Projects per year

### Abstract

In the 1930s Tarski showed that real quantifier elimination was possible, and in 1975 Collins gave a remotely practicable method, albeit with doubly-exponential complexity, which was later shown to be inherent. We discuss some of the recent major advances in Collins' method: such as an alternative approach based on passing via the complexes, and advances which come closer to "solving the question asked" rather than "solving all problems to do with these polynomials".

Original language | English |
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Title of host publication | Automated Deduction in Geometry |

Subtitle of host publication | 10th International Workshop, ADG 2014, Coimbra, Portugal, July 9-11, 2014, Revised Selected Papers |

Editors | F. Botana, P. Quaresma |

Publisher | Springer |

Pages | 37-52 |

Number of pages | 16 |

ISBN (Print) | 9783319213613 |

DOIs | |

Publication status | Published - 31 Aug 2015 |

Event | 10th International Workshop on Automated Deduction in Geometry (ADG), 2014 - University of Coimbra , Coimbra, Portugal Duration: 9 Jul 2011 → 11 Jul 2011 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9201 |

### Workshop

Workshop | 10th International Workshop on Automated Deduction in Geometry (ADG), 2014 |
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Country | Portugal |

City | Coimbra |

Period | 9/07/11 → 11/07/11 |

## Fingerprint Dive into the research topics of 'Recent advances in real geometric reasoning'. Together they form a unique fingerprint.

## Projects

- 1 Finished

### Real Geometry and Connectedness via Triangular Description

Davenport, J., Bradford, R., England, M. & Wilson, D.

Engineering and Physical Sciences Research Council

1/10/11 → 31/12/15

Project: Research council

## Cite this

Davenport, J. H., & England, M. (2015). Recent advances in real geometric reasoning. In F. Botana, & P. Quaresma (Eds.),

*Automated Deduction in Geometry: 10th International Workshop, ADG 2014, Coimbra, Portugal, July 9-11, 2014, Revised Selected Papers*(pp. 37-52). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9201). Springer. https://doi.org/10.1007/978-3-319-21362-0_3