Can you implement Sharding in a Blockchain with Proof of Work? And in a Blockchain with Proof of Stake? Thank you for clarification.
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Yes, sharding is planned to be implemented during PoW and transition to full PoS. For details, see: R&D - Sharding introduction and R&D Compendium - Sharding FAQ - Proof of Stake FAQ – James Ray May 5 '18 at 6:58