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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










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