ΩMEGA: Resource Adaptive Processes in an Automated Reasoning System Serge Autexier, Christoph Benzmüller, Dominik Dietrich, Jörg Siekmann Abstract This paper summarises and gives an overview of the development of the mathematical assistant system ΩMEGA in the years 1995 till the end of 2007,funded by the basic research institution SFB 378 of the German National Science Founda- tion (DFG). 1 Motivation and Historical Background The ΩMEGA project and its predecessor, the MKRP-system, grew out of the prin- cipal dissatisfaction with the methodology and lack of success of the search based “logic engines” of the nineteen sixties and seventies. In the mid 1970s, the paradigm shift from purely search based general purpose mechanisms in AI – such as the general problem solver (GPS) to knowledge based systems as hallmarked by Carl Hewitts work (Hewitt, 1972) – did not leave the theo- rem proving communities without effect either. Examples are Pat Hayes’ article “An Arraignment of Theorem-Proving; or The Logician’s Folly” (Hayes and Anderson, 1972) or the well-known quotation that motivated Woody Bledsoe’s work: Serge Autexier DFKI GmbH and Saarland University, Campus, Geb. E11, 66123 Saarbrücken, Germany e-mail:
[email protected] Christoph Benzmüller FR 6.2 Informatik, Saarland University, Campus, Geb. E11, 66123 Saarbrücken, Germany e-mail:
[email protected] Dominik Dietrich FR 6.2 Informatik, Saarland University, Campus, Geb. E11, 66123 Saarbrücken, Germany e-mail:
[email protected] Jörg Siekmann DFKI GmbH and Saarland University, Campus, Geb. E11, 66123 Saarbrücken, Germany e-mail:
[email protected] 1 2 Serge Autexier, Christoph Benzmüller, Dominik Dietrich, Jörg Siekmann “Automated Theorem Proving is not the beautiful process we know as mathematics.