This paper differs from those approaches in the sense that it does not require a core language in which all extensions need to be expressible.
\subsection{Comparison}
+\todo[inline]{text moet beter}
There is no silver bullet to embedding \glspl{DSL}.
-\Citet{sun_compositional_2022} provided a thorough comparison of embedding techniques including more axes than just the two state in the expression problem.
+\Citet{sun_compositional_2022} provided a thorough comparison of embedding techniques including more axes than just the two statet in the expression problem.
-\Cref{tbl:dsl_comparison} shows an extended version of their comparison table.
-Shallow includes regular shallow embedding.
-Deep includes regular deep embedding and deep embedding with \glspl{GADT}.
-Hybrid includes the many variants of hybrid embeddings.
-Poly includes polymorphic embeddings, tagless-final embedding, and object algebras, as providing a unified encoding that allows extension both in language constructs and views.
-Finally, classy denotes classy deep embedding.
+\Cref{tbl:dsl_comparison} shows a variant of their comparison table.
+The first two rows describe the two axes of the original expression problem and the third row describes theadded axis of modular dependency handling as stated by \citeauthor{sun_compositional_2022}.
+The \emph{poly.} style of embedding---including tagless-final---falls short of this requirement.
+
+Intensional analysis is an umbrella term for pattern matching and transformations.
+In shallow embedding, intensional analysis is more complex and requires stateful views describing context but it is possible to implement though.
+
+Simple type system describes the whether it is possible to encode this embedding technique with many type system extensions.
+In classy deep embedding, there is either a bit more scaffolding and boilerplate required or advanced type system extensions need to be used.
+
+Little boilerplate denotes the amount of scaffolding and boilerplate required.
+For example, hybrid embedding requires a transcoding step between the deep syntax and the shallow core language.
\begin{table}[ht]
\begin{threeparttable}[b]
\small
- \caption{Comparison of embedding techniques, adapted from \citet[\citesection{3.6}]{sun_compositional_2022}}%
- \label{tbl:dsl_comparison}
+ \caption{Comparison of embedding techniques, extended from \citet[\citesection{3.6}]{sun_compositional_2022}.}%
+ \label{tbl:dsl_comparison_brief}
\begin{tabular}{llllllll}
\toprule
- & Shallow & Deep & Hybrid & Poly & Comp. & \`a la & Classy\\
+ & Shallow & Deep & Hybrid
+ & Poly. & Comp. & \`a la
+ & Classy\\
\midrule
- Extend constructs & \CIRCLE{} & \Circle{} & \LEFTcircle{}\tnote{1} & \CIRCLE{} & \CIRCLE{} & \Circle{} & \CIRCLE{}\\
- Extend interpretations & \Circle{} & \CIRCLE{} & \CIRCLE{} & \CIRCLE{} & \CIRCLE{} & \CIRCLE{} & \CIRCLE{}\\
- Transcoding free & \CIRCLE{} & \CIRCLE{} & \Circle{} & \CIRCLE{} & \CIRCLE{} & \CIRCLE{} & \CIRCLE{}\\
- Linguistic reuse & \CIRCLE{} & \Circle{} & \LEFTcircle{}\tnote{1} & \CIRCLE{} & \CIRCLE{} & \Circle{} & \Circle{}\\
- Transformations & \Circle{} & \CIRCLE{} & \CIRCLE{} & \LEFTcircle\tnote{2} & \LEFTcircle\tnote{2} & \CIRCLE{} & \CIRCLE{}\\
- Modular dependencies & \Circle{} & \LEFTcircle{} & \LEFTcircle{} & \CIRCLE{} & \CIRCLE{} & \LEFTcircle{} & \CIRCLE{}\\
- Nested pattern matching & \Circle{} & \CIRCLE{} & \CIRCLE{} & \Circle{} & \LEFTcircle{} & \CIRCLE{} & \LEFTcircle{}\tnote{3}\\
- Type safe & \CIRCLE{} & \LEFTcircle{} & \Circle{} & \CIRCLE{} & \CIRCLE{} & \LEFTcircle{} & \CIRCLE{}\\
+ Extend constructs & \CIRCLE{} & \Circle{} & \LEFTcircle{}\tnote{1}
+ & \CIRCLE{} & \CIRCLE{} & \CIRCLE{}
+ & \CIRCLE{}\\
+ Extend views & \Circle{} & \CIRCLE{} & \CIRCLE{}
+ & \CIRCLE{} & \CIRCLE{} & \CIRCLE{}
+ & \CIRCLE{}\\
+ Modular dependencies & \Circle{} & \CIRCLE{} & \CIRCLE{}
+ & \Circle{} & \CIRCLE{} & \CIRCLE{}
+ & \CIRCLE{}\\
+ Intensional analysis & \LEFTcircle{}\tnote{2} & \CIRCLE{} & \CIRCLE{}
+ & \LEFTcircle{}\tnote{2} & \LEFTcircle{}\tnote{2} & \CIRCLE{}
+ & \LEFTcircle{}\tnote{3}\\
+ Simple type system & \CIRCLE{} & \CIRCLE{} & \Circle{}
+ & \CIRCLE{} & \CIRCLE{} & \Circle{}
+ & \LEFTcircle{}\tnote{4}\\
+ Little boilerplate & \CIRCLE{} & \CIRCLE{} & \Circle{}
+ & \CIRCLE{} & \CIRCLE{} & \Circle{}
+ & \LEFTcircle{}\tnote{4}\\
\bottomrule
\end{tabular}
\begin{tablenotes}
- \item [1] Only in the shallowly embedded part.
- \item [2] Transformations require some ingenuity and are sometimes awkward to write.
- \item [3] It requires some---safe---form of dynamic typing.
+ \item [1] Only if the extension is expressible in the core language.
+ \item [2] Requires ingenuity and are sometimes awkward to write.
+ \item [3] Cross-extensional pattern matching requires \emph{safe} dynamic typing.
+ \item [4] Either a simple type system or little boilerplate.
\end{tablenotes}
\end{threeparttable}
\end{table}
-
-
\section*{Acknowledgements}
This research is partly funded by the Royal Netherlands Navy.
Furthermore, I would like to thank Pieter and Rinus for the fruitful discussions, Ralf for inspiring me to write a functional pearl, and the anonymous reviewers for their valuable and honest comments.