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From: Mark Friedenbach <mark@friedenbach.org>
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To: Ben Kloester <benkloester@gmail.com>, bitcoin-dev@lists.linuxfoundation.org
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Subject: Re: [bitcoin-dev] New difficulty algorithm needed for SegWit2x
	fork? (reformatted text)
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You phrase the question as if =81gdeploying a hard fork to bitcoin=81h would=
 protect the bitcoin chain from the attack. But that=81fs not what happens. I=
f you are hard forking from the perspective of deployed nodes, you are an di=
fferent ledger, regardless of circumstance or who did it. Instead of there b=
eing one altcoin fighting to take hashpower from bitcoin, there=81fd now be 2=
. It is not at all obvious to me that this would be a better outcome.

If that isn=81ft reason enough, changing the difficulty adjustment algorithm=
 doesn=81ft solve the underlying issue=81\hashpower not being aligned with u=
sers=81f (or even its owners=81f) interests. Propose a fix to the underlying=
 cause and that might be worth considering, if it passes peer review. But wi=
thout that you=81fd just be making the state of affairs arguably worse.

And so yes, *if* this incentive problem can=81ft be solved, and the unaltere=
d bitcoin chain dies from disuse after suffering a hashpower attack, especia=
lly a centrally and/or purposefully instigated one, then bitcoin would be fa=
iled a failed project.

The thesis (and value proposition) of bitcoin is that a particular category o=
f economic incentives can be used to solve the problem of creating a secure t=
rustess ledger. If those incentives failed, then he thesis of bitcoin would h=
ave been experimentally falsified, yes. Maybe the incentives can be made bet=
ter to save the project, but we=81fd have to fix the source of the problem n=
ot the symptoms.

> On Oct 10, 2017, at 6:44 PM, Ben Kloester <benkloester@gmail.com> wrote:
>=20
> Mark, this seems an awful lot like an answer of "no", to my question "Is t=
here a contingency plan in the case that the incumbent chain following the B=
itcoin Core consensus rules comes under 51% attack?" - is this a correct int=
erpretation?
>=20
> In fact, beyond a no, it seems like a "no, and I disagree with the idea of=
 creating one".
>=20
> So if Bitcoin comes under successful 51%, the project, in your vision, has=
 simply failed?
>=20
> Ben Kloester
>=20
>=20
>> On 10 October 2017 at 13:19, Mark Friedenbach via bitcoin-dev <bitcoin-de=
v@lists.linuxfoundation.org> wrote:
>> The problem of fast acting but non vulnerable difficulty adjustment algor=
ithms is interesting. I would certainly like to see this space further explo=
red, and even have some ideas myself.
>>=20
>> However without commenting on the technical merits of this specific propo=
sal, I think it must be said upfront that the stated goal is not good. The l=
argest technical concern (ignoring governance) over B2X is that it is a rush=
ed, poorly reviewed hard fork. Hard forks should not be rushed, and they sho=
uld receive more than the usual level of expert and community review.
>>=20
>> I=81fm that light, doing an even more rushed hard fork on an even newer i=
dea with even less review would be hypocritical at best. I would suggest ref=
raming as a hardfork wishlist research problem for the next properly planned=
 hard fork, if one occurs. You might also find the hardfork research group a=
 more accommodating venue for this discussion:
>>=20
>> https://bitcoinhardforkresearch.github.io/
>>=20
>>> On Oct 9, 2017, at 3:57 PM, Scott Roberts via bitcoin-dev <bitcoin-dev@l=
ists.linuxfoundation.org> wrote:
>>>=20
>>> Sorry, my previous email did not have the plain text I intended.
>>>=20
>>> Background:=20
>>>=20
>>> The bitcoin difficulty algorithm does not seem to be a good one. If ther=
e=20
>>> is a fork due to miners seeking maximum profit without due regard to=20
>>> security, users, and nodes, the "better" coin could end up being the=20
>>> minority chain. If 90% of hashrate is really going to at least initially=
 go=20
>>> towards using SegWit2x, BTC would face 10x delays in confirmations=20
>>> until the next difficulty adjustment, negatively affecting its price rel=
ative=20
>>> to BTC1, causing further delays from even more miner abandonment=20
>>> (until the next adjustment). The 10% miners remaining on BTC do not=20
>>> inevitably lose by staying to endure 10x delays because they have 10x=20=

>>> less competition, and the same situation applies to BTC1 miners. If the=20=

>>> prices are the same and stable, all seems well for everyone, other thing=
s=20
>>> aside. But if the BTC price does not fall to reflect the decreased hashr=
ate,=20
>>> he situation seems to be a big problem for both coins: BTC1 miners will=20=

>>> jump back to BTC when the difficulty adjustment occurs, initiating a=20
>>> potentially never-ending oscillation between the two coins, potentially=20=

>>> worse than what BCH is experiencing.  They will not issue coins too fast=
=20
>>> like BCH because that is a side effect of the asymmetry in BCH's rise an=
d=20
>>> fall algorithm.=20
>>>=20
>>> Solution:=20
>>>=20
>>> Hard fork to implement a new difficulty algorithm that uses a simple rol=
ling=20
>>> average with a much smaller window.  Many small coins have done this as=20=

>>> a way to stop big miners from coming on and then suddenly leaving, leavi=
ng=20
>>> constant miners stuck with a high difficulty for the rest of a (long) av=
eraging=20
>>> window.  Even better, adjust the reward based on recent solvetimes to=20=

>>> motivate more mining (or less) if the solvetimes are too slow (or too fa=
st).=20
>>> This will keep keep coin issuance rate perfectly on schedule with real t=
ime.=20
>>>=20
>>> I recommend the following for Bitcoin, as fast, simple, and better than a=
ny=20
>>> other difficulty algorithm I'm aware of.  This is the result of a lot of=
 work the=20
>>> past year.=20
>>>=20
>>> =3D=3D=3D Begin difficulty algorithm =3D=3D=3D=20
>>> # Zawy v6 difficulty algorithm (modified for bitcoin)=20
>>> # Unmodified Zawy v6 for alt coins:=20
>>> # http://zawy1.blogspot.com/2017/07/best-difficulty-algorithm-zawy-v1b.h=
tml=20
>>> # All my failed attempts at something better:=20
>>> # https://github.com/seredat/karbowanec/commit/231db5270acb2e673a641a180=
0be910ce345668a=20
>>> #=20
>>> # Keep negative solvetimes to correct bad timestamps.=20
>>> # Do not be tempted to use:=20
>>> # next_D =3D sum(last N Ds) * T / [max(last N TSs) - min(last N TSs];=20=

>>> # ST=3D Solvetime, TS =3D timestamp=20
>>>=20
>>> # set constants until next hard fork:=20
>>>=20
>>> T=3D600; # coin's TargetSolvetime=20
>>> N=3D30; # Averaging window. Smoother than N=3D15, faster response than N=
=3D60.=20
>>> X=3D5;=20
>>> limit =3D X^(2/N); # limit rise and fall in case of timestamp manipulati=
on=20
>>> adjust =3D 1/(1+0.67/N);  # keeps avg solvetime on track=20
>>>=20
>>> # begin difficulty algorithm=20
>>>=20
>>> avg_ST=3D0; avg_D=3D0;=20
>>> for ( i=3Dheight;  i > height-N;  i--) {  # go through N most recent blo=
cks=20
>>> avg_ST +=3D (TS[i] - TS[i-1]) / N;=20
>>> avg_D +=3D D[i]/N;=20
>>> }=20
>>> avg_ST =3D T*limit if avg_ST > T*limit;=20
>>> avg_ST =3D T/limit if avg_ST < T/limit;=20
>>>=20
>>> next_D =3D avg_D * T / avg_ST * adjust;=20
>>>=20
>>> # Tim Olsen suggested changing reward to protect against hash attacks.=20=

>>> # Karbowanek coin suggested something similar.=20
>>> # I could not find anything better than the simplest idea below.=20
>>> # It was a great surprise that coin issuance rate came out perfect.=20
>>> # BaseReward =3D coins per block=20
>>>=20
>>> next_reward =3D BaseReward * avg_ST / T;=20
>>>=20
>>> =3D=3D=3D=3D=3D=3D=3D end algo =3D=3D=3D=3D=20
>>>=20
>>> Due to the limit and keeping negative solvetimes in a true average,=20
>>> timestamp errors resulting in negative solvetimes are corrected in the n=
ext=20
>>> block. Otherwise, one would need to do like Zcash and cause a 5-block=20=

>>> delay in the response by resorting to the median of past 11 blocks (MPT)=
=20
>>> as the most recent timestamp, offsetting the timestamps from their=20
>>> corresponding difficulties by 5 blocks. (it does not cause an averaging=20=

>>> problem, but it does cause a 5-block delay in the response.)
>>> _______________________________________________
>>> bitcoin-dev mailing list
>>> bitcoin-dev@lists.linuxfoundation.org
>>> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>>=20
>> _______________________________________________
>> bitcoin-dev mailing list
>> bitcoin-dev@lists.linuxfoundation.org
>> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>>=20
>=20

--Apple-Mail-69F5F7A5-40A1-423D-832C-7D76E4A60CA5
Content-Type: text/html;
	charset=utf-8
Content-Transfer-Encoding: quoted-printable

<html><head><meta http-equiv=3D"content-type" content=3D"text/html; charset=3D=
utf-8"></head><body dir=3D"auto">You phrase the question as if =E2=80=9Cdepl=
oying a hard fork to bitcoin=E2=80=9D would protect the bitcoin chain from t=
he attack. But that=E2=80=99s not what happens. If you are hard forking from=
 the perspective of deployed nodes, you are an different ledger, regardless o=
f circumstance or who did it. Instead of there being one altcoin fighting to=
 take hashpower from bitcoin, there=E2=80=99d now be 2. It is not at all obv=
ious to me that this would be a better outcome.<div><br></div><div>If that i=
sn=E2=80=99t reason enough, changing the difficulty adjustment algorithm doe=
sn=E2=80=99t solve the underlying issue=E2=80=94hashpower not being aligned w=
ith users=E2=80=99 (or even its owners=E2=80=99) interests. Propose a fix to=
 the underlying cause and that might be worth considering, if it passes peer=
 review. But without that you=E2=80=99d just be making the state of affairs a=
rguably worse.</div><div><br></div><div>And so yes, *if* this incentive prob=
lem can=E2=80=99t be solved, and the unaltered bitcoin chain dies from disus=
e after suffering a hashpower attack, especially a centrally and/or purposef=
ully instigated one, then bitcoin would be failed a failed project.</div><di=
v><br></div><div>The thesis (and value proposition) of bitcoin is that a par=
ticular category of economic incentives can be used to solve the problem of c=
reating a secure trustess ledger. If those incentives failed, then he thesis=
 of bitcoin would have been experimentally falsified, yes. Maybe the incenti=
ves can be made better to save the project, but we=E2=80=99d have to fix the=
 source of the problem not the symptoms.</div><div><div><br>On Oct 10, 2017,=
 at 6:44 PM, Ben Kloester &lt;<a href=3D"mailto:benkloester@gmail.com">benkl=
oester@gmail.com</a>&gt; wrote:<br><br></div><blockquote type=3D"cite"><div>=
<div dir=3D"ltr">Mark, this seems an awful lot like an answer of "no", to my=
 question "<span style=3D"font-size:12.8px">Is there a contingency plan in t=
he case that the incumbent chain following the Bitcoin Core consensus rules c=
omes under 51% attack?" - is this a correct interpretation?</span><div><span=
 style=3D"font-size:12.8px"><br></span></div><div><span style=3D"font-size:1=
2.8px">In fact, beyond a no, it seems like a "no, and I disagree with the id=
ea of creating one".</span></div><div><span style=3D"font-size:12.8px"><br><=
/span></div><div><span style=3D"font-size:12.8px">So if Bitcoin comes under s=
uccessful 51%, the project, in your vision, has simply failed?</span></div><=
/div><div class=3D"gmail_extra"><br clear=3D"all"><div><div class=3D"gmail_s=
ignature" data-smartmail=3D"gmail_signature"><p><b>Ben Kloester</b><br><span=
 style=3D"font-size:10.0pt;color:#595959"></span></p></div></div>
<br><div class=3D"gmail_quote">On 10 October 2017 at 13:19, Mark Friedenbach=
 via bitcoin-dev <span dir=3D"ltr">&lt;<a href=3D"mailto:bitcoin-dev@lists.l=
inuxfoundation.org" target=3D"_blank">bitcoin-dev@lists.linuxfoundation.org<=
/a>&gt;</span> wrote:<br><blockquote class=3D"gmail_quote" style=3D"margin:0=
 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir=3D"auto">The=
 problem of fast acting but non vulnerable difficulty adjustment algorithms i=
s interesting. I would certainly like to see this space further explored, an=
d even have some ideas myself.<div><br></div><div>However without commenting=
 on the technical merits of this specific proposal, I think it must be said u=
pfront that the stated goal is not good. The largest technical concern (igno=
ring governance) over B2X is that it is a rushed, poorly reviewed hard fork.=
 Hard forks should not be rushed, and they should receive more than the usua=
l level of expert and community review.</div><div><br></div><div>I=E2=80=99m=
 that light, doing an even more rushed hard fork on an even newer idea with e=
ven less review would be hypocritical at best. I would suggest reframing as a=
 hardfork wishlist research problem for the next properly planned hard fork,=
 if one occurs. You might also find the hardfork research group a more accom=
modating venue for this discussion:</div><div><br></div><div><a href=3D"http=
s://bitcoinhardforkresearch.github.io/" target=3D"_blank">https://<wbr>bitco=
inhardforkresearch.<wbr>github.io/</a></div><div><div class=3D"h5"><div><div=
><br>On Oct 9, 2017, at 3:57 PM, Scott Roberts via bitcoin-dev &lt;<a href=3D=
"mailto:bitcoin-dev@lists.linuxfoundation.org" target=3D"_blank">bitcoin-dev=
@lists.<wbr>linuxfoundation.org</a>&gt; wrote:<br><br></div><blockquote type=
=3D"cite"><div><span>Sorry, my previous email did not have the plain text I i=
ntended.</span><br><span></span><br><span>Background: </span><br><span></spa=
n><br><span>The bitcoin difficulty algorithm does not seem to be a good one.=
 If there </span><br><span>is a fork due to miners seeking maximum profit wi=
thout due regard to </span><br><span>security, users, and nodes, the "better=
" coin could end up being the </span><br><span>minority chain. If 90% of has=
hrate is really going to at least initially go </span><br><span>towards usin=
g SegWit2x, BTC would face 10x delays in confirmations </span><br><span>unti=
l the next difficulty adjustment, negatively affecting its price relative </=
span><br><span>to BTC1, causing further delays from even more miner abandonm=
ent </span><br><span>(until the next adjustment). The 10% miners remaining o=
n BTC do not </span><br><span>inevitably lose by staying to endure 10x delay=
s because they have 10x </span><br><span>less competition, and the same situ=
ation applies to BTC1 miners. If the </span><br><span>prices are the same an=
d stable, all seems well for everyone, other things </span><br><span>aside. B=
ut if the BTC price does not fall to reflect the decreased hashrate, </span>=
<br><span>he situation seems to be a big problem for both coins: BTC1 miners=
 will </span><br><span>jump back to BTC when the difficulty adjustment occur=
s, initiating a </span><br><span>potentially never-ending oscillation betwee=
n the two coins, potentially </span><br><span>worse than what BCH is experie=
ncing.&nbsp; They will not issue coins too fast </span><br><span>like BCH be=
cause that is a side effect of the asymmetry in BCH's rise and </span><br><s=
pan>fall algorithm. </span><br><span></span><br><span>Solution: </span><br><=
span></span><br><span>Hard fork to implement a new difficulty algorithm that=
 uses a simple rolling </span><br><span>average with a much smaller window.&=
nbsp; Many small coins have done this as </span><br><span>a way to stop big m=
iners from coming on and then suddenly leaving, leaving </span><br><span>con=
stant miners stuck with a high difficulty for the rest of a (long) averaging=
 </span><br><span>window.&nbsp; Even better, adjust the reward based on rece=
nt solvetimes to </span><br><span>motivate more mining (or less) if the solv=
etimes are too slow (or too fast). </span><br><span>This will keep keep coin=
 issuance rate perfectly on schedule with real time. </span><br><span></span=
><br><span>I recommend the following for Bitcoin, as fast, simple, and bette=
r than any </span><br><span>other difficulty algorithm I'm aware of.&nbsp; T=
his is the result of a lot of work the </span><br><span>past year. </span><b=
r><span></span><br><span>=3D=3D=3D Begin difficulty algorithm =3D=3D=3D </sp=
an><br><span># Zawy v6 difficulty algorithm (modified for bitcoin) </span><b=
r><span># Unmodified Zawy v6 for alt coins: </span><br><span># <a href=3D"ht=
tp://zawy1.blogspot.com/2017/07/best-difficulty-algorithm-zawy-v1b.html" tar=
get=3D"_blank">http://zawy1.blogspot.com/<wbr>2017/07/best-difficulty-<wbr>a=
lgorithm-zawy-v1b.html</a> </span><br><span># All my failed attempts at some=
thing better: </span><br><span># <a href=3D"https://github.com/seredat/karbo=
wanec/commit/231db5270acb2e673a641a1800be910ce345668a" target=3D"_blank">htt=
ps://github.com/seredat/<wbr>karbowanec/commit/<wbr>231db5270acb2e673a641a18=
00be91<wbr>0ce345668a</a> </span><br><span># </span><br><span># Keep negativ=
e solvetimes to correct bad timestamps. </span><br><span># Do not be tempted=
 to use: </span><br><span># next_D =3D sum(last N Ds) * T / [max(last N TSs)=
 - min(last N TSs]; </span><br><span># ST=3D Solvetime, TS =3D timestamp </s=
pan><br><span></span><br><span># set constants until next hard fork: </span>=
<br><span></span><br><span>T=3D600; # coin's TargetSolvetime </span><br><spa=
n>N=3D30; # Averaging window. Smoother than N=3D15, faster response than N=3D=
60. </span><br><span>X=3D5; </span><br><span>limit =3D X^(2/N); # limit rise=
 and fall in case of timestamp manipulation </span><br><span>adjust =3D 1/(1=
+0.67/N); &nbsp;# keeps avg solvetime on track </span><br><span></span><br><=
span># begin difficulty algorithm </span><br><span></span><br><span>avg_ST=3D=
0; avg_D=3D0; </span><br><span>for ( i=3Dheight; &nbsp;i &gt; height-N; &nbs=
p;i--) { &nbsp;# go through N most recent blocks </span><br><span>avg_ST +=3D=
 (TS[i] - TS[i-1]) / N; </span><br><span>avg_D +=3D D[i]/N; </span><br><span=
>} </span><br><span>avg_ST =3D T*limit if avg_ST &gt; T*limit; </span><br><s=
pan>avg_ST =3D T/limit if avg_ST &lt; T/limit; </span><br><span></span><br><=
span>next_D =3D avg_D * T / avg_ST * adjust; </span><br><span></span><br><sp=
an># Tim Olsen suggested changing reward to protect against hash attacks. </=
span><br><span># Karbowanek coin suggested something similar. </span><br><sp=
an># I could not find anything better than the simplest idea below. </span><=
br><span># It was a great surprise that coin issuance rate came out perfect.=
 </span><br><span># BaseReward =3D coins per block </span><br><span></span><=
br><span>next_reward =3D BaseReward * avg_ST / T; </span><br><span></span><b=
r><span>=3D=3D=3D=3D=3D=3D=3D end algo =3D=3D=3D=3D </span><br><span></span>=
<br><span>Due to the limit and keeping negative solvetimes in a true average=
, </span><br><span>timestamp errors resulting in negative solvetimes are cor=
rected in the next </span><br><span>block. Otherwise, one would need to do l=
ike Zcash and cause a 5-block </span><br><span>delay in the response by reso=
rting to the median of past 11 blocks (MPT) </span><br><span>as the most rec=
ent timestamp, offsetting the timestamps from their </span><br><span>corresp=
onding difficulties by 5 blocks. (it does not cause an averaging </span><br>=
<span>problem, but it does cause a 5-block delay in the response.)</span><br=
><span>______________________________<wbr>_________________</span><br><span>=
bitcoin-dev mailing list</span><br><span><a href=3D"mailto:bitcoin-dev@lists=
.linuxfoundation.org" target=3D"_blank">bitcoin-dev@lists.<wbr>linuxfoundati=
on.org</a></span><br><span><a href=3D"https://lists.linuxfoundation.org/mail=
man/listinfo/bitcoin-dev" target=3D"_blank">https://lists.linuxfoundation.<w=
br>org/mailman/listinfo/bitcoin-<wbr>dev</a></span><br></div></blockquote></=
div></div></div></div><br>______________________________<wbr>_______________=
__<br>
bitcoin-dev mailing list<br>
<a href=3D"mailto:bitcoin-dev@lists.linuxfoundation.org">bitcoin-dev@lists.<=
wbr>linuxfoundation.org</a><br>
<a href=3D"https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev" r=
el=3D"noreferrer" target=3D"_blank">https://lists.linuxfoundation.<wbr>org/m=
ailman/listinfo/bitcoin-<wbr>dev</a><br>
<br></blockquote></div><br></div>
</div></blockquote></div></body></html>=

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