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20082023
most citedTruth Table Invariant Cylindrical Algebraic Decomposition

61 citations · 693 across the 58 of their papers we have counts for

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Showing 2018Show all

8 papers · 1 filter

cs.SC2018★ 2 cited

Non-linear Real Arithmetic Benchmarks derived from Automated Reasoning in Economics

C. Mulligan, R. Bradford, J. H. Davenport +2

We consider problems originating in economics that may be solved automatically using mathematical software. We present and make freely available a new benchmark set of such problem…

cs.SC2018★ 12 cited

TheoryGuru: A Mathematica Package to apply Quantifier Elimination

C. Mulligan, J. H. Davenport, M. England

We consider the use of Quantifier Elimination (QE) technology for automated reasoning in economics. There is a great body of work considering QE applications in science and enginee…

cs.SC2018★ 14 cited

Machine Learning for Mathematical Software

M. England

While there has been some discussion on how Symbolic Computation could be used for AI there is little literature on applications in the other direction. However, recent results for…

cs.SC2018★ 1 cited

Towards Incremental Cylindrical Algebraic Decomposition in Maple

Alexander Imani Cowen-Rivers, Matthew England

Cylindrical Algebraic Decomposition (CAD) is an important tool within computational real algebraic geometry, capable of solving many problems for polynomial systems over the reals.…

cs.SC2018★ 3 cited

Quantifier Elimination for Reasoning in Economics

Casey B. Mulligan, Russell Bradford, James H. Davenport +2

We consider the use of Quantifier Elimination (QE) technology for automated reasoning in economics. QE dates back to Tarski's work in the 1940s with software to perform it dating t…

cs.SC2018★ 22 cited

Using Machine Learning to Improve Cylindrical Algebraic Decomposition

Zongyan Huang, Matthew England, David Wilson +2

Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. How…