In the paper we present LGS -- a geometric constraint solver developed at LEDAS Ltd. We review different approaches in geometric constraint solving, present our one, describe in details LGS architecture and the ideas behind it. The main idea of LGS is to decompose the initial problem into a set of simpler ones, to map each instance to a class of problems, and to apply a specialized algorithm to each class. We emphasize key differences of our approach: extendible hierarchy of problem classes, new decomposition techniques, a broad range of numerical algorithms.

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  2. Kawanoue, Hiraku; Matsuki, Kenji: Toward resolution of singularities over a field of positive characteristic (The idealistic filtration program). II: Basic invariants associated to the idealistic filtration and their properties (2010)
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  8. Ershov, Alexey; Ivanov, Ilia; Preis, Serge; Rukoleev, Eugene; Ushakov, Dmitry: LGS: geometric constraint solver (2003)
  9. Nikolaidou, Maria: Time and space-efficient method for the determination of a longest common subsequence of several sequences (2000)
  10. Papula, Lothar: Mathematics for engineers and scientists. A text and workbook for undergraduate courses (2000)
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