fixing #3779: typos in paper
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@ -372,7 +372,7 @@ payment system this means that either entity could spent the
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associated funds. Assuming the payment system has effective
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associated funds. Assuming the payment system has effective
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double-spending detection, this means that either entity has to
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double-spending detection, this means that either entity has to
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constantly fear that the funds might no longer be available to it.
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constantly fear that the funds might no longer be available to it.
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Thus, ``transfering'' funds by sharing a private key implies that
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Thus, ``transferring'' funds by sharing a private key implies that
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receiving party must trust the sender. In Taler, making funds
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receiving party must trust the sender. In Taler, making funds
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available by sharing a private key and thus sharing control is {\bf
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available by sharing a private key and thus sharing control is {\bf
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not} considered a {\em transaction} and thus {\bf not} recorded for
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not} considered a {\em transaction} and thus {\bf not} recorded for
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@ -467,7 +467,7 @@ private {\em master signing key} of the mint and possibly the auditor.
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Before a customer can withdraw a coin from the mint, he has to pay the
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Before a customer can withdraw a coin from the mint, he has to pay the
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mint the value of the coin, as well as processing fees. This is done
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mint the value of the coin, as well as processing fees. This is done
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using other means of payments, such as SEPA transfers~\cite{sepa}.
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using other means of payments, such as SEPA transfers~\cite{sepa}.
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The subject line of the transfer must contains {\em withdrawal
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The subject line of the transfer must contain {\em withdrawal
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authorization key}, a public key for digital signatures generated by
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authorization key}, a public key for digital signatures generated by
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the customer. When the mint receives a transfer with a public key in
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the customer. When the mint receives a transfer with a public key in
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the subject, it adds the funds to a {\em reserve} identified by the
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the subject, it adds the funds to a {\em reserve} identified by the
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@ -488,7 +488,7 @@ with others, they also become owners of the coin.
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\subsection{Coin spending}
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\subsection{Coin spending}
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To spent a coin, the coin's owner needs to sign a {\em deposit
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To spend a coin, the coin's owner needs to sign a {\em deposit
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request} specifying the amount, the merchant's account information
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request} specifying the amount, the merchant's account information
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and a {\em business transaction-specific hash} using the coin's
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and a {\em business transaction-specific hash} using the coin's
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private key. A merchant can then transfer this permission of the
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private key. A merchant can then transfer this permission of the
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@ -677,17 +677,17 @@ following interaction with the mint:
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and commits $\langle W, C, b \rangle$ to disk.
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and commits $\langle W, C, b \rangle$ to disk.
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\item The customer transfers an amount of money corresponding to (at least) $K_p$ to the mint, with $W_p$ in the subject line of the transaction.
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\item The customer transfers an amount of money corresponding to (at least) $K_p$ to the mint, with $W_p$ in the subject line of the transaction.
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\item The mint receives the transaction and credits the $W_p$ reserve with the respective amount in its database.
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\item The mint receives the transaction and credits the $W_p$ reserve with the respective amount in its database.
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\item The customer sends $S_W(E_b(C_p))$ to the mint to request withdrawl of $C$; here, $E_b$ denotes Chaum-style blinding with blinding factor $b$.
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\item The customer sends $S_W(E_b(C_p))$ to the mint to request withdrawal of $C$; here, $E_b$ denotes Chaum-style blinding with blinding factor $b$.
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\item The mint checks if the same withdrawl request was issued before; in this case, it sends $S_{K}(E_b(C_p))$ to the customer.\footnote{Here $S_K$
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\item The mint checks if the same withdrawal request was issued before; in this case, it sends $S_{K}(E_b(C_p))$ to the customer.\footnote{Here $S_K$
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denotes a Chaum-style blind signature with private key $K_s$.}
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denotes a Chaum-style blind signature with private key $K_s$.}
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If this is a fresh withdrawl request, the mint performs the following transaction:
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If this is a fresh withdrawal request, the mint performs the following transaction:
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\begin{enumerate}
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\begin{enumerate}
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\item checks if the reserve $W_p$ has sufficient funds for a coin of value corresponding to $K_p$
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\item checks if the reserve $W_p$ has sufficient funds for a coin of value corresponding to $K_p$
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\item stores the withdrawl request $\langle S_W(E_b(C_p)), S_K(E_b(C_p)) \rangle$ in its database for future reference,
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\item stores the withdrawal request $\langle S_W(E_b(C_p)), S_K(E_b(C_p)) \rangle$ in its database for future reference,
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\item deducts the amount corresponding to $K_p$ from the reserve,
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\item deducts the amount corresponding to $K_p$ from the reserve,
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\item and sends $S_{K}(E_b(C_p))$ to the customer.
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\item and sends $S_{K}(E_b(C_p))$ to the customer.
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\end{enumerate}
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\end{enumerate}
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If the guards for the transaction fail, the mint sends an descriptive error back to the customer,
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If the guards for the transaction fail, the mint sends a descriptive error back to the customer,
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with proof that it operated correctly (i.e. by showing the transaction history for the reserve).
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with proof that it operated correctly (i.e. by showing the transaction history for the reserve).
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\item The customer computes (and verifies) the unblind signature $S_K(C_p) = D_b(S_K(E_b(C_p)))$.
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\item The customer computes (and verifies) the unblind signature $S_K(C_p) = D_b(S_K(E_b(C_p)))$.
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The customer writes $\langle S_K(C_p), C_s \rangle$ to disk (effectively adding the coin to the
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The customer writes $\langle S_K(C_p), C_s \rangle$ to disk (effectively adding the coin to the
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@ -876,7 +876,7 @@ a fresh coin $\widetilde{C}$ with the same denomination. In the protocol, $\kapp
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marks $C'_p$ as spent by committing
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marks $C'_p$ as spent by committing
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$\langle C', \gamma, S_{C'}(\vec{E}, \vec{B}, \vec{T}) \rangle$ to disk
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$\langle C', \gamma, S_{C'}(\vec{E}, \vec{B}, \vec{T}) \rangle$ to disk
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\item The mint sends $S_K(C'_p, \gamma)$ to the customer.\footnote{Instead of $K$, it is also
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\item The mint sends $S_K(C'_p, \gamma)$ to the customer.\footnote{Instead of $K$, it is also
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possible to use any equivalent mint signing key known to the customer here, as $K$ merely
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possible to use any equivalent mint signing key known to the customer here, as $K$ merely
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serves as proof to the customer that the mint selected this particular $\gamma$.}
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serves as proof to the customer that the mint selected this particular $\gamma$.}
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\item The customer commits $\langle C', S_K(C'_p, \gamma) \rangle$ to disk.
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\item The customer commits $\langle C', S_K(C'_p, \gamma) \rangle$ to disk.
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\item The customer computes $\mathfrak{R} := \left(t_s^{(i)}, C_p^{(i)}, b_i\right)_{i \ne \gamma}$
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\item The customer computes $\mathfrak{R} := \left(t_s^{(i)}, C_p^{(i)}, b_i\right)_{i \ne \gamma}$
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@ -964,7 +964,7 @@ transfer.
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%The legal status of the system needs to be investigated in the various
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%The legal status of the system needs to be investigated in the various
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%legal systems of the world. However, given that the system enables
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%legal systems of the world. However, given that the system enables
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%taxation and is able to impose withdrawl limits and thus is not
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%taxation and is able to impose withdrawal limits and thus is not
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%suitable for money laundering, we are optimistic that states will find
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%suitable for money laundering, we are optimistic that states will find
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%the design desirable.
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%the design desirable.
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