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Axiom is a computer algebra system. It consists of an interpreter,
a compiler and a library of algorithms. Axiom is an excellent research
platform as well as a useful tool for scientific programming.
An implementation of the Joint Generation Algorithm of Fredman and Khachiyan for the computation of a dual pair of monotone boolean formulas in DNF (hypergraph transversals, extreme rays of polyhedral cones...). User-replaceable oracle.
A system for computer algebra and symbolic mathematics
OpenAxiom is an open source Computer Algebra System. It offers an interactive environment, an expressive programming language, a compiler, a large set of mathematical libraries of interest to researchers and practitioners of computational sciences.
The interactive mathematical programming system GYWOPT is released as free software. It has been developed since early 2000 for experiments with the Integral Basis Method for integer programming by U.-U. Haus, M. Köppe and R. Weismantel.