From 469b7b492529b307dfdfd14dac002e7a0fb7e281 Mon Sep 17 00:00:00 2001 From: lunar-mining Date: Sat, 4 Jun 2022 16:53:08 +0200 Subject: [PATCH] book: created overview section --- doc/src/overview/anonymous_assets.md | 71 +++++++++++++++++++++++++++ doc/src/overview/diagram-dkzk.png | Bin 0 -> 31607 bytes doc/src/overview/network.png | Bin 0 -> 32602 bytes doc/src/overview/overview.md | 22 +++++++++ doc/src/overview/transaction.png | Bin 0 -> 18435 bytes 5 files changed, 93 insertions(+) create mode 100644 doc/src/overview/anonymous_assets.md create mode 100644 doc/src/overview/diagram-dkzk.png create mode 100644 doc/src/overview/network.png create mode 100644 doc/src/overview/overview.md create mode 100644 doc/src/overview/transaction.png diff --git a/doc/src/overview/anonymous_assets.md b/doc/src/overview/anonymous_assets.md new file mode 100644 index 000000000..6801781e3 --- /dev/null +++ b/doc/src/overview/anonymous_assets.md @@ -0,0 +1,71 @@ +# Anonymous assets + +DarkFi network allows for the issuance and transfer of anonymous assets with an arbitrary number of parameters. These tokens are anonymous, relying on zero-knowledge proofs to ensure validity without revealing any other information. + +New tokens are created and destroyed every time you send an anonymous transaction. To send a transaction on DarkFi, you must first issue a credential that commits to some value you have in your wallet. This is called the **Mint** phase. Once the credential is spent, it destroys itself: what is called the **Burn.** + +Through this process, the link between inputs and outputs is broken. + +![](transaction.png) + +**Mint** + +During the **Mint** phase we create a new coin *C*, which is bound to the public key *P*. The coin *C* is publicly revealed on the blockchain and added to the merkle tree, which is stored locally on the DarkFi wallet. + +We do this using the following process: + +Let *v* be the coin's value. Generate random $r_C$, $r_V$ and serial $\rho$. + +Create a commitment to these parameters in zero-knowledge: + +$$ C = H(P, v, \rho, r_C) $$ + +Check that the value commitment is constructed correctly: + +$$ v > 0 $$ +$$ V = v G_1 + r_V G_2 $$ + +Reveal *C* and *V*. Add *C* to the merkle tree. + +**Burn** + +When we spend the coin, we must ensure that the value of the coin cannot be double spent. We call this the *Burn* phase. The process relies on a *N* nullifier, which we create using the secret key *x* for the public key *P*. Nullifier's are unique per coin and prevent double spending. +*R* is the merkle root. *v* is the coin's value. + +Generate a random number $r_V$. + +$$ N = H(x, \rho) $$ + +Check that the secret key corresponds to a public key: + +$$ P = xG $$ + +Check that the public key corresponds to a coin which is in the merkle tree *R*: + +$$ C = H(P, v, \rho, r_C) $$ +$$ C \in R $$ + +Check that the value commitment is constructed correctly: + +$$ v > 0 $$ +$$ V = v G_1 + r_V G_2 $$ + +Reveal *N*, *V* and *R*. Check *R* is a valid merkle root. Check *N* does not exist in the nullifier set. + +The zero-knowledge proof confirms that *N* binds to an unrevealed value *C*, and that this coin is in the merkle tree, without linking *N* to *C*. Once the nullifier is produced the coin becomes unspendable. + +**Adding values** + +Assets on DarkFi can have any number of values or attributes. This is achieved by creating a credential *C* and hashing any number of values and checking that they are valid in zero-knowledge. + +We check that the sum of the inputs equals the sum of the outputs. This means that: + +$$ B = \sum{V_{in}} - \sum{V_{out}} $$ + +And that *B* is a valid point on the curve $G_2$. + +This proves that $B = 0 G_1 + b G_2 = b G_2$ where *b* is a secret blinding factor for the amounts. + +**Diagram** + +![](../../specs/diagram-dkzk.png) diff --git a/doc/src/overview/diagram-dkzk.png b/doc/src/overview/diagram-dkzk.png new file mode 100644 index 0000000000000000000000000000000000000000..4cc6bbf997952514dfa8515f3a3508d607315df6 GIT binary patch literal 31607 zcmb@ubyQYe^fmebCRl`kNGO7UA|)khfPf;XAfa?9r3gs32~q-5k|GKyt#m2~qJ*N9 zq#z(&(sk$Y{eJiUasT+fJI3`Lj@R+TIs5Fr_F8kzIrrmxQAJ@VB@-oyMB1sOD0i7e zBJUxQ$XvH=!7G&3L(lQQEk@@RjRSE{0nryRXbM8s9npEB!`eoWlmCyquiSu?N=F#2?i|&$<*C0PG27%MJBaH`q~2} zB_)iq9#W;Q3)eT+*9r;?+jT>TZwuN>QrDjJSp2os&E0)zePwc-4-YQaA6g#M|rifDkegh9VR+!6HeV5 z<2!@Vged;H#zCeK$o%X1BUW}{;iqNpD>J?Kb_?15R+L%(b10(u_C)82Zr90DaWhB#@eikX2gQNrdl<*PGPjWR2|B+rdCu@?$Kuk3~z z{P&9m9>3ABhlb{KPnmn+one~vYxyegy7PNHI;fla-;6Hwcn;;Z>e;#I4K>8J=UeL^ 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