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fix: link to NUT with [] instead of () (#217)
* fix: link to NUT with [] instead of () * Update 12.md Co-authored-by: thesimplekid <tsk@thesimplekid.com> --------- Co-authored-by: Pavol Rusnak <pavol@rusnak.io> Co-authored-by: thesimplekid <tsk@thesimplekid.com>
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12.md

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In this document, we present an extension of Cashu's crypto system to allow a user `Alice` to verify the mint `Bob`'s signature using only `Bob`'s public keys. We explain how another user `Carol` who receives ecash from `Alice` can execute the DLEQ proof as well. This is achieved using a Discrete Log Equality (DLEQ) proof. Previously, `Bob`'s signature could only be checked by himself using his own private keys ([NUT-00](00)).
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In this document, we present an extension of Cashu's crypto system to allow a user `Alice` to verify the mint `Bob`'s signature using only `Bob`'s public keys. We explain how another user `Carol` who receives ecash from `Alice` can execute the DLEQ proof as well. This is achieved using a Discrete Log Equality (DLEQ) proof. Previously, `Bob`'s signature could only be checked by himself using his own private keys ([NUT-00][00]).
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# The DLEQ proof
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The purpose of this DLEQ is to prove that the mint has used the same private key `a` for creating its public key `A` ([NUT-01](01)) and for signing the BlindedMessage `B'`. `Bob` returns the DLEQ proof additional to the blind signature `C'` for a mint or swap operation.
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The purpose of this DLEQ is to prove that the mint has used the same private key `a` for creating its public key `A` ([NUT-01][01]) and for signing the BlindedMessage `B'`. `Bob` returns the DLEQ proof additional to the blind signature `C'` for a mint or swap operation.
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The complete DLEQ proof reads
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### User to user: DLEQ in `Proof`
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In order for `Alice` to communicate the DLEQ to another user `Carol`, we extend the `Proof` (see [NUT-00](00)) object and include the DLEQ proof. As explained below, we also need to include the blinding factor `r` for the proof to be convincing to another user `Carol`.
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In order for `Alice` to communicate the DLEQ to another user `Carol`, we extend the `Proof` (see [NUT-00][00]) object and include the DLEQ proof. As explained below, we also need to include the blinding factor `r` for the proof to be convincing to another user `Carol`.
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```json
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{

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