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They rely on a technology called SPV (simplified payment verification) proofs, which work like this: in order to send money to a sidechain and back to the main bitcoin network again, users need to attach a proof that they really have the funds. Without these proofs, when users or miners move their money back to the main chain, under certain conditions, they could take more money than they really have.

Private blockchains are valuable for solving efficiency, security and fraud problems within traditional financial institutions, but only incrementally. It’s not very likely that private blockchains will revolutionize the financial system. Public blockchains, however, hold the potential to replace most functions of traditional financial institutions with software, fundamentally reshaping the way the financial system works.
Jump up ^ Redrup, Yolanda (29 June 2016). "ANZ backs private blockchain, but won't go public". Australia Financial Review. Archived from the original on 3 July 2016. Retrieved 7 July 2016. Blockchain networks can be either public or private. Public blockchains have many users and there are no controls over who can read, upload or delete the data and there are an unknown number of pseudonymous participants. In comparison, private blockchains also have multiple data sets, but there are controls in place over who can edit data and there are a known number of participants.
The NPD report noted IBM is partnering with nine retailers and food companies (Walmart, Unilever, Nestle, Dole, Tyson Foods, Golden State Foods, McCormick & Co., McLane Co., and Driscoll’s) to revamp data management processes with blockchain. Walmart uses blockchain in China to source its pork all the way from the pig to the customer. This enables the retailers to provide transparency to all the players along the supply chain.
As RSK plans to host all types of clients and smart contracts: financial industry players, educational institutions, large importing companies, government and individuals, which means they are full on attack mode on Ethereum’s business model. There are endless opportunities within a market with unlimited potential and we could now see a first real competitor for Ethereum, that has a big hashrate, secure network, safer environment for developers, much higher throughput and solved scalability issues.
First of all, one should not confuse private and public blockchains. They have one obvious similarity – they are blockchains, decentralized networks. Every participant of the network keeps a copy of this shared ledger, and all these copies are kept sync with the help of a certain consensus protocol. It means that all the participants of the network have access to identical information. Also, all the networks are immutable, and the information they contain can’t be altered.
In a cooperative consensus algorithm, there is a fixed number of voters. Voters cannot leave and join randomly. All voters know each other and every voter has only one vote. If the majority agree on the value of the data, then the system is working as designed. This can handle over 30,000 transactions per second. Scaling the number of voters can be an issue, because every vote proposed by a voter must be delivered to every other voter in the consortium.
A federation is a group that serves as the intermediary between a parent chain and its corresponding sidechain. It is an additional layer in the protocol but serves a key function and is what Blockstream’s Liquid sidechain uses. Due to the lack of expressiveness of Bitcoin’s scripting language, an externally implemented and mutually distrusting set of members form a federated peg.
By design, a blockchain is resistant to modification of the data. It is "an open, distributed ledger that can record transactions between two parties efficiently and in a verifiable and permanent way".[7] For use as a distributed ledger, a blockchain is typically managed by a peer-to-peer network collectively adhering to a protocol for inter-node communication and validating new blocks. Once recorded, the data in any given block cannot be altered retroactively without alteration of all subsequent blocks, which requires consensus of the network majority. Although blockchain records are not unalterable, blockchains may be considered secure by design and exemplify a distributed computing system with high Byzantine fault tolerance. Decentralized consensus has therefore been claimed with a blockchain.[8]
thank you for the clear explanation of this. so in essence, by locking bitcoins to a particular address we’ve created an asset (collateral). then on the other sidechain (marketplace) we get issued shares against the asset, which we can sell. anyone holding a share can then redeem it against the asset. I think that’s an analogy that finance types would get

Private and Public Blockchain occurs when the financial enterprises start to explore the various blocks of the Blockchain technology. These two Blockchains are coming up with business oriented models as to obtain the difference between the two. The private blockchain generates at a lower cost and faster speed than the public blockchain. In the previous years, the blockchain has grown to become an interesting subject globally. It is becoming an integrated part in the financial sectors all over the digital world.

Smart contracts are immutable pieces of code and their outcomes are irreversible. Hence, formal verification of their code is very important before deploying them. It’s very hard to verify smart contracts in the Ethereum Virtual Machine (EVM). A business can’t afford to deploy faulty but immutable smart contracts and suffer the consequences of their irreversible outcome. This article details the challanges: “Fundamental challenges with public blockchains”.
“The consortium or company running a private blockchain can easily, if desired, change the rules of a blockchain, revert transactions, modify balances, etc. In some cases, e.g. national land registries, this functionality is necessary; there is no way a system would be allowed to exist where Dread Pirate Roberts can have legal ownership rights over a plainly visible piece of land, and so an attempt to create a government-uncontrollable land registry would in practice quickly devolve into one that is not recognized by the government itself….
If you’ve been keeping track of developments in the bitcoin industry, you’d know that the blockchain refers to the public ledger of transactions associated with the cryptocurrency. As the bitcoin ecosystem has grown in size and scale throughout the years, the blockchain has also increased considerably in length and storage size, prompting debates on whether or not to increase its block size limit.
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My chief concern is not with the concept of side chains per se (yet). I have still much to learn about how they are being considered. I am only concerned with the way the concept is being presented here. However, I am sure that much of this was due to space restrictions as much as anything. The concept of side chains is an intriguing one. It is also clearly attempting to address a major problem with the whole Bitcoin scheme- namely the verification latency it introduces for transactions. This is only one of the hurdles facing Bitcoins acceptance into the world of commerce, but it is a considerable one.
A partir de este momento, se podrán intercambiar y mover estas monedas para hacer uso del potencial de esa sidechain siguiendo las directrices y protocolo que ésta tenga estipulado. Por ejemplo, quizá la velocidad de creación de los bloques es más rápida en esta o quizá los scripts de transacción en esa cadena son turing completos (disponen de un poder de cómputo equivalente a la máquina universal de Turing).
The second option will be to use sidechains. Blockstream first announced side chain in 2014 and published its whitepaper ( I believe in the future, bitcoin will have its desired flexibility with its sidechains. The idea of the sidechain is you can innovate and design your solution freely in the sidechains. These sidechains are independent, if they are failed or hacked, they won't damage other chains. So damage will be limited within that chain, for that reason you can be less conservative. Otherwise you would be more risk averse, if you had 42.5 billion dollar market cap like Bitcoin.
Of course, the drawbacks of public and private blockchains are still very much present in the case consortium chains. This all depends on the way each consortium is constructed: a more public consortium chain will bear the burdens of public chains, while a more private one might suffer from the relative lack of openness and disintermediation. The right configuration depends on the needs and vision for each specific chain. Strategy and tailoring are always necessary to get the best solution.
This type of permissioned blockchain model offers the ability to leverage more than 30 years of technical literature to realize significant benefits. Digital identity in particular, is fundamental for most industry use cases, be it handling supply chain challenges, disrupting the financial industry, or facilitating security-rich patient/provider data exchanges in healthcare. Only the entities participating in a particular transaction will have knowledge and access to it — other entities will have no access to it. Permissioned blockchains also permit a couple of orders of magnitude greater scalability in terms of transactional throughput.