Staged assertions and implicit inference provide compile-time tensor shape safety with a mathematical guarantee on generated code, without proof obligations.
8.Ifδ(p,(c i)k i=1) =q, then: k= ar(p), and there exist a sequence(T (0) i )k i=1 andT ′(0)such that: B0(p) = (x 1 :T (0) 1 )→···→(xk :T (0) k )→T′(0), and T
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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.