Congratulations, you just invented Merged Mining: you can mine Bitcoin, and your Negative Coin, while working on the same block headers. Some of your hashes will be accepted only in Bitcoin, and others only in your Negative Coin. But because there is no overlapping, then you will have no block, which would be valid in both networks at the same time.
I don't understand. How can this work in a mutually exclusive condition
No single hash can satisfy both chains, preventing true merged mining.
Some of your hashes will be accepted only in Bitcoin, and others only in your Negative Coin.
So the hashrate would be split but I thought Merged mining allows a single hash to secure both chains
In what I could understand from your post,
miners would need to compute separate block headers for each chain and check hashes against both criteria
Like they are working in parallel.
The core idea behind Negative-Coin also searches for a valid hash, just after a NOT gate. but when when look into the matched-hash from a binary point of view, it looks like a pattern, but we still need to find a match for bits field in block header.
Okay. I think am getting close to understanding where you coming from
The condition is either this or that not both which I believe rule out the fact it's merged mining.
Miners must work on separate block headers for each chain, as transactions and merkle roots differ.