International Workshop on Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing pp 119-134 | Cite as

Simplification of Cylindrical Algebraic Formulas

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9301)

Abstract

For a set S of cells in a cylindrical algebraic decomposition of ℝn, we introduce the notion of generalized cylindrical algebraic formula (GCAF) associated with S. We propose a multi-level heuristic algorithm for simplifying the cylindrical algebraic formula associated with S into a GCAF. The heuristic strategies are motivated by solving examples coming from the application of automatic loop transformation. While the algorithm works well on these examples, its effectiveness is also illustrated by examples from other application domains.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent TechnologyChinese Academy of SciencesChongqingChina
  2. 2.ORCCA, University of Western OntarioLondonCanada

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