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Computational Logic Group
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2011-04-26T11:57:41Z
Jalonso
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The research activities of our group in the area of [http://www.cs.miami.edu/~tptp/OverviewOfATP.html automated theorem proving] begun at the end of the eighties, mainly focused on the application of algebraic methods (Gröbner basis) to deduction in multivalued logics.
In the first half of the nineties, our work was centred around the [http://www-unix.mcs.anl.gov/AR/otter/ OTTER] theorem prover, [http://rewriting.loria.fr/ term rewriting systems] and [http://www.win.tue.nl/~setalle/lp/tutorial.pdf logic programming].
In the second half of the nineties, we started to apply algebraic methods to the [http://www.csd.abdn.ac.uk/~apreece/Research/KQpage.html verification of knowledge-based systems]. In 1997, we begun our project to apply [http://www.afm.sbu.ac.uk/ formal methods] to the verification of [http://www-formal.stanford.edu/clt/ARS/systems.html reasoning systems]. Using [http://www.cs.utexas.edu/users/moore/acl2/ ACL2] we have developed a number of basic [[Theories|computational theories]] for automated deduction.
Currently, the group is formed by seven [[Group members|members]]. Our main research interests are:
* the study of techniques allowing to increase the efficiency of the algorithms of the computational theories previously developed,
* the application of the techniques developed to the verification, with the [http://pvs.csl.sri.com/ PVS] verification system, of other intelligent systems (like [http://www.upriss.org.uk/fca/fca.html formal concept analysis]), and
* the study of the validation of knowledge bases in complex ontologies and its applications to the [http://www.semanticweb.org/ Semantic Web].
During all these years, the group has been involved in several [[Projects|research projects]] with public financial support. At the same time, [[Related courses|education in Computational Logic]] has been one of our major concerns.