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authorYann Herklotz <git@yannherklotz.com>2021-09-12 20:55:43 +0100
committerYann Herklotz <git@yannherklotz.com>2021-09-12 20:55:43 +0100
commit311999d1c74ea03b57e7113335e0d2c88fa8f8cf (patch)
tree0877aa4f9496ff78d9d496e844bd008049cae326
parent34f1cfc20a999cb4937a00d335ad0fee75d65760 (diff)
downloadoopsla21_fvhls-311999d1c74ea03b57e7113335e0d2c88fa8f8cf.tar.gz
oopsla21_fvhls-311999d1c74ea03b57e7113335e0d2c88fa8f8cf.zip
Remove unnecessary sentence
-rw-r--r--proof.tex2
1 files changed, 1 insertions, 1 deletions
diff --git a/proof.tex b/proof.tex
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+++ b/proof.tex
@@ -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, assuming that the behaviour is safe.
+ We write \texttt{tr\_htl} for the translation from 3AC to HTL.
\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*}