Staged assertions and implicit inference provide compile-time tensor shape safety with a mathematical guarantee on generated code, without proof obligations.
Case Γ⊢0 N (0) 1 : (x:T (0) 11 )→T (0) 12 Γ⊢0 N (0) 2 :T (0) 11 Γ⊢0 N (0) 1 N (0) 2 : [N (0) 2 /x]T (0) 12 T0-App: By case analysis on the deriva- tion ofN (0)−→0 N′(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.