Staged assertions and implicit inference provide compile-time tensor shape safety with a mathematical guarantee on generated code, without proof obligations.
Case x′=⇒0 x′P0-V ar: We further do the following case analysis: Casex′̸=x: This is immediate since we have[N (0) 0 /x]N (0) = [N′(0) 0 /x]N′(0)=x′
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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.