[bitcoin-dev] SAS: Succinct Atomic Swap

Ruben Somsen rsomsen at gmail.com
Mon May 11 15:29:51 UTC 2020


Works today with single signer ECDSA adaptor signatures[0], or with
Schnorr + MuSig.

Diagram here:
https://gist.github.com/RubenSomsen/8853a66a64825716f51b409be528355f#file-succinctatomicswap-svg


Advantages:

- Requires merely two on-chain transactions for successful completion,
as opposed to four
- Scriptless, and one of the chains doesn't need to support timelocks
- Can be used for efficient privacy swaps, e.g. Payswap[1]


Disadvantages:

- Access to money is contingent on remembering secrets (backup complexity)
- Online/watchtower requirement for the timelock supporting chain (not
needed with 3 tx protocol)


Protocol steps:


0.) Alice & Bob pre-sign the following transactions, with exception of
the signatures in [brackets]:

- success_tx (money to Bob): [sigSuccessAlice] + [sigSuccessBob]
- revoke_tx (timelock): sigRevokeAlice + sigRevokeBob, which must then
be spent by:
  -- refund_tx (relative timelock, refund to Alice): [sigRefundAlice]
+ {sigRefundBob}
  -- timeout_tx (longer relative timelock, money to Bob):
sigTimeoutAlice + [sigTimeoutBob]

{sigRefundBob} is an adaptor signature, which requires secretAlice to complete


1.) Alice proceeds to lock up 1 BTC with Bob, using keyAlice & keyBob as pubkeys

If protocol is aborted after step 1:

- Alice publishes the revoke_tx, followed by the refund_tx &
sigRefundBob, to get her BTC back
- If Alice neglects to publish the refund_tx in time, Bob will claim
the BTC with the timeout_tx


2.) Bob locks up altcoins with Alice, using secretAlice & secretBob as pubkeys

If protocol is aborted after step 2:

- Once Alice publishes sigRefundBob, Bob learns secretAlice and
regains control over the altcoins


3.) Protocol completion:

- Alice hands adaptor signature {sigSuccessAlice} to Bob, which
requires secretBob to complete
- Bob could now claim the BTC via the success_tx, reveal secretBob,
and thus give Alice control over the altcoins (= 3 tx protocol)
- Instead, Bob simply hands secretBob to Alice
- Likewise, Alice hands keyAlice to Bob to forego her claim on the refund_tx
- Bob continues to monitor the chain, because he'll have to respond if
Alice ever publishes the revoke_tx


More graceful protocol failure:

If the protocol aborts after step 1, Alice would have been forced to
make three transactions in total, while Bob has made none. We can
reduce that to two by introducing a second refund_tx with timelock
that can be published ahead of the revoke_tx and directly spends from
the funding transaction. Publishing this transaction would also reveal
secretAlice to Bob via an adaptor signature. In the 3 tx protocol,
this output can go directly to Alice. In the 2 tx protocol with
online/watchtower requirement, this output needs a script: spendable
by Alice + Bob right away OR by Alice after a relative timelock. It is
important to note that this transaction must NOT be published during
step 3. Once Bob can complete the success_tx, the revoke_tx is needed
to invalidate the success_tx prior to revealing secretAlice.


FAQ:

- Why not allow Alice to still claim the altcoins if she accidentally
lets Bob publish the timeout_tx?

Alice could send the revoke_tx at the same time, revealing both
secrets and causing likely losses. This can be solved by adding yet
another transaction, but it wouldn't be efficient and wouldn't
motivate Alice to behave.

- Is it possible to implement this protocol on chains which only
support absolute timelocks?

Yes, but then Bob must spend his swapped coins before the timelock
expires (or use the 3 tx protocol). Be aware that the revoke_tx MUST
confirm before the timeout_tx becomes valid, which may become a
problem if fees suddenly rise. The refund_tx can also not be allowed
to CPFP the timeout_tx, as they must confirm independently in order to
invalidate the success_tx first.

- Can't Alice just publish the revoke_tx after protocol completion?

Yes, she'd first have to move the altcoins (to invalidate
secretAlice), and could then try to claim the BTC by publishing the
revoke_tx, forcing Bob to react on-chain before the refund_tx becomes
valid. The eltoo[2] method of paying for fees (requires
sighash_anyprevout) or a second CPFP-able output may be an improvement
here (and also mitigates fee rising issues), but note that this also
increases the required amount of tx data if the protocol doesn't
complete successfully.

- Can this be made to work with hash locks?

Yes, by making the altcoins spendable via sigAlice + preimageBob OR
sigBob + preimageAlice, and ensuring the contracts on the BTC side
reveal either pre-image. Do note that this is not scriptless and will
thus increase the transaction size.


Open question:

Perhaps it's possible to perform an atomic swap in and out of
Lightning with only a single on-chain transaction. This would require
some kind of secondary set of HTLCs, allowing the sender to cancel a
Lightning payment by revealing a secret after a certain period of
time.


-- Ruben Somsen




Thanks to Lloyd Fournier for feedback and review.

If you find any further errors, I will endeavor to fix them here:
https://gist.github.com/RubenSomsen/8853a66a64825716f51b409be528355f


Related work:

Tier Nolan Atomic Swap:
https://bitcointalk.org/index.php?topic=193281.msg2224949#msg2224949
Monero Atomic Swap:
https://github.com/h4sh3d/xmr-btc-atomic-swap/blob/master/README.md


[0] https://lists.linuxfoundation.org/pipermail/lightning-dev/2019-November/002316.html

[1] https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2020-January/017595.html

[2] https://blockstream.com/eltoo.pdf


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