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diff --git a/introduction.tex b/introduction.tex
index c96e795..d2ec9cc 100644
--- a/introduction.tex
+++ b/introduction.tex
@@ -42,7 +42,7 @@ The contributions of this paper are as follows:
 \begin{itemize}
   \item We present \vericert{}, the first mechanically verified HLS tool that compiles C to Verilog. In Section~\ref{sec:design}, we describe the design of \vericert{}, including a few optimisations related to memory accesses and division.
   \item We state the correctness theorem of \vericert{} with respect to an existing semantics for Verilog due to \citet{loow19_proof_trans_veril_devel_hol}. In Section~\ref{sec:verilog}, we describe how we extended this semantics to make it suitable as an HLS target.
-  \item In Section~\ref{sec:proof}, we describe how we proved the correctness theorem. The proof follows standard \compcert{} techniques -- forward simulations, intermediate specifications, and determinism results -- but we encountered several challenges peculiar to our hardware-oriented setting.  These include handling discrepancies between byte- and word-addressable memories, different handling of unsigned comparisons between C and Verilog, correctly mapping CompCert's memory model onto a finite Verilog array and finally correctly rearranging memory reads and writes so that these behave properly as a RAM in hardware.
+  \item In Section~\ref{sec:proof}, we describe how we proved the correctness theorem. The proof follows standard \compcert{} techniques -- forward simulations, intermediate specifications, and determinism results -- but we encountered several challenges peculiar to our hardware-oriented setting.  These include handling discrepancies between byte- and word-addressable memories, different handling of unsigned comparisons between C and Verilog, correctly mapping \compcert{}'s memory model onto a finite Verilog array and finally correctly rearranging memory reads and writes so that these behave properly as a RAM in hardware.
   \item In Section~\ref{sec:evaluation}, we evaluate \vericert{} on the \polybench{} benchmark suite~\cite{polybench}, and compare the performance of our generated hardware against an existing, unverified HLS tool called \legup{}~\cite{canis11_legup}. We show that \vericert{} generates hardware that is \slowdownOrig$\times$ slower (\slowdownDiv$\times$ slower in the absence of division) and \areaIncr$\times$ larger than that generated by \legup{}. We intend to bridge this performance gap in the future by introducing (and verifying) HLS optimisations of our own, such as scheduling and memory analysis.
 \end{itemize}
 %\JW{This sentence seems pretty good to me; is it up-to-date with the latest `challenges' you've faced?}