So in short the Omnichain Execution Environment present on our Root Chain which is Arbitrum works like a Finite State Machine where there are a set of possible interactions which in turn set forth state changes. This state includes things like token balances available on each connected chain. On the omnichain environment we can find a Root Port (keeps track of address mappings accross chains and balances), a set of Bridge Agents (manage requests made to the root port act as middlemen to the permissionless root routers) and a mirroring amount of Root Routers (1:1 with RootBridgeAgents, interact with the Omnichain dApps like Hermes Maia and Talos in name of the user just like UniswapRouter executes trades on Uniswap for the user). Each Root Router can have N Branch Routers N being the number of chains where Ulysses is active. So starting from the branch chain a user would send a request to a root router who can perform a set actions in preparation for the cross chain request, the request is then sent to the BridgeAgent which checks the inputs and credits user balance into the local chain's Branch Port issuing a receipt, attaching it to the header of the user message where the payload is the execution data to be performed on the corresponding root router on the omnichain environment and communicating with LayerZero messaging layer. Once this message arrives in the Omnichain env the corresponding Root Bridge Agent will verify the receipt written by its partner and credit the correct amount of assets to the corresponding Root Router and giving it any perms necessary for the requested action in question. The request is the relayed to the root router which will execute the callData received. If this action demands the clearance of tokens to another branch chain the root router will simply send a request to the bridge agent who will deposit the necessary assets in the root port and relay the data to the destination branch chain so that token clearance can take place. Ulysses is and open ended system comprised of a set of immutable and modular components with upmost composability and versatility in mind. Providing a toolkit for developers to easily create bridgeless Omnichain dApps with native support for Unified Liquidity.

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