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Diffstat (limited to 'proof.tex')
| -rw-r--r-- | proof.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -45,7 +45,7 @@ The forward simulation from 3AC to HTL is stated in Lemma~\ref{lemma:htl} (Secti As HTL is quite far removed from 3AC, this first translation is the most involved and therefore requires a larger proof, because the translation from 3AC instructions to Verilog statements needs to be proven correct in this step. In addition to that, the semantics of HTL are also quite different to the 3AC semantics. Instead of defining small-step semantics for each construct in Verilog, the semantics are defined over one clock cycle and mirror the semantics defined for Verilog. Lemma~\ref{lemma:htl} shows the result that needs to be proven in this subsection. \begin{lemma}[Forward simulation from 3AC to HTL]\label{lemma:htl} - We write \texttt{tr\_htl} for the translation from 3AC to HTL. + Writing \texttt{tr\_htl} for the translation from 3AC to HTL, we have: \begin{equation*} \forall c, h, B \in \texttt{Safe},\quad \yhfunction{tr\_htl} (c) = \yhconstant{OK} (h) \land c \Downarrow B \implies h \Downarrow B. \end{equation*} |