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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains
verfasst von : Russell Bradford, Changbo Chen, James H. Davenport, Matthew England, Marc Moreno Maza, David Wilson
Erschienen in: Computer Algebra in Scientific Computing
Verlag: Springer International Publishing
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A new algorithm to compute cylindrical algebraic decompositions (CADs) is presented, building on two recent advances. Firstly, the output is truth table invariant (a TTICAD) meaning given formulae have constant truth value on each cell of the decomposition. Secondly, the computation uses regular chains theory to first build a cylindrical decomposition of complex space (CCD) incrementally by polynomial. Significant modification of the regular chains technology was used to achieve the more sophisticated invariance criteria. Experimental results on an implementation in the
RegularChains
Library for
Maple
verify that combining these advances gives an algorithm superior to its individual components and competitive with the state of the art.