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The ability to *represent knowledge about the world* and to *draw logical inferences* is one of the central components of intelligent behavior, as a consequence, reasoning components of some form are at the heart of many artificial intelligence systems.
-## Research
+#### Research
The KWARC research group conducts research in knowledge representation and reasoning techniques with a view towards applications in knowledge management.
We extend techniques from [formal methods](http://kwarc.info/semantics.html#fm) so that they can be used in settings where formalization is either infeasible or too costly.
We concentrate on developing techniques for marking up the [structural semantics](http://kwarc.info/semantics.html#ssem) in technical documents.
This level of markup allows for offering interesting [knowledge management services](http://kwarc.info/projects/) without forcing the author to formalize the document contents.
-## Research Domain/Strategy: Corpus-based Meta-Mathematics
+#### Research Domain/Strategy: Corpus-based Meta-Mathematics
In this title we have three components that warrant explanation:
-S1. **Mathematics**: we use the mathematical knowledge and mathematical documents as a test
+1. **Mathematics**: we use the mathematical knowledge and mathematical documents as a test
tube for our research as the knowledge and document structures are quite explicit and
overt and the content of mathematics is well-understood. Anything that has the same
properties we consider to be "mathematics" as well.
-S2. **Meta**: we develop Meta-Artefacts, i.e. we
+2. **Meta**: we develop Meta-Artefacts, i.e. we
* design **representation languages** (logics) that allow to talk *about* mathematical objects,
their properties, and relations,
* invent **algorithms** that analyze and transform these representations, and
* implement them in **end-user systems** that utilize both.
-S3. **Corpus-based**: we do this as a natural science by looking at data (i.e. corpora of
+3. **Corpus-based**: we do this as a natural science by looking at data (i.e. corpora of
documents and formalizations)>
## Research Approach