Blockchain & Cryptocurrency #5: A simple cryptocurrency, ScroogeCoin

We are a group composed by some Informatics and Mathematics who like to share their IT, Math and Cryptographic knowledge with people. It is possible to find our complete courses on http://learningspot.altervista.org website. Since we think that Steemit is a great opportunity to share knowledge, we are proposing our most interesting lessons here, too.

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Since now we have talked a lot about cryptography and a little about cryptocurrencies. In this lesson we will try to build our first simple cryptocurrency.

A simplified Cryptocurrency


Now that we start to talk about you'll see how these pieces fit together and why the cryptographic operations such as hash functions and digital signatures are really useful. In this section we will talk about a simplified Cryptocurrency that give us ideas about how systems like BitCoin work. It's going to require about ten more lectures in order to really explain how BitCoin works and what that means. But let's start the discussion with the simple GoofyCoin, the simplest crypto currency we can imagine.

Goofy Coin


There are just a couple rules of GoofyCoin:

  1. Goofy can create new coins whenever he wants. The new coins, at the beginning, belong to him. So, there’s a CreateCoin operation, a uniqueCoinID and a Digital Signature that Goofy puts on new coins, that everyone can verify;
    createcoin
  2. Whoever owns a coin can pass it on to someone else: the coins can be spent. For example if Goofy wants to pay Alice, he will:
    1. Take a hash pointer to that coin
    2. Make a statement taht says that he wants to pay the coin to Alice. And he refers to Alice trough her public key
    3. The statement is signed by Goofy
    4. Now Alice owns the coin and can prove it. She can present the following data structure, which is validly signed by Goofy and points to a coin that Goofy owned.
    5. Alice can go on and use the coin however she wants, for example can make a payment to Bob using the same datastructure, and so on.
goofy_spends_coin

So Goofy can create new coins with a simple statement that he's making a new coin with a unique coin ID. And then whoever owns a coin can pass it on to someone else by signing a statement, saying pass on this coin to person X. It is possible to verify the validity of a coin by simply following the chain and verifying all the signatures along the way.

third_passage_of_coin

Double spending problem

There's a big security problem with GoofyCoin, shown in the diagram below.
goofy_coin_double_spending

  1. Goofy makes a transaction to pay Alice
  2. Alice makes a transaction to pay Bob
  3. Then Alice makes another transaction to Chuck, sending the same coin
Now, both the last transactions are signed by Alice. If Chuck doesn't know that Alice has already sent the money to Bob, he will think that he's the owner. Both the claims of Bob and Chuck to be the owner are equally valid, since they can follow the chain till Goofy. That's a problem because coins are not supposed to work that way. This is called double-spending attack, because Alice is spending the same coin twice.

Double-spending attacks are one of the key problems that a Cryptocurrency has to solve. GoofyCoin does not solve the double spending attack and therefore it is not secure. In order to build a usable Cryptocurrency, we need to have some solution to the double-spending problem.

Scrooge Coin


So let's design ScroogeCoin, that is going to be like GoofyCoin, except it will solve the double-spending problem in a particular way. The key idea is that Scrooge is going to publish the history of all the transactions in a blockchain, that will be digitally signed by Scrooge. So anyone can check the data blocks. Each block will have one transaction in it and a hash pointer to the previous block in the history.
scroogecoin

Then Scrooge will take the hash pointer, which represents this entire structure, digitally sign it and publish it. Now anybody can verify that Scrooge really signed this hash pointer. And then they can follow this chain all the way back and see the entire history of all the transactions of ScroogeCoin, since the beginning.

Solution to double-spending problem

The history allows us to detect double-spending. Assume Alice owns a coin, and she tries to pay that coin both to Bob and to Charlie. Charlie will notice that something is wrong, because he can look into the history and see that Alice already paid that coin to Bob. So, if she tries to pay that coin to Chuck, then everyone can see that that's a double spending and they'll be able to reject it.
Transactions types

In ScroogeCoin there are two kinds of transactions:

  1. CreateCoins transaction: in Scrooge Coin it is possible to create multiple coins in one transaction. Every coin will have a serial number, a value and a owner (a public key of the initial owner). So this transaction type creates a bunch of new coins and assigns them to people as initial owners. Each coin will have a unique ID (i.e. ID 73(0): first coin created in transaction 73, ID 73(1), 73(2), ... other coins created in transaction 73). A CreateCoins transaction is always valid, because Scrooge said so. If Scrooge puts this into the history, which he signs, then it's valid by definition.scroogecoin_createcoin
  2. PayCoins transaction: consumes some coins and destroys them, and creates new coins of the same total value, but which might belong to different people. So, we will have a list of the coins that are going to be destroyed. Then there's a creation of a bunch of new coins, whose total value must add up to the total of destroyed coins. Just like before in the CreationCoins transaction each one has an Id, a value and a owner. This transaction must be signed with all signatures of the owner of one of the destroyed coins. scroogecoin_paycoin
Check transactions validity
This transaction is valid if four conditions are met:
  1. the consumed coins are valid: they were really created in previous transactions
  2. double-spending check: the consumed coins were not already been spent in previous transactions
  3. the total value of the newly created coins is equal to the total value of the destroyed coins
  4. all the digital signature of previous owners are valid
In this case Scrooge will accept it and insert this block into the blockchain, so everyone can check it. In this scheme the coins are immutable, they are just created with a specific owner and then destroyed. But every operation is still possible. For example to subdivide a coin, is enough to create a new transaction that consumes a coin and produces two new coins of the same total value.
Centralization Problem
In this case the problem is Scrooge. Right? Scrooge says don't worry, I'm honest. But if Scrooge starts misbehaving, then we're going to have a problem. Or if Scrooge just gets bored of the whole ScroogeCoin scheme and stops doing the things that he is supposed to do, then the system won't operate anymore.

The problem we have here is Centralization: although Scrooge is happy with the system, the users of it might not be. In order to improve on ScroogeCoin is necessary to decentralize the system.

order to do that, we need to figure out how to provide the same services of Scrooge, but in a decentralized way, in which no particular party is the only trusted one. We need to figure out:

  • how everyone can agree upon a single published blockchain, on which transactions are valid and which transactions actually occurred
  • how we can assign IDs to things in a decentralized way
It's going to take a few more lectures to achieve this aim.
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