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Diffstat (limited to 'chapters/core/soundness-proof/02-soundness-of-translation.tex')
| -rw-r--r-- | chapters/core/soundness-proof/02-soundness-of-translation.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/chapters/core/soundness-proof/02-soundness-of-translation.tex b/chapters/core/soundness-proof/02-soundness-of-translation.tex index 4477581..83c0f26 100644 --- a/chapters/core/soundness-proof/02-soundness-of-translation.tex +++ b/chapters/core/soundness-proof/02-soundness-of-translation.tex @@ -1,7 +1,7 @@ \subsection{Soundness of Translation} \label{sec:soundness-of-translation} -We need to prove that for each ONNX operator a semantically equivalent IN is produced. +We need to prove that for each ONNX operator, a semantically equivalent IN is produced. \begin{lemma} The ONNX ReLU operator for an input tensor X and output tensor Y is defined as: @@ -20,7 +20,7 @@ Which is identical to the ONNX definition. \end{lemma} \begin{lemma} -The ONNX Gemm operator for input tensors A, B, C, input $\alpha$ and $\beta$ and output tensor Y is defined as: +The ONNX Gemm operator for input tensors A, B, C, input $\alpha$ and $\beta$, and output tensor Y is defined as: $$ Y = \alpha \cdot A \cdot B + \beta \cdot C $$ |