diff --git a/research/index.md b/research/index.md index 29fee8484f8b626a491ced7eb11a76490f7fd0cb..27b521c20ceba85cce09e03f1648206d4af9b015 100644 --- a/research/index.md +++ b/research/index.md @@ -4,7 +4,11 @@ title: KWARC Research menu_title: Overview menu_order: 101 --- - The KWARC research group conducts research in knowledge representation with a view towards applications in knowledge management. We extend techniques from [formal methods](http://kwarc.info/research/formal-methods/) 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/structural-semantics) in technical documents. This level of markup allows for offering interesting [knowledge management services](http://kwarc.info/research/kminteract/) without forcing the author to fully formalize the document contents, we are working on methods for [semi-automated semantization](http://kwarc.info/research/semantization/). All in all, the research in the KWARC group is summarized in the schema below, which can be read as a pipeline from foundations (on the bottom) to applications (on the top). + The KWARC research group conducts research in knowledge representation with a view towards applications in knowledge management. + We extend techniques from [formal methods](formal-methods/) 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](structural-semantics/) in technical documents. + This level of markup allows for offering interesting [knowledge management services](kminteract/) without forcing the author to fully formalize the document contents, we are working on methods for [semi-automated semantization](semantization/). + All in all, the research in the KWARC group is summarized in the schema below, which can be read as a pipeline from foundations (on the bottom) to applications (on the top). <table> @@ -13,9 +17,9 @@ menu_order: 101 <td colspan="3"> <span style="font-weight:bold">Applications</span> eMath 3.0, - <a href="https://planetary.mathweb.org">Active Documents</a>, - <a href="https://trac.kwarc.info/sissi">Semantic Spreadsheets</a>, - <a href="https://trac.kwarc.info/FormalCAD">Semantic CAD/CAM</a>, + <a href="https://mathhub.info">Active Documents</a>, + <a href="../projects/SiSsI/">Semantic Spreadsheets</a>, + <a href="../projects/FormalCAD/">Semantic CAD/CAM</a>, Semantic Help Systems, Change Mangagement, ... </td> </tr> @@ -24,14 +28,14 @@ menu_order: 101 <span style="font-weight:bold">Foundations of Mathematics</span> <ul> <li><a href="https://omdoc.org">OMDoc</a></li> - <li>advanced Type Theories</li> <li><a href="http://uniformal.github.io">MMT: Modular Math Theories</a></li> - <li><a href="http://trac.omodoc.org/LATIN">Logic Morphisms/Atlas</a></li> - <li>Theorem Prover Interoperability</li> + <li><a href="../projects/latin">Logic Morphisms/Atlas</a></li> + <li>advanced Type Theories</li> + <li><a href="../projects/oaf/">Theorem Prover</a> and <a href="../projects/odk/">Computer Algebra</a> Interoperability</li> </ul> </td> <td> - <a href="http://kwarc.info/research/kminteract"><span style="font-weight:bold">Knowledge Mgt. & Interaction</span></a> + <a href="research/kminteract"><span style="font-weight:bold">Knowledge Mgt. & Interaction</span></a> <ul> <li>Semantic Interpretation</li> <li><a href="https://trac.omdoc.org/JOBAD">JOBAD: Document-Embedded Interaction</a></li> @@ -41,16 +45,16 @@ menu_order: 101 </ul> </td> <td> - <a href="http://kwarc.info/research/semantization"> + <a href="research/semantization"> <span style="font-weight:bold">Semantization</span> </a> <ul> - <li><a href="http://github.com/brucemiller/LaTeXML">LaTeX --> XML</a></li> - <li><a href="http://github.com/KWARC/sTeX">sTeX: Semantic LaTeX</a></li> + <li><a href="../systems/arXMLiv/">LaTeX --> XML</a></li> + <li><a href="../systems/sTeX/">sTeX: Semantic LaTeX</a></li> <li>invasive editors</li> <li>Context-Aware IDEs</li> <li>Mathematical Corpora</li> - <li><a href="https://github.com/KWARC/llamapun">Linguistics of Math</a></li> + <li><a href="../systems/llamapun/">Linguistics of Math</a></li> </ul> </td> </tr> @@ -58,7 +62,7 @@ menu_order: 101 <td colspan="3"> <span style="font-weight:bold">Foundations:</span> Computational Logic, - <a href="/formal-methods">Formal Methods</a>, + <a href="formal-methods/">Formal Methods</a>, <a href="http://www.w3.org/TR/MathML3/">MathML</a>, <a href="http://openmath.org">OpenMath</a> </td>