LearnBitcoin

Bitcoin Dev Archive 2014

one-show signatures (Re: The relationship between Proof-of-Publication and Anti-Replay Oracles)

3 messages, 21 to 22 Dec 2014. Started by Adam Back.

Adam Back, Peter Todd, paul snow

Permalink Original thread on gnusha.org

Adam Back permalink original

Yes you could for example define a new rule that two signatures (double-spend) authorises something - eg miners to take funds. (And this would work with existing ECDSA addresses & unrestricted R-value choices).

I wasnt really making a point other than an aside that it maybe is sort-of possible to do with math what you said was not possible where you said "This [preventing signing more than one message] is impossible to implement with math alone".

Adam

On 21 December 2014 at 15:29, Peter Todd <pete@petertodd•org>

Quoted text (4 lines)
> There's no need to get into the specifics of crypto math so early; you
> can just as easily and only slightly less efficiently obtain the same
> result with a few extensions to the Bitcoin scripting system to verify
> ECDSA signatures directly.
Peter Todd in reply to Adam Back permalink original

On Sun, Dec 21, 2014 at 06:10:47PM +0000, Adam Back wrote:

Quoted text (9 lines)
> Yes you could for example define a new rule that two signatures
> (double-spend) authorises something - eg miners to take funds. (And
> this would work with existing ECDSA addresses & unrestricted R-value
> choices).
>
> I wasnt really making a point other than an aside that it maybe is
> sort-of possible to do with math what you said was not possible where
> you said "This [preventing signing more than one message] is
> impossible to implement with math alone".

Introducing a bunch of clever ECDSA math doesn't change the fact that the clever math isn't what is preventing double-spending, clever economics is. Just like Bitcoin itself.

No sense getting people potentially confused by a bunch of complex equations that aren't relevant to the more fundemental and much more important principle that math alone can't prevent double-spending.

paul snow in reply to Peter Todd permalink original

On Sun, Dec 21, 2014 at 12:51 PM, Peter Todd <pete@petertodd•org> wrote:

Quoted text (18 lines)
> On Sun, Dec 21, 2014 at 06:10:47PM +0000, Adam Back wrote:
> > Yes you could for example define a new rule that two signatures
> > (double-spend) authorises something - eg miners to take funds. (And
> > this would work with existing ECDSA addresses & unrestricted R-value
> > choices).
> >
> > I wasnt really making a point other than an aside that it maybe is
> > sort-of possible to do with math what you said was not possible where
> > you said "This [preventing signing more than one message] is
> > impossible to implement with math alone".
>
> Introducing a bunch of clever ECDSA math doesn't change the fact that
> the clever math isn't what is preventing double-spending, clever
> economics is. Just like Bitcoin itself.
>
> No sense getting people potentially confused by a bunch of complex
> equations that aren't relevant to the more fundemental and much more
> important principle that math alone can't prevent double-spending.

Math alone describes all of Bitcoin's structure; as math is a way to model reality, it has no limits. Saying Math can't prevent double-spending is near equivalent to saying it cannot be done.