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) :⟨T(1)⟩ Γ⊢1∼N(0) :T (1) T1-Esc: By IH, fromΓ⊢0 N (0) :⟨T(1)⟩, we have one of the following cases: CaseN (0)−→0⇑L: We have N (0)−→0⇑L ∼N(0)−→1⇑L E1-EscF
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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.