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added the step of validating the adaptor signature #33

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added the step of validating the adaptor signature #33

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7360e6e
+ added the step of validating the adaptor signature
ChrisSon15 Sep 18, 2024
0458028
removed the use of a second adaptor from my first commit, to seperate…
ChrisSon15 Sep 30, 2024
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16 changes: 9 additions & 7 deletions md/atomic-swap.md
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Expand Up @@ -15,10 +15,11 @@ to B on one chain, while B is sending coins to A on the other.
2. A gives B auxiliary data "adaptor signatures" which allow B to extract a
discrete logarithm from a signature on one chain, and conversely to extract a
signature from the same discrete logarithm on the other chain.
3. B then signs to give A her coins on one chain.
4. When A signs to take her coins, B is able to extract a discrete logarithm
3. B validates, that knowing the discrete logarithm would actually allow him to obtain a valid signature from the adaptor signature he got from A.
4. B then creates an adaptor signature with the adaptor A has given him before. That adaptor signature would give A her coins on one chain.
5. A converts the adaptor signature from B to a valid signature by using her knowledge of the discrete logarithm, then A signs to take her coins, B is able to extract the discrete logarithm
from her signature.
5. He uses this to form a signature on the other chain, giving him A's coins.
6. He uses this to form a signature on the other chain, giving him A's coins.

We see that this executes an atomic exchange: if A signs, then both transactions
execute; if A does not sign, then the protocol times out and neither transaction
Expand Down Expand Up @@ -74,13 +75,14 @@ that both blockchains support Schnorr signatures.
2. A chooses a random `t`, sets `T = tG`, and produces adaptor signatures in place
of her contributions to `s`. Each signature uses the same `T`. She sends these
to B.
3. B reveals his contribution to `s` for the signature that sends his coins to A.
4. A reveals her contribution to `s` for that signature, completing it, and
3. B verifies, that with the knowledge of `t`, the adaptor signature, he could actually produce a valid signature.
4. B creates an adaptor signature using the same `T` and reveals his contribution to `s` for the signature that sends his coins to A.
5. A reveals her contribution to `s` for that signature, completing it, and
publishes it to take her coins.
5. Using the adaptor signature, B learns `t` from the output of step (4), and uses
6. Using the adaptor signature, B learns `t` from the output of step (5), and uses
it to compute A's contribution to `s` for the signature that sends her coins to
him.
6. B adds his contribution to `s`, completing the signature, and publishes it to
7. B adds his contribution to `s`, completing the signature, and publishes it to
take his coins.

### Compatibility
Expand Down