Passing the time a request has left along with each downstream call, so services stop work the original caller has already given up on, is called blank.

Answer

Passing the time a request has left along with each downstream call, so services stop work the original caller has already given up on, is called deadline propagation.

Also accepted: deadline passing, deadlines for deadline propagation.

Why

gRPC supports this directly. Without it, a request that timed out at the edge can keep doing expensive work in every service below.

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