LearnBitcoin

Bitcoin Dev Archive 2013

smart contracts -- possible use case? yes or no?

12 messages, 27 Sep to 7 Oct 2013. Started by Melvin Carvalho.

Adam Back (4), Melvin Carvalho (3), Rob Golding, Neil Fincham, Gavin Andresen, Mike Hearn, Mark Friedenbach

Permalink Original thread on gnusha.org

Melvin Carvalho permalink original

We all love bitcoin's ability to transfer value in real time across borders.

But the regulatory environment in many geographical regions in uncertain. Do we need to pay capital gains? Do we need to pay a sales taxs etc. etc.

At this point bitcoin is small enough for this to not be a huge issue, but one day that may change (maybe we hope!).

So my idea is to voluntarily pre empt legislation by giving donations to govt (aka taxation) for bitcoin service providers.

However, there is something of a problem with voluntary donations. Most people are not satisfied with the way they are spent. In the UK a recent survey said that only 18% of people thought that tax money was wisely spent. This is bad for govt., bad for people, and bad for the trusted relationship.

Can we fix it? Maybe we smart contract and voluntary donations it's possible!

So let's say I run a business and I make 1 million euros. I wish to donate 10% of my profits to society. But let's say I dont want that money to go to wars of aggression, but rather, to the fire de[department.

So we set up a smart contract that is only "cashable" if the money goes to the right place (verified by an oracle).

At this point everyone wins. The business person is happy to make a contribution. The govt. is happy that it gets more revenue. The fire dept. is happy that it has revenue to do its work. And everything has gone to the right place in a kind of democratic way.

Over time if it takes off, this could provide revenue for many essential services that are needed by people, in a way that allows more democratic freedom of choice.

So my question is whether it may be possible to use smart contracts to achieve a better democracy that is good for people, good for govt, and good for innovation? My hope is that the answer is ...

"Yes We Can"

:)

Rob Golding in reply to Melvin Carvalho permalink original
Quoted text (3 lines)
> But the regulatory environment in many geographical regions in
> uncertain.   Do we need to pay capital gains?   Do we need to pay a
> sales taxs etc. etc.

In most regions it's not only 'simple' but trivial - BTC is just 'another currency' and accounted for exactly the same way - it doens't matter if you sell your hose for GBP, USD, EUR, BTC or sacks of Pig Dung, you still have a GBP tax issue ...

Quoted text (2 lines)
> So my idea is to voluntarily pre empt legislation by giving donations
> to govt (aka taxation) for bitcoin service providers.

You want to volunteer to pay tax ? I'd suggest stronger medication ...

Quoted text (2 lines)
> However, there is something of a problem with voluntary donations.
> Most people are not satisfied with the way they are spent.

80% of 'donations' end up spent on 'adminsitration' and not what they were donated for, this is a 'greed' issue not a 'currency' issue.

Quoted text (3 lines)
> In the UK
> a recent survey said that only 18% of people thought that tax money
> was wisely spent.

Tax isn't voluntary or a donation. The 18% who think UK tax is well spent are the 18% of the population who get the tax money, not the 82% that pay it ;)

Quoted text (1 line)
> Can we fix it?

First we kill all the politicians ...

Quoted text (4 lines)
> So let's say I run a business and I make 1 million euros.  I wish to
> donate 10% of my profits to society.  But let's say I dont want that
> money to go to wars of aggression, but rather, to the fire
> de[department.

So give it to the FD - what you do with your post-tax profits are up to you ;)

Quoted text (4 lines)
> At this point everyone wins.  The business person is happy to make a
> contribution.  The govt. is happy that it gets more revenue.  The
> fire dept. is happy that it has revenue to do its work.  And
> everything has gone to the right place in a kind of democratic way.

Where does gov't come into this ? I think you're confusing 'tax' which you have zero control over and 'donations' which you already have 100% control over.

Rob

Neil Fincham in reply to Rob Golding permalink original

I subscribe to this list so I can keep up-to date with bitcoin development, can we keep philosophy and tax evasion out of it?

Neil

On 29 September 2013 09:15, <rob.golding@astutium•com> wrote:

Quoted text (64 lines)
> > But the regulatory environment in many geographical regions in
> > uncertain.   Do we need to pay capital gains?   Do we need to pay a
> > sales taxs etc. etc.
>
> In most regions it's not only 'simple' but trivial - BTC is just
> 'another currency' and accounted for exactly the same way - it doens't
> matter if you sell your hose for GBP, USD, EUR, BTC or sacks of Pig
> Dung, you still have a GBP tax issue ...
>
> > So my idea is to voluntarily pre empt legislation by giving donations
> > to govt (aka taxation) for bitcoin service providers.
>
> You want to volunteer to pay tax ? I'd suggest stronger medication ...
>
> > However, there is something of a problem with voluntary donations.
> > Most people are not satisfied with the way they are spent.
>
> 80% of 'donations' end up spent on 'adminsitration' and not what they
> were donated for, this is a 'greed' issue not a 'currency' issue.
>
> > In the UK
> > a recent survey said that only 18% of people thought that tax money
> > was wisely spent.
>
> Tax isn't voluntary or a donation. The 18% who think UK tax is well
> spent are the 18% of the population who get the tax money, not the 82%
> that pay it ;)
>
> > Can we fix it?
>
> First we kill all the politicians ...
>
> > So let's say I run a business and I make 1 million euros.  I wish to
> > donate 10% of my profits to society.  But let's say I dont want that
> > money to go to wars of aggression, but rather, to the fire
> > de[department.
>
> So give it to the FD - what you do with your post-tax profits are up to
> you ;)
>
> > At this point everyone wins.  The business person is happy to make a
> > contribution.  The govt. is happy that it gets more revenue.  The
> > fire dept. is happy that it has revenue to do its work.  And
> > everything has gone to the right place in a kind of democratic way.
>
> Where does gov't come into this ? I think you're confusing 'tax' which
> you have zero control over and 'donations' which you already have 100%
> control over.
>
> Rob
>
>
> ------------------------------------------------------------------------------
> October Webinars: Code for Performance
> Free Intel webinars can help you accelerate application performance.
> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
> from
> the latest Intel processors and coprocessors. See abstracts and register >
> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
> _______________________________________________
> Bitcoin-development mailing list
> Bitcoin-development@lists•sourceforge•net
> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>
Gavin Andresen in reply to Neil Fincham permalink original

On Sun, Sep 29, 2013 at 12:28 PM, Neil Fincham <neil@asdf•co•nz> wrote:

Quoted text (3 lines)
> I subscribe to this list so I can keep up-to date with bitcoin
> development, can we keep philosophy and tax evasion out of it?
>

Yes, that's off-topic for this mailing list. Lets stick to technical issues that we can solve by writing code.

Adam Back in reply to Gavin Andresen permalink original

There are some policy decision points in the protocol (and code) that may become centralized risks or choke points that undermine the p2p nature. So the extent that those can be argued to have in principle have a technical fix, it could be quite interesting to research the necessary technology (advanced crypto, byzantine networking argument etc) that could address them. eg payee/payer blacklisting by a large group of miners and "committed transaction" proposal to address it.

However even for that type of thing I think bitcoin-dev would probably rather focus eg on something that has reached the stage of having a BIP. Eg it might be better to discuss early stage or speculative ideas on bitcointalk.org technical thread.

https://bitcointalk.org/index.php?board=6.0

taxation in particular there are examples where even the political sphere accepts significantly anonymous taxation. eg for europeans with certain types of investment in a swiss bank, the swiss bank sends however many million as a single payment across all users per european country to their passport home country (minus 25% cut for the swiss government). Perhaps such things could be possible for bitcoin. Again I think bitcoin talk would be a good place for such a discussion if that was the OP question indirectly.

Adam

On Sun, Sep 29, 2013 at 06:32:10PM +1000, Gavin Andresen wrote:

Quoted text (25 lines)
>   On Sun, Sep 29, 2013 at 12:28 PM, Neil Fincham <[1]neil@asdf•co•nz>
>   wrote:
>
>   I subscribe to this list so I can keep up-to date with bitcoin
>   development, can we keep philosophy and tax evasion out of it?
>
>   Yes, that's off-topic for this mailing list. Lets stick to technical
>   issues that we can solve by writing code.
>   --
>   --
>   Gavin Andresen
>
>References
>
>   1. mailto:neil@asdf.co.nz

>------------------------------------------------------------------------------
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>Free Intel webinars can help you accelerate application performance.
>Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most from
>the latest Intel processors and coprocessors. See abstracts and register >
>http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk

>_______________________________________________
>Bitcoin-development mailing list
>Bitcoin-development@lists•sourceforge•net
>https://lists.sourceforge.net/lists/listinfo/bitcoin-development
Melvin Carvalho in reply to Gavin Andresen permalink original

On 29 September 2013 10:32, Gavin Andresen <gavinandresen@gmail•com> wrote:

Quoted text (9 lines)
> On Sun, Sep 29, 2013 at 12:28 PM, Neil Fincham <neil@asdf•co•nz> wrote:
>
>> I subscribe to this list so I can keep up-to date with bitcoin
>> development, can we keep philosophy and tax evasion out of it?
>>
>
> Yes, that's off-topic for this mailing list. Lets stick to technical
> issues that we can solve by writing code.
>

Hi Gavin, apologies if my post came across as off-topic. My aim was to present a use case, and ask whether or not it was technically feasible using smart contracts.

Quoted text (19 lines)
>
> --
> --
> Gavin Andresen
>
>
> ------------------------------------------------------------------------------
> October Webinars: Code for Performance
> Free Intel webinars can help you accelerate application performance.
> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
> from
> the latest Intel processors and coprocessors. See abstracts and register >
> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
> _______________________________________________
> Bitcoin-development mailing list
> Bitcoin-development@lists•sourceforge•net
> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>
>
Melvin Carvalho in reply to Neil Fincham permalink original

On 29 September 2013 04:28, Neil Fincham <neil@asdf•co•nz> wrote:

Quoted text (3 lines)
> I subscribe to this list so I can keep up-to date with bitcoin
> development, can we keep philosophy and tax evasion out of it?
>

Hi Neil, perhaps I didnt present the use case clearly. It was not about evasion, it was about voluntary donations going to the correct place, being verified by an oracle. I dont wish to stray off topic, so I'll leave it at that.

Quoted text (87 lines)
>
> Neil
>
>
> On 29 September 2013 09:15, <rob.golding@astutium•com> wrote:
>
>> > But the regulatory environment in many geographical regions in
>> > uncertain.   Do we need to pay capital gains?   Do we need to pay a
>> > sales taxs etc. etc.
>>
>> In most regions it's not only 'simple' but trivial - BTC is just
>> 'another currency' and accounted for exactly the same way - it doens't
>> matter if you sell your hose for GBP, USD, EUR, BTC or sacks of Pig
>> Dung, you still have a GBP tax issue ...
>>
>> > So my idea is to voluntarily pre empt legislation by giving donations
>> > to govt (aka taxation) for bitcoin service providers.
>>
>> You want to volunteer to pay tax ? I'd suggest stronger medication ...
>>
>> > However, there is something of a problem with voluntary donations.
>> > Most people are not satisfied with the way they are spent.
>>
>> 80% of 'donations' end up spent on 'adminsitration' and not what they
>> were donated for, this is a 'greed' issue not a 'currency' issue.
>>
>> > In the UK
>> > a recent survey said that only 18% of people thought that tax money
>> > was wisely spent.
>>
>> Tax isn't voluntary or a donation. The 18% who think UK tax is well
>> spent are the 18% of the population who get the tax money, not the 82%
>> that pay it ;)
>>
>> > Can we fix it?
>>
>> First we kill all the politicians ...
>>
>> > So let's say I run a business and I make 1 million euros.  I wish to
>> > donate 10% of my profits to society.  But let's say I dont want that
>> > money to go to wars of aggression, but rather, to the fire
>> > de[department.
>>
>> So give it to the FD - what you do with your post-tax profits are up to
>> you ;)
>>
>> > At this point everyone wins.  The business person is happy to make a
>> > contribution.  The govt. is happy that it gets more revenue.  The
>> > fire dept. is happy that it has revenue to do its work.  And
>> > everything has gone to the right place in a kind of democratic way.
>>
>> Where does gov't come into this ? I think you're confusing 'tax' which
>> you have zero control over and 'donations' which you already have 100%
>> control over.
>>
>> Rob
>>
>>
>> ------------------------------------------------------------------------------
>> October Webinars: Code for Performance
>> Free Intel webinars can help you accelerate application performance.
>> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
>> from
>> the latest Intel processors and coprocessors. See abstracts and register >
>>
>> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
>> _______________________________________________
>> Bitcoin-development mailing list
>> Bitcoin-development@lists•sourceforge•net
>> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>>
>
>
>
> ------------------------------------------------------------------------------
> October Webinars: Code for Performance
> Free Intel webinars can help you accelerate application performance.
> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
> from
> the latest Intel processors and coprocessors. See abstracts and register >
> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
> _______________________________________________
> Bitcoin-development mailing list
> Bitcoin-development@lists•sourceforge•net
> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>
>
Mike Hearn in reply to Melvin Carvalho permalink original

This kind of thing is better discussed in the dev forum of bitcointalk.org

On Sun, Sep 29, 2013 at 11:46 AM, Melvin Carvalho <melvincarvalho@gmail•com>wrote:

Quoted text (119 lines)
>
>
>
> On 29 September 2013 04:28, Neil Fincham <neil@asdf•co•nz> wrote:
>
>> I subscribe to this list so I can keep up-to date with bitcoin
>> development, can we keep philosophy and tax evasion out of it?
>>
>
> Hi Neil, perhaps I didnt present the use case clearly.  It was not about
> evasion, it was about voluntary donations going to the correct place, being
> verified by an oracle.  I dont wish to stray off topic, so I'll leave it at
> that.
>
>
>>
>> Neil
>>
>>
>> On 29 September 2013 09:15, <rob.golding@astutium•com> wrote:
>>
>>> > But the regulatory environment in many geographical regions in
>>> > uncertain.   Do we need to pay capital gains?   Do we need to pay a
>>> > sales taxs etc. etc.
>>>
>>> In most regions it's not only 'simple' but trivial - BTC is just
>>> 'another currency' and accounted for exactly the same way - it doens't
>>> matter if you sell your hose for GBP, USD, EUR, BTC or sacks of Pig
>>> Dung, you still have a GBP tax issue ...
>>>
>>> > So my idea is to voluntarily pre empt legislation by giving donations
>>> > to govt (aka taxation) for bitcoin service providers.
>>>
>>> You want to volunteer to pay tax ? I'd suggest stronger medication ...
>>>
>>> > However, there is something of a problem with voluntary donations.
>>> > Most people are not satisfied with the way they are spent.
>>>
>>> 80% of 'donations' end up spent on 'adminsitration' and not what they
>>> were donated for, this is a 'greed' issue not a 'currency' issue.
>>>
>>> > In the UK
>>> > a recent survey said that only 18% of people thought that tax money
>>> > was wisely spent.
>>>
>>> Tax isn't voluntary or a donation. The 18% who think UK tax is well
>>> spent are the 18% of the population who get the tax money, not the 82%
>>> that pay it ;)
>>>
>>> > Can we fix it?
>>>
>>> First we kill all the politicians ...
>>>
>>> > So let's say I run a business and I make 1 million euros.  I wish to
>>> > donate 10% of my profits to society.  But let's say I dont want that
>>> > money to go to wars of aggression, but rather, to the fire
>>> > de[department.
>>>
>>> So give it to the FD - what you do with your post-tax profits are up to
>>> you ;)
>>>
>>> > At this point everyone wins.  The business person is happy to make a
>>> > contribution.  The govt. is happy that it gets more revenue.  The
>>> > fire dept. is happy that it has revenue to do its work.  And
>>> > everything has gone to the right place in a kind of democratic way.
>>>
>>> Where does gov't come into this ? I think you're confusing 'tax' which
>>> you have zero control over and 'donations' which you already have 100%
>>> control over.
>>>
>>> Rob
>>>
>>>
>>> ------------------------------------------------------------------------------
>>> October Webinars: Code for Performance
>>> Free Intel webinars can help you accelerate application performance.
>>> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
>>> from
>>> the latest Intel processors and coprocessors. See abstracts and register
>>> >
>>>
>>> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
>>> _______________________________________________
>>> Bitcoin-development mailing list
>>> Bitcoin-development@lists•sourceforge•net
>>> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>>>
>>
>>
>>
>> ------------------------------------------------------------------------------
>> October Webinars: Code for Performance
>> Free Intel webinars can help you accelerate application performance.
>> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
>> from
>> the latest Intel processors and coprocessors. See abstracts and register >
>>
>> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
>> _______________________________________________
>> Bitcoin-development mailing list
>> Bitcoin-development@lists•sourceforge•net
>> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>>
>>
>
>
> ------------------------------------------------------------------------------
> October Webinars: Code for Performance
> Free Intel webinars can help you accelerate application performance.
> Explore tips for MPI, OpenMP, advanced profiling, and more. Get the most
> from
> the latest Intel processors and coprocessors. See abstracts and register >
> http://pubads.g.doubleclick.net/gampad/clk?id=60133471&iu=/4140/ostg.clktrk
> _______________________________________________
> Bitcoin-development mailing list
> Bitcoin-development@lists•sourceforge•net
> https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>
>
Mark Friedenbach in reply to Adam Back permalink original

This kind of thing - providing external audits of customer accounts without revealing private data - would be generally useful beyond taxation. If you have any solutions, I'd be interested to hear them (although bitcoin-dev is probably not the right place yet).

Mark

On 9/29/13 2:37 AM, Adam Back wrote:

Quoted text (8 lines)
> taxation in particular there are examples where even the political sphere
> accepts significantly anonymous taxation.  eg for europeans with certain
> types of investment in a swiss bank, the swiss bank sends however many
> million as a single payment across all users per european country to their
> passport home country (minus 25% cut for the swiss government).  Perhaps
> such things could be possible for bitcoin.  Again I think bitcoin talk would
> be a good place for such a discussion if that was the OP question
> indirectly.
Adam Back in reply to Mark Friedenbach permalink original

On Sun, Sep 29, 2013 at 10:49:00AM -0700, Mark Friedenbach wrote:

Quoted text (4 lines)
>This kind of thing - providing external audits of customer accounts
>without revealing private data - would be generally useful beyond
>taxation. If you have any solutions, I'd be interested to hear them
>(although bitcoin-dev is probably not the right place yet).

Thanks for providing the impetus to write down the current state, the efficient version of which I only figured out a few days ago :)

I have been researching this for a few months on and off, because it seems like an interesting construct in its own right, a different aspect of payment privacy (eg for auditable but commercial sensistive information) but also that other than its direct use it may enable some features that we have not thought of yet.

I moved it to bitcointalk:

https://bitcointalk.org/index.php?topic=305791.new#new

Its efficient finally (after many dead ends): approximately 2x cost of current in terms of coin size and coin verification cost, however it also gives some perf advantages back in a different way - necessary changes to schnorr (EC version of Schnorr based proofs) allow n of n multiparty sigs, or k of n multiparty sigs for the verification cost and signature size of one pair of ECS signatures, for n > 2 its a space and efficiency improvement over current bitcoin.

Adam

Adam Back in reply to Adam Back permalink original

Err actually not (efficient) I made a mistake that came out when I started writing it up about how the t parameter in the proof relates to bitcoin precision and coin representation (I thought t=2, but t=51). Damn! Back to the not so efficient version (which is more zerocoin-esque in size/cost), or the more experimental Schoenmaker non-standard p, q non EC one, or other creative ideas to change the coin representation to simplify the proof (of which this was a failed attempt). See the bitcointalk thread for details.

https://bitcointalk.org/index.php?topic=305791.new#new

Adam

On Tue, Oct 01, 2013 at 04:26:03PM +0200, Adam Back wrote:

Quoted text (28 lines)
>On Sun, Sep 29, 2013 at 10:49:00AM -0700, Mark Friedenbach wrote:
>>This kind of thing - providing external audits of customer accounts
>>without revealing private data - would be generally useful beyond
>>taxation. If you have any solutions, I'd be interested to hear them
>>(although bitcoin-dev is probably not the right place yet).
>
>Thanks for providing the impetus to write down the current state, the
>efficient version of which I only figured out a few days ago :)
>
>I have been researching this for a few months on and off, because it seems
>like an interesting construct in its own right, a different aspect of
>payment privacy (eg for auditable but commercial sensistive information) but
>also that other than its direct use it may enable some features that we have
>not thought of yet.
>
>I moved it to bitcointalk:
>
>https://bitcointalk.org/index.php?topic=305791.new#new
>
>Its efficient finally (after many dead ends): approximately 2x cost of
>current in terms of coin size and coin verification cost, however it also
>gives some perf advantages back in a different way - necessary changes to
>schnorr (EC version of Schnorr based proofs) allow n of n multiparty sigs,
>or k of n multiparty sigs for the verification cost and signature size of
>one pair of ECS signatures, for n > 2 its a space and efficiency improvement
>over current bitcoin.
>
>Adam
Adam Back in reply to Adam Back permalink original

An update on the homomorphic coins, some more math validation & a test implementation needs to be done, but a surprisingly good outcome so far of predicted 2.5kB homomorphic valued coin. Only coin splitting has to incur the 2.5kB range proof. Coin adding, full spending and mining is "free", because adding existing range proofed and validated coins cant overflow by definition (21 mil coin cap). You can also (obviously I guess) add a homomorphicaly encrypted "0" value to a few other peoples coin balance to get a kind of taint mitigation.

https://bitcointalk.org/index.php?topic=305791.msg3294618#msg3294618

Adam

On Tue, Oct 01, 2013 at 09:11:43PM +0200, Adam Back wrote:

Quoted text (41 lines)
>Err actually not (efficient) I made a mistake that came out when I started
>writing it up about how the t parameter in the proof relates to bitcoin
>precision and coin representation (I thought t=2, but t=51).  Damn!  Back to
>the not so efficient version (which is more zerocoin-esque in size/cost), or
>the more experimental Schoenmaker non-standard p, q non EC one, or other
>creative ideas to change the coin representation to simplify the proof (of
>which this was a failed attempt).  See the bitcointalk thread for details.
>
>https://bitcointalk.org/index.php?topic=305791.new#new
>
>Adam
>
>On Tue, Oct 01, 2013 at 04:26:03PM +0200, Adam Back wrote:
>>On Sun, Sep 29, 2013 at 10:49:00AM -0700, Mark Friedenbach wrote:
>>>This kind of thing - providing external audits of customer accounts
>>>without revealing private data - would be generally useful beyond
>>>taxation. If you have any solutions, I'd be interested to hear them
>>>(although bitcoin-dev is probably not the right place yet).
>>
>>Thanks for providing the impetus to write down the current state, the
>>efficient version of which I only figured out a few days ago :)
>>
>>I have been researching this for a few months on and off, because it seems
>>like an interesting construct in its own right, a different aspect of
>>payment privacy (eg for auditable but commercial sensistive information) but
>>also that other than its direct use it may enable some features that we have
>>not thought of yet.
>>
>>I moved it to bitcointalk:
>>
>>https://bitcointalk.org/index.php?topic=305791.new#new
>>
>>Its efficient finally (after many dead ends): approximately 2x cost of
>>current in terms of coin size and coin verification cost, however it also
>>gives some perf advantages back in a different way - necessary changes to
>>schnorr (EC version of Schnorr based proofs) allow n of n multiparty sigs,
>>or k of n multiparty sigs for the verification cost and signature size of
>>one pair of ECS signatures, for n > 2 its a space and efficiency improvement
>>over current bitcoin.
>>
>>Adam