AMMs benefit both LPs and exchange users with accessible liquidity provision and exchange, especially for illiquid assets. Despite the apparent advantages, AMMs are often characterized by high slippage and divergence loss, two implicit economic risks imposed on the funds of exchange users and LPs respectively which Luntivo aims to solve in the Terra Ecosystem. Moreover, AMM-based DEX are associated with myriads of security and privacy issues. Throughout the last three years, new protocols have been introduced to the market one after another with incremental improvements, attempting to tackle different issues which had been identified as weak spots in a previous version. On top of that, new use cases are being addressed, and new applications of AMM iterations are proposed to the market. While innovative in certain aspects, the various AMM protocols generally consist of the same set of composed mechanisms to allow for multiple functionalities of the system. As such, these systems are structurally similar, and their main differences lie in parameter choices and/or mechanism adaptations.