Byzantine Fault Tolerance Threshold of Bitcoin: 1/2 or 1/3?Numerical integration tolerance pitfallsAre Pandemic chain reactions confluent? (vertex spills weight to neighbors at threshold, once)

Do I need to convey a moral for each of my blog post?

Why is this tree refusing to shed its dead leaves?

Single word to change groups

Homology of the fiber

How to test the sharpness of a knife?

Weird lines in Microsoft Word

Friend wants my recommendation but I don't want to give it to him

Animating wave motion in water

Does convergence of polynomials imply that of its coefficients?

Air travel with refrigerated insulin

Nested Dynamic SOQL Query

Does the Shadow Magic sorcerer's Eyes of the Dark feature work on all Darkness spells or just his/her own?

UK Tourist Visa- Enquiry

Emojional cryptic crossword

Should a narrator ever describe things based on a characters view instead of fact?

Asserting that Atheism and Theism are both faith based positions

Which partition to make active?

Have the tides ever turned twice on any open problem?

Do I need an EFI partition for each 18.04 ubuntu I have on my HD?

How old is Nick Fury?

Is this Pascal's Matrix?

Symbolism of 18 Journeyers

Gauss brackets with double vertical lines

Did Nintendo change its mind about 68000 SNES?



Byzantine Fault Tolerance Threshold of Bitcoin: 1/2 or 1/3?


Numerical integration tolerance pitfallsAre Pandemic chain reactions confluent? (vertex spills weight to neighbors at threshold, once)













0












$begingroup$


Although, this question is related to the Bitcoin network; however, its calculation is more relative to the Mathematics. So, let's bring it up here:



According to this answer: https://bitcoin.stackexchange.com/a/58908/41513 a Byzantine Fault Tolerant (BFT) consensus threshold is 1/3.



On the other hand, there is a common belief that Bitcoin network is secure till majority of mining power (i.e. more than 1/2) is honest, that means Byzantine Fault Tolerant threshold of Bitcoin network is 1/2.



Which threshold is correct? 1/3 or 1/2 ?




Note: The proof-of-work (PoW) that is used in the Bitcoin consensus is a Poisson process.



Useful references:



https://en.wikipedia.org/wiki/Byzantine_fault



https://medium.com/loom-network/understanding-blockchain-fundamentals-part-1-byzantine-fault-tolerance-245f46fe8419



http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.126.9525&rep=rep1&type=pdf










share|cite|improve this question









$endgroup$







  • 1




    $begingroup$
    That "common belief" is out-dated. It has been know for a while that you don't need a majority. There is some debate about this, but then there is an article titled Why Selfish miners do not exist and never will that was posted a month before an alleged selfish mining attack.
    $endgroup$
    – Derek Elkins
    Mar 13 at 20:31















0












$begingroup$


Although, this question is related to the Bitcoin network; however, its calculation is more relative to the Mathematics. So, let's bring it up here:



According to this answer: https://bitcoin.stackexchange.com/a/58908/41513 a Byzantine Fault Tolerant (BFT) consensus threshold is 1/3.



On the other hand, there is a common belief that Bitcoin network is secure till majority of mining power (i.e. more than 1/2) is honest, that means Byzantine Fault Tolerant threshold of Bitcoin network is 1/2.



Which threshold is correct? 1/3 or 1/2 ?




Note: The proof-of-work (PoW) that is used in the Bitcoin consensus is a Poisson process.



Useful references:



https://en.wikipedia.org/wiki/Byzantine_fault



https://medium.com/loom-network/understanding-blockchain-fundamentals-part-1-byzantine-fault-tolerance-245f46fe8419



http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.126.9525&rep=rep1&type=pdf










share|cite|improve this question









$endgroup$







  • 1




    $begingroup$
    That "common belief" is out-dated. It has been know for a while that you don't need a majority. There is some debate about this, but then there is an article titled Why Selfish miners do not exist and never will that was posted a month before an alleged selfish mining attack.
    $endgroup$
    – Derek Elkins
    Mar 13 at 20:31













0












0








0





$begingroup$


Although, this question is related to the Bitcoin network; however, its calculation is more relative to the Mathematics. So, let's bring it up here:



According to this answer: https://bitcoin.stackexchange.com/a/58908/41513 a Byzantine Fault Tolerant (BFT) consensus threshold is 1/3.



On the other hand, there is a common belief that Bitcoin network is secure till majority of mining power (i.e. more than 1/2) is honest, that means Byzantine Fault Tolerant threshold of Bitcoin network is 1/2.



Which threshold is correct? 1/3 or 1/2 ?




Note: The proof-of-work (PoW) that is used in the Bitcoin consensus is a Poisson process.



Useful references:



https://en.wikipedia.org/wiki/Byzantine_fault



https://medium.com/loom-network/understanding-blockchain-fundamentals-part-1-byzantine-fault-tolerance-245f46fe8419



http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.126.9525&rep=rep1&type=pdf










share|cite|improve this question









$endgroup$




Although, this question is related to the Bitcoin network; however, its calculation is more relative to the Mathematics. So, let's bring it up here:



According to this answer: https://bitcoin.stackexchange.com/a/58908/41513 a Byzantine Fault Tolerant (BFT) consensus threshold is 1/3.



On the other hand, there is a common belief that Bitcoin network is secure till majority of mining power (i.e. more than 1/2) is honest, that means Byzantine Fault Tolerant threshold of Bitcoin network is 1/2.



Which threshold is correct? 1/3 or 1/2 ?




Note: The proof-of-work (PoW) that is used in the Bitcoin consensus is a Poisson process.



Useful references:



https://en.wikipedia.org/wiki/Byzantine_fault



https://medium.com/loom-network/understanding-blockchain-fundamentals-part-1-byzantine-fault-tolerance-245f46fe8419



http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.126.9525&rep=rep1&type=pdf







computer-science computational-mathematics poisson-process






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 13 at 10:31









sassas

1112




1112







  • 1




    $begingroup$
    That "common belief" is out-dated. It has been know for a while that you don't need a majority. There is some debate about this, but then there is an article titled Why Selfish miners do not exist and never will that was posted a month before an alleged selfish mining attack.
    $endgroup$
    – Derek Elkins
    Mar 13 at 20:31












  • 1




    $begingroup$
    That "common belief" is out-dated. It has been know for a while that you don't need a majority. There is some debate about this, but then there is an article titled Why Selfish miners do not exist and never will that was posted a month before an alleged selfish mining attack.
    $endgroup$
    – Derek Elkins
    Mar 13 at 20:31







1




1




$begingroup$
That "common belief" is out-dated. It has been know for a while that you don't need a majority. There is some debate about this, but then there is an article titled Why Selfish miners do not exist and never will that was posted a month before an alleged selfish mining attack.
$endgroup$
– Derek Elkins
Mar 13 at 20:31




$begingroup$
That "common belief" is out-dated. It has been know for a while that you don't need a majority. There is some debate about this, but then there is an article titled Why Selfish miners do not exist and never will that was posted a month before an alleged selfish mining attack.
$endgroup$
– Derek Elkins
Mar 13 at 20:31










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3146388%2fbyzantine-fault-tolerance-threshold-of-bitcoin-1-2-or-1-3%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes















draft saved

draft discarded
















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid


  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.

Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3146388%2fbyzantine-fault-tolerance-threshold-of-bitcoin-1-2-or-1-3%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Moe incest case Sentencing See also References Navigation menu"'Australian Josef Fritzl' fathered four children by daughter""Small town recoils in horror at 'Australian Fritzl' incest case""Victorian rape allegations echo Fritzl case - Just In (Australian Broadcasting Corporation)""Incest father jailed for 22 years""'Australian Fritzl' sentenced to 22 years in prison for abusing daughter for three decades""RSJ v The Queen"

John Burke, 9th Earl of Clanricarde References Navigation menuA General and heraldic dictionary of the peerage and baronetage of the British EmpireLeigh Rayment's Peerage Pages

Football at the 1986 Brunei Merdeka Games Contents Teams Group stage Knockout stage References Navigation menu"Brunei Merdeka Games 1986".