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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

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.

##### Approach: Corpus-based Meta-Mathematics
In this title we have three components that warrant explanation: 
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. 
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. 
3. **Corpus-based**: we do this as a natural science by looking at data (i.e. corpora of
documents and formalizations).

##### KWARC Process
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).

#### Recent News ([see all](/news/))
 
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