add ownership transfer corollary
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@ -1422,10 +1422,10 @@ exchange.
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\begin{theorem}
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\begin{theorem}
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Let $C$ denote a coin controlled by users Alice and Bob.
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Let $C$ denote a coin controlled by users Alice and Bob.
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Suppose Bob creates a coin $C'$ from $C$ using the refresh protocol.
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Suppose Bob creates a coin $C'$ from $C$ following the refresh protocol.
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Assuming the exchange and Bob operated the refresh protocol correctly,
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Assuming the exchange and Bob operated the refresh protocol correctly,
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and that they continue to operate the linking protocol
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and that the exchange continues to operate the linking protocol
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\S\ref{subsec:linking} correctly,
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(\S\ref{subsec:linking}) correctly,
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then Alice can gain control of $C'$ using the linking protocol.
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then Alice can gain control of $C'$ using the linking protocol.
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\end{theorem}
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\end{theorem}
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@ -1442,7 +1442,10 @@ for the residual value on $C'$ and runs the linking protocol to
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determine if it was refreshed too.
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determine if it was refreshed too.
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\end{proof}
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\end{proof}
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At a result, there is no way for a user to loose control over a coin,
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\begin{corollary}
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Abusing the refresh protocol to transfer ownership has an
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expected loss of $1 - \frac{1}{\kappa}$ of the transaction value.
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\end{corollary}
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\section{Privacy arguments}
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\section{Privacy arguments}
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