Buchberger, Bruno and Craciun, Adrian and Jebelean, Tudor and Kovacs, Laura and Temur, Kutsia and Koji, Nakagawa and Piroi, Florina and Popov, Nikolaj and Robu, Judit and Rosenkranz, Markus and Windsteiger, Wolfgang (2006) Theorema: Towards computer-aided mathematical theory exploration. Journal of Applied Logic, 4 (4). pp. 470-504. ISSN 1570-8683. (doi:10.1016/j.jal.2005.10.006) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
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Theorema is a project that aims at supporting the entire process of mathematical theory exploration within one coherent logic and software system. This survey paper illustrates the style of Theorema-supported mathematical theory exploration by a case study (the automated synthesis of an algorithm for the construction of Groebner Bases) and gives an overview on some reasoners and organizational tools for theory exploration developed in the Theorema project.