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arXiv · 1711.00312

The Potential and Challenges of CAD with Equational Constraints for SC-Square

James H. Davenport·Matthew England
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Abstract

Cylindrical algebraic decomposition (CAD) is a core algorithm within Symbolic Computation, particularly for quantifier elimination over the reals and polynomial systems solving more generally. It is now finding increased application as a decision procedure for Satisfiability Modulo Theories (SMT) solvers when working with non-linear real arithmetic. We discuss the potentials from increased focus on the logical structure of the input brought by the SMT applications and SC-Square project, particularly the presence of equational constraints. We also highlight the challenges for exploiting these: primitivity restrictions, well-orientedness questions, and the prospect of incrementality.

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James H. Davenport, Matthew England. 2017-11-01. The Potential and Challenges of CAD with Equational Constraints for SC-Square. https://doi.org/10.1007/978-3-319-72453-9_22

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