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Sharding is a way to address scalability problem in blockchain technologies.Ethereum, a prominent blockchain technology, has included sharding in itsroadmap to increase its throughput. The plan is also to include multipleexecution environments.  We address the problem of atomic cross shard value transfer in the presenceof multiple execution environments. We leverage on the proposed Ethereumarchitecture, more specificially on Beacon chain and crosslinks, and propose asolution on top of the netted-balance approach that was proposed for EE-levelatomic \eth transfers. We split a cross-shard transfer into two transactions: adebit and a credit. First, the debit transaction is processed at the sourceshard. The corresponding credit transaction is processed at the destinationshard in a subsequent block. We use {\em netted} shard states as channels tocommunicate pending credits and pending reverts. We discuss various scenariosof debit failures and credit failures, and show our approach ensures atomicityeven in the presence of a Byzantine Block proposer.  The benefits of our approach are that we do not use any locks nor impose anyconstraints on the Block Proposer to select specific transactions. However weinherit the limitation of an expensive operation from the netted-balanceapproach of querying partial states from all other shards. We also show a boundon the size of such inter-shard state reads.

Algorithm for Cross-shard Cross-EE Atomic User-level ETH Transfer in Ethereum