Staged assertions and implicit inference provide compile-time tensor shape safety with a mathematical guarantee on generated code, without proof obligations.
First, since N′(0) 0 is a closed term byN (0) 0 −→0 N′(0) 0 , we have[N (0) 0 /x]N′(0)= N′(0) 0
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Compile-Time Tensor Shape Checking via Staged Shape-Dependent Types
Staged assertions and implicit inference provide compile-time tensor shape safety with a mathematical guarantee on generated code, without proof obligations.