I want to know the relationship between Polkadot consensus and Honey Badger BFT (HBBFT). Is Polkadot's consensus using HBBFT?
No, Polkadot's consensus doesn't use HBBFT. When the original vision paper was written (https://polkadot.network/PolkaDotPaper.pdf), it was mentioned as a possible component or inspiration for research to be done later. But Polkadot ended up using a custom hybrid consensus mechanism composed of BABE and GRANDPA. Neither of these use threshold encryption or are asynchronously live (which is the hallmark of HBBFT).