity, we consider that \diff{b} = \hash{b}.