report: review intro

doc/report/introduction.tex

@@ -9,17 +9,17 @@ is that computerization will yield great improvement to formal
 research by making the results of all collected publications readily
 available and easy to search.
 
-One research topic in this field is the idea of a \emph{tetrapodal
+One topic of research in this field is the idea of a \emph{tetrapodal
   search} that combines four distinct areas of mathematical knowledge.
 These four kinds being (1)~the actual formulae as \emph{symbolic
-knowledge}, (2)~examples and concrete objects as \emph{concrete knowledge},
-(3)~names and comments as \emph{narrative knowledge} and finally
-(4)~identifiers, references and their relationships, referred to as
-\emph{organizational knowledge}~\cite{tetra}.
+  knowledge}, (2)~examples and concrete objects as \emph{concrete
+  knowledge}, (3)~names and comments as \emph{narrative knowledge} and
+finally (4)~identifiers, references and their relationships, referred
+to as \emph{organizational knowledge}~\cite{tetra}.
 
 Tetrapodal search aims to provide a unified search engine that indexes
-each of the four different subsets of mathematical knowledge.  Because
-all four kinds of knowledge are inherently different in their
+each of these four different subsets of mathematical knowledge.
+Because all four kinds of knowledge are inherently unique in their
 structure, tetrapodal search proposes that each kind of mathematical
 knowledge should be made available in a storage backend that fits the
 kind of data it is providing. With all four areas available for
@@ -40,26 +40,27 @@ available~\cite{afpexport, uloisabelle, ulocoq}. The resulting data
 set is already quite large, the Isabelle export alone containing more
 than 200~million triplets.
 
-Existing exports from Isabelle and Coq result in a set of XML~files
+Existing exports from Isabelle and Coq result in sets of XML~files
 that contain RDF~triplets. This is a convenient format for exchange
 and easily tracked using version control systems such as
 Git~\cite{gitpaper} as employed by MathHub~\cite{mh}. However,
 considering the vast number of triplets, it is impossible to query
 easily and efficiently in this state. This is what \emph{ulo-storage}
-is focused on: Making ULO data sets accessible for querying and
+is focused on, that is making ULO data sets accessible for querying and
 analysis. We collected RDF files spread over different Git
 repositories, imported them into a database and then experimented with
 APIs for accessing that data set.
 
 The main contribution of \emph{ulo-storage} is twofold. First, (1)~we
-built up various infrastructure components for making organizational
-knowledge queryable.  These components can make up building blocks of
-a larger tetrapodal search system. Their design and implementation are
-discussed in Section~\ref{sec:implementation}.  Second, (2)~we ran
-sample prototype applications and queries on top of this
-interface. While the applications themselves are admittedly not very
-useful in itself, they can give us insight about future development of
-the upper level ontology. These applications and queries are the focus
-of Section~\ref{sec:applications}. A summary of encountered problems
-and suggestions for next steps concludes this report in
+built up various infrastructure components that make organizational
+knowledge easy to query.  These components can make up building blocks
+of a larger tetrapodal search system. Their design and implementation
+are discussed in Section~\ref{sec:implementation}.  Second, (2)~we ran
+prototype applications and queries on top of this
+infrastructure. While the applications themselves are admittedly not
+very useful in itself, they can give us insight about future
+development of the upper level ontology and related schemas. These
+applications and queries are the focus of
+Section~\ref{sec:applications}. A summary of encountered problems and
+suggestions for next steps concludes this report in
 Section~\ref{sec:conclusion}.