Staged assertions and implicit inference provide compile-time tensor shape safety with a mathematical guarantee on generated code, without proof obligations.
Thus, we can derive Γ,Γ ′⊢0 [N′(0)/x]T (0) 1 Γ,Γ ′,x′: (T (0) 1 )0⊢0 [N′(0)/x]T (0) 2 Γ,Γ ′⊢0 (x′: [N′(0)/x]T (0) 1 )→[N′(0)/x]T (0) 2 Wf0-Arr The other cases are straightforward
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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.