Return-Path: Received: from silver.osuosl.org (smtp3.osuosl.org [140.211.166.136]) by lists.linuxfoundation.org (Postfix) with ESMTP id 06BF0C0051 for ; Fri, 25 Sep 2020 15:27:53 +0000 (UTC) Received: from localhost (localhost [127.0.0.1]) by silver.osuosl.org (Postfix) with ESMTP id 87AFA2E181 for ; Fri, 25 Sep 2020 15:27:52 +0000 (UTC) X-Virus-Scanned: amavisd-new at osuosl.org Received: from silver.osuosl.org ([127.0.0.1]) by localhost (.osuosl.org [127.0.0.1]) (amavisd-new, port 10024) with ESMTP id 6k5c6Pi7R1WJ for ; Fri, 25 Sep 2020 15:27:44 +0000 (UTC) X-Greylist: delayed 00:09:09 by SQLgrey-1.7.6 Received: from mail.thomaskerin.io (mail.thomaskerin.io [5.196.75.231]) by silver.osuosl.org (Postfix) with ESMTPS id F197E2047A for ; Fri, 25 Sep 2020 15:27:43 +0000 (UTC) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=thomaskerin.io; s=2017; t=1601047110; h=from:from:reply-to:subject:subject:date:date:message-id:message-id: to:to:cc:mime-version:mime-version:content-type:content-type: in-reply-to:in-reply-to:references:references; bh=dce0gjPjHiyE6PN9437Plnp5zpW2yVsRLNaWuGnSzZo=; b=pgc6eabmf8OcdoX9xiLJN8/ACG85KDM/FZ4ERJjVkLMgD2OFreH1WqZEaxur//0LXpOY4p 2ORyIvOY0csPfFplNDSEFgDyra7hIty4Ed1R9vBR5RjMyFI1GewofYIiIRLCGCPqqF+08m q5wsR6zUUqqOHk64+r6sJKi1tQNbfyMVijv74OWYiquudlqo0UMxgf5fQGF7SStaOiY7H2 iUXKMYlZJr5bhszLrkCu0t/zImslR2pGlPUtdfYRFvtIhnf93/IzR2Ruh5jTp0N1GRYBIW hp0SxoXLcndfJczqUgNrZRcyWc+X+Yda5dJWGuTsBWia12RHOrtQgIvOS+0byA== To: Mike Brooks via bitcoin-dev References: From: bitcoin ml Message-ID: Date: Fri, 25 Sep 2020 16:18:17 +0100 MIME-Version: 1.0 In-Reply-To: Content-Type: multipart/alternative; boundary="------------3FCAF818CF8B3F72DE2CF89D" Content-Language: en-US Authentication-Results: ORIGINATING; auth=pass smtp.auth=bitcoin.ml@thomaskerin.io smtp.mailfrom=bitcoin.ml@thomaskerin.io X-Mailman-Approved-At: Fri, 25 Sep 2020 15:56:56 +0000 Subject: Re: [bitcoin-dev] Floating-Point Nakamoto Consensus X-BeenThere: bitcoin-dev@lists.linuxfoundation.org X-Mailman-Version: 2.1.15 Precedence: list List-Id: Bitcoin Protocol Discussion List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Fri, 25 Sep 2020 15:27:53 -0000 This is a multi-part message in MIME format. --------------3FCAF818CF8B3F72DE2CF89D Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Hi, This is a pretty big departure from cumulative POW. Could you explain to me what you see happening if a node with this patch and no history starts to sync, and some random node gives it a block with a better fitness test for say height 250,000? No other solution will have a better fitness test at that height, so from my understanding its going to stop syncing. How about even later - say this proposal is activated at block 750,000. At 850,000, someone decides it'd be fun to publish a new block 800,000 with a better fitness test. What happens the 50,000 blocks? I can imagine the miners not being particularly happy about it - their previously 50:50 chance (well, sort of, it's based on resources- connectivity, validation overheads, etc) their tied block would succeed, vs the situation with this change - blocks that are inherently more or less valid than others. I think these days people are more focused on improving defences at the networking layer than in the consensus layer - especially when it affects mining incentives. I don't see how people will take this seriously - especially when you regard how often consensus changes are made to _fix_ something as opposed to add something new. Best regards, Thomas On 9/24/20 8:40 PM, Mike Brooks via bitcoin-dev wrote: >   Hey Everyone, > >  A lot of work has gone into this paper, and the current revision has > been well received and there is a lot of excitement on this side to be > sharing it with you today. There are so few people that truly > understand this topic, but we are all pulling in the same direction to > make Bitcoin better and it shows.  It is wildly underrated that future > proofing was never really a consideration in the initial design - but > here we are a decade later with amazing solutions like SegWit > which gives us a real future-proofing framework.  The fact that > future-proofing was added to Bitcoin with a softfork gives me > goosebumps. I'd just like to take the time to thank the people who > worked on SegWit and it is an appreciation that comes up in > conversation of how difficult and necessary that process was, and this > appreciation may not be vocalized to the great people who worked on > it. The fact that Bitcoin keeps improving and is able to respond to > new threats is nothing short of amazing - thank you everyone for a > great project. > > This current proposal really has nothing to do with SegWit - but it is > an update that will make the network a little better for the future, > and we hope you enjoy the paper. > > PDF: > https://github.com/in-st/Floating-Point-Nakamoto-Consensus/blob/master/Floating-Point%20Nakamoto%20Consensus.pdf > Pull Request: > https://github.com/bitcoin/bitcoin/pull/19665/files > > --- > > > Floating-Point Nakamoto Consensus > > > Abstract — It has been shown that Nakamoto Consensus is very useful in > the formation of long-term global agreement — and has issues with > short-term disagreement which can lead to re-organization (“or-org”) > of the blockchain.  A malicious miner with knowledge of a specific > kind of denial-of-service (DoS) vulnerability can gain an unfair > advantage in the current Bitcoin network, and can be used to undermine > the security guarantees that developers rely upon.  Floating-Point > Nakamoto consensu makes it more expensive to replace an already mined > block vs. creation of a new block, and by resolving ambiguity of > competition solutions it helps achieve global consumers more quickly.  > A floating-point fitness test strongly incentivises the correct > network behavior, and prevents disagreement from ever forming in the > first place. > > > Introduction > > The Bitcoin protocol was created to provide a decentralized consensus > on a fully distributed p2p network.  A problem arises when more than > one proof-of-work is presented as the next solution block in the > blockchain.  Two solutions of the same height are seen as > authoritative equals which is the basis of a growing disagreement. A > node will adopt the first solution seen, as both solutions propagate > across the network a race condition of disagreement is formed. This > race condition can be controlled by byzentiene fault injection > commonly referred to as an “eclipsing” attack.  When two segments of > the network disagree it creates a moment of weakness in which less > than 51% of the network’s computational resources are required to keep > the network balanced against itself. > > > Nakamoto Consensus > > Nakamoto Consensus is the process of proving computational resources > in order to determine eligibility to participate in the decision > making process.  If the outcome of an election were based on one node > (or one-IP-address-one-vote), then representation could be subverted > by anyone able to allocate many IPs. A consensus is only formed when > the prevailing decision has the greatest proof-of-work effort invested > in it. In order for a Nakamoto Consensus to operate, the network must > ensure that incentives are aligned such that the resources needed to > subvert a proof-of-work based consensus outweigh the resources gained > through its exploitation. In this consensus model, the proof-of-work > requirements for the creation of the next valid solution has the exact > same cost as replacing the current solution. There is no penalty for > dishonesty, and this has worked well in practice because the majority > of the nodes on the network are honest and transparent, which is a > substantial barrier for a single dishonest node to overcome. > > > A minimal network peer-to-peer structure is required to support > Nakamoto Conesus, and for our purposes this is entirely decentralized. > Messages are broadcast on a best-effort basis, and nodes can leave and > rejoin the network at will, accepting the longest proof-of-work chain > as proof of what happened while they were gone.  This design makes no > guarantees that the peers connected do not misrepresent the network or > so called “dishonest nodes.” Without a central authority or central > view - all peers depend on the data provided by neighboring peers - > therefore a dishonest node can continue until a peer is able to make > contact an honest node. > > > Security > > In this threat model let us assume a malicious miner possesses > knowledge of an unpatched DoS vulnerability (“0-day”) which will > strictly prevent honest nodes from communicating to new members of the > network - a so-called “total eclipse.”  The kind of DoS vulnerability > needed to conduct an eclipse does not need to consume all CPU or > computaitly ability of target nodes - but rather prevent target nodes > from forming new connections that would undermine the eclipsing > effect. These kinds of DoS vulnerabilities are somewhat less > substional than actually knocking a powerful-mining node offline.  > This class of attacks are valuable to an adversary because in order > for an honest node to prove that a dishonest node is lying - they > would need to form a connection to a segment of the network that isn’t > entirely suppressed. Let us assume a defense-in-depth strategy and > plan on this kind of failure. > > > Let us now consider that the C++ Bitcoind has a finite number of > worker threads and a finite number of connections that can be serviced > by these workers.  When a rude client occupies all connections - then > a pidgin-hole principle comes into play. If a network's maximum > capacity for connection handlers ‘k’, is the sum of all available > worker threads for all nodes in the network, establishing ‘k+1’ > connections by the pidgin-hole principle will prevent any new > connections from being formed by honest nodes - thereby creating a > perfect eclipse for any new miners joining the network would only be > able to form connections with dishonest nodes. > > > Now let’s assume a dishonest node is modified in two ways - it > increases the maximum connection handles to hundreds of thousands > instead of the current value which is about 10. Then this node is > modified to ignore any solution blocks found by honest nodes - thus > forcing the dishonest side of the network to keep searching for a > competitive-solution to split the network in two sides that disagree > about which tip of the chain to use.  Any new solution propagates > through nodes one hop at a time. This propagation can be predicted and > shaped by dishonest non-voting nodes that are being used to pass > messages for honest nodes. > > > At this point an attacker can expedite the transmission of one > solution, while slowing another. If ever a competing proof-of-work is > broadcasted to the network, the adversary will use their network > influence to split knowledge of the proof-of-work as close to ½ as > possible. If the network eclipse is perfect then an adversary can > leverage an eigen-vector of computational effort to keep the > disagreement in balance for as long as it is needed. No mechanism is > stopping the attacker from adding additional computation resources or > adjusting the eclipsing effect to make sure the system is in balance. >   As long as two sides of the network are perfectly in disagreement > and generating new blocks - the attacker has intentionally created a > hard-fork against the will of the network architects and operators. > The disagreement needs to be kept open until the adversary’s > transactions have been validated on the honest chain - at which point > the attacker will add more nodes to the dishonest chain to make sure > it is the ultimate winner - thus replacing out the honest chain with > the one generated by dishonest miners. > > > This attack is convenient from the adversary’s perspective,  Bitcoin > being a broadcast network advertises the IP addresses of all active > nodes - and Shodan and the internet scanning project can find all > passive nodes responding on TCP 8333.  This should illuminate all > honest nodes on the network, and even honest nodes that are trying to > obscure themselves by not announcing their presence.  This means that > the attacker doesn’t need to know exactly which node is used by a > targeted exchange - if the attacker has subdued all nodes then the > targeted exchange must be operating a node within this set of targeted > honest nodes. > > > During a split in the blockchain, each side of the network will honor > a separate merkel-tree formation and therefore a separate ledger of > transactions. An adversary will then broadcast currency deposits to > public exchanges, but only on the weaker side, leaving the stronger > side with no transaction from the adversary. Any exchange that > confirms one of these deposits is relying upon nodes that have been > entirely eclipsed so that they cannot see the competing chain - at > this point anyone looking to confirm a transaction is vulnerable to a > double-spend. With this currency deposited on a chain that will become > ephemeral, the attacker can wire out the account balance on a > different blockchain - such as Tether which is an erc20 token on the > Ethereum network which would be unaffected by this attack.  When the > weaker chain collapses, the transaction that the exchange acted upon > is no longer codified in Bitcoin blockchain's global ledger, and will > be replaced with a version of the that did not contain these deposits. > > > Nakamoto Consensus holds no guarantees that it’s process is > deterministic.  In the short term, we can observe that the Nakamoto > Consensus is empirically non-deterministic which is evident by > re-organizations (re-org) as a method of resolving disagreements > within the network.   During a reorganization a blockchain network is > at its weakest point, and a 51% attack to take the network becomes > unnecessary. An adversary who can eclipse honest hosts on the network > can use this as a means of byzantine fault-injection to disrupt the > normal flow of messages on the network which creates disagreement > between miners. > > > DeFi (Decentralized Finance) and smart-contract obligations depend on > network stability and determinism.  Failure to pay contracts, such as > what happened on “black thursday” resulted in secured loans > accidentally falling into redemption.  The transactions used by a > smart contract are intended to be completed quickly and the outcome is > irreversible.  However, if the blockchain network has split then a > contract may fire and have it’s side-effects execute only to have the > transaction on the ledger to be replaced.  Another example is that a > hard-fork might cause the payer of a smart contract to default - as > the transaction that they broadcasted ended up being on the weaker > chain that lost. Some smart contracts, such as collateral backed loans > have a redemption clause which would force the borrower on the loan to > lose their deposit entirely. > > > With two sides of the network balanced against each other - an > attacker has split the blockchain and this hard-fork can last for as > long as the attacker is able to exert the computational power to > ensure that proof-of-work blocks are regularly found on both sides of > the network.  The amount of resources needed to balance the network > against itself is far less than a 51% attack - thereby undermining the > security guarantees needed for a decentralized untrusted payment > network to function.  An adversary with a sufficiently large network > of dishonest bots could use this to take a tally of which miners are > participating in which side of the network split. This will create an > attacker-controlled hard fork of the network with two mutually > exclusive merkle trees. Whereby the duration of this split is > arbitrary, and the decision in which chain to collapse is up to the > individual with the most IP address, not the most computation. > > > In Satoshi Nakamoto’s original paper it was stated that the electorate > should be represented by computational effort in the form of a > proof-of-work, and only these nodes can participate in the consues > process.  However, the electorate can be misled by non-voting nodes > which can reshape the network to benefit an individual adversary. > > > Chain Fitness > > Any solution to byzantine fault-injection or the intentional formation > of disagreements must be fully decentralized. A blockchain is allowed > to split because there is ambiguity in the Nakamoto proof-of-work, > which creates the environment for a race-condition to form. To resolve > this, Floating-Point Nakamoto Consensus makes it increasingly more > expensive to replace the current winning block. This added cost comes > from a method of disagreement resolution where not every solution > block is the same value, and a more-fit solution is always chosen over > a weaker solution. Any adversary attempting to have a weaker chain to > win out would have to overcome a kind of relay-race, whereby the > winning team’s strength is carried forward and the loser will have to > work harder and harder to maintain the disagreement.  In most cases > Floating-Point Nakamoto Consensus will prevent a re-org blockchain > from ever going past a single block thereby expediting the formation > of a global consensus.  Floating-Point Nakamoto Consensus cements the > lead of the winner and to greatly incentivize the network to adopt the > dominant chain no matter how many valid solutions are advertised, or > what order they arrive. > > > The first step in Floating-Point Nakamoto Consensus is that all nodes > in the network should continue to conduct traditional Nakamoto > Consensus and the formation of new blocks is dictated by the same > zero-prefix proof-of-work requirements.  If at any point there are two > solution blocks advertised for the same height - then a floating-point > fitness value is calculated and the solution with the higher fitness > value is the winner which is then propagated to all neighbors. Any > time two solutions are advertised then a re-org is inevitable and it > is in the best interest of all miners to adopt the most-fit block, > failing to do so risks wasting resources on a mining of a block that > would be discarded.  To make sure that incentives are aligned, any > zero-prefix proof of work could be the next solution, but now in order > to replace the current winning solution an adversary would need a > zero-prefix block that is also more fit that the current solution - > which is much more computationally expensive to produce. > > Any changes to the current tip of the blockchain must be avoided as > much as possible. To avoid thrashing between two or more competitive > solutions, each replacement can only be done if it is more fit, > thereby proving that it has an increased expense.  If at any point two > solutions of the same height are found it means that eventually some > node will have to replace their tip - and it is better to have it done > as quickly as possible so that consensus is maintained. > > > In order to have a purely decentralized solution, this kind of > agreement must be empirically derived from the existing proof-of-work > so that it is universally and identically verifiable by all nodes on > the network.  Additionally, this fitness-test evaluation needs to > ensure that no two competing solutions can be numerically equivalent. > > > Let us suppose that two or more valid solutions will be proposed for > the same block.  To weigh the value of a given solution, let's > consider a solution for block 639254, in which the following hash was > proposed: > >     00000000000000000008e33faa94d30cc73aa4fd819e58ce55970e7db82e10f8 > > > There are 19 zeros, and the remaining hash in base 16 starts with 9e3 > and ends with f8.  This can value can be represented in floating point as: > >     19.847052573336114130069196154809453027792121882588614904 > > > To simplify further lets give this block a single whole number to > represent one complete solution, and use a rounded floating-point > value to represent some fraction of additional work exerted by the miner. > >    1.847 > > > Now let us suppose that a few minutes later another solution is > advertised to the network shown in base16 below: > >     000000000000000000028285ed9bd2c774136af8e8b90ca1bbb0caa36544fbc2 > > > The solution above also has 19 prefixed zeros, and is being broadcast > for the same blockheight value of 639254 - and a fitness score of > 1.282.  With Nakamoto Consensus both of these solutions would be > equivalent and a given node would adopt the one that it received > first.  In Floating-Post Nakamoto Consensus, we compare the fitness > scores and keep the highest.  In this case no matter what happens - > some nodes will have to change their tip and a fitness test makes sure > this happens immediately. > > > With both solutions circulating in the network - any node who has > received both proof-of-works should know 1.847 is the current highest > value, and shouldn’t need to validate any lower-valued solution.  In > fact this fitness value has a high degree of confidence that it won’t > be unseated by a larger value - being able to produce a proof-of-work > with 19 0’s and a decimal component greater than 0.847 is > non-trivial.  As time passes any nodes that received a proof-of-work > with a value 1.204 - their view of the network should erode as these > nodes adopt the 1.847 version of the blockchain. > > All nodes are incentivized to support the solution with the highest > fitness value - irregardless of which order these proof-of-work were > validated. Miners are incentivized to support the dominant chain which > helps preserve the global consensus. > > > Let us assume that the underlying cryptographic hash-function used to > generate a proof-of-work is an ideal primitive, and therefore a node > cannot force the outcome of the non-zero component of their > proof-of-work.  Additionally if we assume an ideal cipher then the > fitness of all possible solutions is gaussian-random. With these > assumptions then on average a new solution would split the keyspace of > remaining solutions in half.  Given that the work needed to form a  > new block remains a constant at 19 blocks for this period - it is > cheaper to produce a N+1 block that has any floating point value as > this is guaranteed to be adopted by all nodes if it is the first > solution.  To leverage a chain replacement on nodes conducting > Floating-Point Nakamoto Consensus a malicious miner would have to > expend significantly more resources. > > > Each successive n+1 solution variant of the same block-height must > therefore on average consume half of the remaining finite keyspace. > Resulting in a the n+1 value not only needed to overcome the 19 zero > prefix, but also the non-zero fitness test.   It is possible for an > adversary to waste their time making a 19 where n+1 was not greater, > at which point the entire network will have had a chance to move on > with the next solution.  With inductive reasoning, we can see that a > demissiniong keyspace increases the amount of work needed to find a > solution that also meets this new criteria. > > > Now let us assume a heavily-fragmented network where some nodes have > gotten one or both of the solutions.  In the case of nodes that > received the proof-of-work solution with a fitness of 1.847, they will > be happily mining on this version of the blockchain. The nodes that > have gotten both 1.847 and .240 will still be mining for the 1.847 > domainite version, ensuring a dominant chain.  However, we must assume > some parts of the network never got the message about 1.847 proof of > work, and instead continued to mine using a value of 1.240 as the > previous block.   Now, let’s say this group of isolated miners manages > to present a new conflicting proof-of-work solution for 639255: > > >      000000000000000000058d8ebeb076584bb5853c80111bc06b5ada35463091a6 > > > The above base16 block has a fitness score of 1.532  The fitness value > for the previous block 639254 is added together: > > >      2.772 = 1.240 + 1.532 > > > In this specific case, no other solution has been broadcast for block > height 639255 - putting the weaker branch in the lead.  If the weaker > branch is sufficiently lucky, and finds a solution before the dominant > branch then this solution will have a higher overall fitness score, > and this solution will propagate as it has the higher value.  This is > also important for transactions on the network as they benefit from > using the most recently formed block - which will have the highest > local fitness score at the time of its discovery.  At this junction, > the weaker branch has an opportunity to prevail enterally thus ending > the split. > > > Now let us return to the DoS threat model and explore the worst-case > scenario created by byzantine fault injection. Let us assume that both > the weaker group and the dominant group have produced competing > proof-of-work solutions for blocks 639254 and 639255 respectively.  > Let’s assume that the dominant group that went with the 1.847 fitness > score - also produces a solution with a similar fitness value and > advertises the following solution to the network: > > > 0000000000000000000455207e375bf1dac0d483a7442239f1ef2c70d050c113 > > 19.414973649464574877549198290879237036867705594421756179 > > or > > 3.262 = 1.847 + 1.415 > > > A total of 3.262 is still dominant over the lesser 2.772 - in order to > overcome this - the 2nd winning block needs to make up for all of the > losses in the previous block.  In this scenario, in order for the > weaker chain to supplant the dominant chain it must overcome a -0.49 > point deficit. In traditional Nakamoto Consensus the nodes would see > both forks as authoritative equals which creates a divide in mining > capacity while two groups of miners search for the next block.  In > Floating-Point Nakamoto Consensus any nodes receiving both forks, > would prefer to mine on the chain with an overall fitness score of > +3.262 - making it even harder for the weaker chain to find miners to > compete in any future disagreement, thereby eroding support for the > weaker chain. This kind of comparison requires an empirical method for > determining fitness by miners following the same same system of rules > will insure a self-fulfilled outcome.  After all nodes adopt the > dominant chain normal Nakamoto Consuess can resume without having to > take into consideration block fitness. This example shows how > disagreement can be resolved more quickly if the network has a > mechanism to resolve ambiguity and de-incentivise dissent. > > > Soft Fork > > Blockchain networks that would like to improve the consensus > generation method by adding a fitness test should be able to do so > using a “Soft Fork” otherwise known as a compatible software update.  > By contrast a “Hard-Fork” is a separate incompatible network that does > not form the same consensus.  Floating-Point Nakamoto Consensus can be > implemented as a soft-fork because both patched, and non-patched nodes > can co-exist and non-patched nodes will benefit from a kind of herd > immunity in overall network stability.  This is because once a small > number of nodes start following the same rules then they will become > the deciding factor in which chain is chosen.  Clients that are using > only traditional Nakamoto Consensus will still agree with new clients > over the total chain length. Miners that adopt the new strategy early, > will be less likely to lose out on mining invalid solutions. > > > Conclusion > > Floating-Point Nakamoto consensus allows the network to form a > consensus more quickly by avoiding ambiguity allowing for determinism > to take hold. Bitcoin has become an essential utility, and attacks > against our networks must be avoided and adapting, patching and > protecting the network is a constant effort. An organized attack > against a cryptocurrency network will undermine the guarantees that > blockchain developers are depending on. > > > Any blockchain using Nakamoto Consensus can be modified to use a > fitness constraint such as the one used by a Floating-Point Nakamoto > Consensus.  An example implementation has been written and submitted > as a PR to the bitcoin core which is free to be adapted by other networks. > > > > > > > A complete implementation of Floating-Point Nakamoto consensus is in > the following pull request: > > https://github.com/bitcoin/bitcoin/pull/19665/files > > > Paper: > > https://github.com/in-st/Floating-Point-Nakamoto-Consensus > > https://in.st.capital > > > > _______________________________________________ > bitcoin-dev mailing list > bitcoin-dev@lists.linuxfoundation.org > https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev --------------3FCAF818CF8B3F72DE2CF89D Content-Type: text/html; charset=utf-8 Content-Transfer-Encoding: base64 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