This post is a proposed solution to release the restrictions that exist in Ethereum opcode by using zk-SNARKs. Furthermore, I hope to use this idea to solve the challenges of the optimistic bridges.

We discover that negative liquidity is possible and construct an AMM to access the negative domain by allowing the price to go negative. The invariant for a negative price happens to be the formula for a circle and the liquidity distribution happens to have a power law tail. You can interact with and compare it to an RMM here. Most interesting points are outlined below with link to paper at the end.

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