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Update multi-hop-locks to Musig2 #29

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Dec 9, 2021
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Update multi-hop-locks to Musig2 #29

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20 changes: 10 additions & 10 deletions md/images/multi-hop-locks.txt
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Original file line number Diff line number Diff line change
Expand Up @@ -22,21 +22,21 @@ participant Dave

== Update ==

Alice->Bob : add 2-of-2 MuSig(A,B) output with timelocked refund to A,\ncreate txB spending this to B, nonce(A,txB)
Bob->Alice : nonce(B,txB), psig(B,txB,(z+y0)*G)
Alice->Bob : add 2-of-2 MuSig(A,B) output with timelocked refund to A,\ncreate txB spending this to B
Bob->Alice : psig(B,txB,(z+y0)*G)
Alice->Bob : psig(A,txB,(z+y0)*G)
Bob->Carol : add 2-of-2 MuSig(B,C) output with timelocked refund to B,\ncreate txC spending this to C, nonce(B,txC)
Carol->Bob : nonce(C,txC), psig(C,txC,(z+y0+y1)*G)
Bob->Carol : add 2-of-2 MuSig(B,C) output with timelocked refund to B,\ncreate txC spending this to C
Carol->Bob : psig(C,txC,(z+y0+y1)*G)
Bob->Carol : psig(B,txC,(z+y0+y1)*G)
Carol->Dave : add 2-of-2 MuSig(C,D) output with timelocked refund to C,\ncreate txD spending this to D, nonce(C,txD)
Dave->Carol : nonce(D,txD), psig(D,txD,(z+y0+y1+y2)*G)
Carol->Dave : add 2-of-2 MuSig(C,D) output with timelocked refund to C,\ncreate txD spending this to D
Dave->Carol : psig(D,txD,(z+y0+y1+y2)*G)
Carol->Dave : psig(C,txD,(z+y0+y1+y2)*G)

== Settlement ==

Dave->Dave : create adaptor_sig(D,txD,(z+y0+y1+y2)*G),\nMuSig combine with psig(C,txD,(z+y0+y1+y2)*G),\nbroadcast txD with combined sig
Carol->Carol : compute z+y0+y1 = adaptor_sig(D,txD,(z+y0+y1+y2)*G) - psig(D,txD,(z+y0+y1+y2)*G) - y2\nto create adaptor_sig(C,txC,(z+y0+y1)*G),\nMuSig combine with psig(B,txC,(z+y0+y1)*G),\nbroadcast txC with combined sig
Bob->Bob : compute z+y0 = adaptor_sig(C,txC,(z+y0+y1)*G) - psig(C,txC,(z+y0+y1)*G) - y1\nto create adaptor_sig(B,txB,(z+y0)*G),\nMuSig combine with psig(A,txB,(z+y0)*G),\nbroadcast txB with combined sig
Alice->Alice : compute z = adaptor_sig(B,txB,(z+y0)*G) - psig(B,txB,(z+y0)*G) - y0
Dave->Dave : Create psig(D,txD,(z+y0+y1+y2)*G),\nsum with psig(C,txD,(z+y0+y1+y2)*G) and z+y0+y1+y2\nto create complete sig of txD and broadcast.
Carol->Carol : Compute z+y0+y1 =\n sig(D,txD,(z+y0+y1+y2)*G)\n - psig(D,txD,(z+y0+y1+y2)*G)\n - psig(C,txD,(z+y0+y1+y2)*G) \n - y2,\nsum with psig(C,txC,(z+y0+y1)*G) and psig(B,txC,(z+y0+y1)*G)\nto create complete sig of txC and broadcast.
Bob->Bob : Compute z+y0 =\n sig(C,txC,(z+y0+y1)*G)\n - psig(C,txC,(z+y0+y1)*G)\n - psig(B,txC,(z+y0+y1)*G)\n - y1,\nsum with psig(B,txB,(z+y0)*G) and psig(A,txB,(z+y0)*G)\nto create complete sig of txB and broadcast.
Alice->Alice : Compute z =\n sig(B,txB,(z+y0)*G)\n - psig(A,txB,(z+y0)*G)\n - psig(B,txB,(z+y0)*G)\n - y0.

@enduml
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