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
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
In this title we have three components that warrant explanation:
S1. **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
* 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
documents and formalizations)>
## Research Approach
We approach Corpus-Based Meta-Mathematics (iteratively) in three steps:
1.**Analysis**: we analyze the corpora for patterns and structures.
2.**Synthesis**: we design and build meta-artefacts (languages, algorithms, and systems)
and derive data sets from the corpora.
3.**Experimentation** we evaluate the representation languages and algorithms on the
corpora and the systems on end users (mathematicians).
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