|
| 1 | +""" |
| 2 | +# Title: Proof of Work Algorithm for Blockchain |
| 3 | +
|
| 4 | +## Algorithm Statement: |
| 5 | +The algorithm implements the Proof of Work (PoW) consensus mechanism used in blockchain to validate blocks. PoW is used to ensure that participants (miners) must perform a computational task to create a valid block and add it to the blockchain. The difficulty of the task is defined by the number of leading zeros required in the hash of the block. |
| 6 | +
|
| 7 | +## Approach: |
| 8 | +1. Each block contains a list of transactions, a previous block's hash, a timestamp, and a nonce (random value). |
| 9 | +2. The block is hashed using the SHA-256 cryptographic hash function. |
| 10 | +3. The miner's goal is to find a nonce such that the resulting hash has a certain number of leading zeros, which defines the difficulty level. |
| 11 | +4. The difficulty is adjustable. The more leading zeros required, the harder it is to find a valid nonce. |
| 12 | +5. This process is repeated until a valid hash is found, which demonstrates that computational work has been done (Proof of Work). |
| 13 | +
|
| 14 | +## Steps: |
| 15 | +1. Create a `Block` class to hold block details (transactions, previous hash, timestamp, and nonce). |
| 16 | +2. Implement a `Blockchain` class that adds new blocks to the chain by solving the PoW problem. |
| 17 | +3. Implement the hashing function using SHA-256. |
| 18 | +4. Adjust the difficulty by varying the number of leading zeros required in the hash. |
| 19 | +5. Use test cases to validate the PoW algorithm. |
| 20 | +""" |
| 21 | + |
| 22 | +import hashlib |
| 23 | +import time |
| 24 | + |
| 25 | +class Block: |
| 26 | + def __init__(self, index, previous_hash, transactions, timestamp, difficulty): |
| 27 | + self.index = index |
| 28 | + self.previous_hash = previous_hash |
| 29 | + self.transactions = transactions |
| 30 | + self.timestamp = timestamp |
| 31 | + self.nonce = 0 # Start with nonce 0 |
| 32 | + self.difficulty = difficulty |
| 33 | + self.hash = self.compute_hash() |
| 34 | + |
| 35 | + def compute_hash(self): |
| 36 | + """ |
| 37 | + Generates the hash of the block content. |
| 38 | + Combines index, previous hash, transactions, timestamp, and nonce into a string, |
| 39 | + which is then hashed using SHA-256. |
| 40 | + """ |
| 41 | + block_string = f"{self.index}{self.previous_hash}{self.transactions}{self.timestamp}{self.nonce}" |
| 42 | + return hashlib.sha256(block_string.encode()).hexdigest() |
| 43 | + |
| 44 | + def mine_block(self): |
| 45 | + """ |
| 46 | + Performs Proof of Work by adjusting the nonce until a valid hash is found. |
| 47 | + A valid hash has the required number of leading zeros based on the difficulty level. |
| 48 | + """ |
| 49 | + target = '0' * self.difficulty # Target hash should start with 'difficulty' number of zeros |
| 50 | + while self.hash[:self.difficulty] != target: |
| 51 | + self.nonce += 1 |
| 52 | + self.hash = self.compute_hash() |
| 53 | + |
| 54 | + print(f"Block mined with nonce {self.nonce}, hash: {self.hash}") |
| 55 | + |
| 56 | +class Blockchain: |
| 57 | + def __init__(self, difficulty): |
| 58 | + self.chain = [] |
| 59 | + self.difficulty = difficulty |
| 60 | + self.create_genesis_block() |
| 61 | + |
| 62 | + def create_genesis_block(self): |
| 63 | + """ |
| 64 | + Creates the first block in the blockchain (the Genesis block). |
| 65 | + """ |
| 66 | + genesis_block = Block(0, "0", "Genesis Block", time.time(), self.difficulty) |
| 67 | + genesis_block.mine_block() |
| 68 | + self.chain.append(genesis_block) |
| 69 | + |
| 70 | + def add_block(self, transactions): |
| 71 | + """ |
| 72 | + Adds a new block to the blockchain after performing Proof of Work. |
| 73 | + """ |
| 74 | + previous_block = self.chain[-1] |
| 75 | + new_block = Block(len(self.chain), previous_block.hash, transactions, time.time(), self.difficulty) |
| 76 | + new_block.mine_block() |
| 77 | + self.chain.append(new_block) |
| 78 | + |
| 79 | + def is_chain_valid(self): |
| 80 | + """ |
| 81 | + Verifies the integrity of the blockchain by ensuring each block's previous hash matches |
| 82 | + and that all blocks meet the Proof of Work requirement. |
| 83 | + """ |
| 84 | + for i in range(1, len(self.chain)): |
| 85 | + current_block = self.chain[i] |
| 86 | + previous_block = self.chain[i - 1] |
| 87 | + |
| 88 | + if current_block.hash != current_block.compute_hash(): |
| 89 | + print(f"Invalid block at index {i}. Hash mismatch.") |
| 90 | + return False |
| 91 | + |
| 92 | + if current_block.previous_hash != previous_block.hash: |
| 93 | + print(f"Invalid chain at index {i}. Previous hash mismatch.") |
| 94 | + return False |
| 95 | + |
| 96 | + return True |
| 97 | + |
| 98 | +# Test cases |
| 99 | + |
| 100 | +def test_blockchain(): |
| 101 | + """ |
| 102 | + Test cases for the Blockchain proof of work algorithm. |
| 103 | + """ |
| 104 | + # Create blockchain with difficulty level of 4 (hash should start with 4 zeros) |
| 105 | + blockchain = Blockchain(difficulty=4) |
| 106 | + |
| 107 | + # Add new blocks |
| 108 | + blockchain.add_block("Transaction 1: Alice pays Bob 5 BTC") |
| 109 | + blockchain.add_block("Transaction 2: Bob pays Charlie 3 BTC") |
| 110 | + |
| 111 | + # Verify the integrity of the blockchain |
| 112 | + assert blockchain.is_chain_valid() == True, "Blockchain should be valid" |
| 113 | + |
| 114 | + # Tamper with the blockchain and check validation |
| 115 | + blockchain.chain[1].transactions = "Transaction 1: Alice pays Bob 50 BTC" # Tampering the transaction |
| 116 | + assert blockchain.is_chain_valid() == False, "Blockchain should be invalid due to tampering" |
| 117 | + |
| 118 | + print("All test cases passed.") |
| 119 | + |
| 120 | +if __name__ == "__main__": |
| 121 | + test_blockchain() |
| 122 | + |
| 123 | +""" |
| 124 | +# Output: |
| 125 | +- Block mined with nonce X, hash: 0000abcd... |
| 126 | +- Block mined with nonce Y, hash: 0000xyz... |
| 127 | +- Block mined with nonce Z, hash: 0000pqrs... |
| 128 | +- All test cases passed. |
| 129 | +""" |
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