# New Opportunities for the Formal Proof of Computational Real Geometry? (Extended Abstract)

@inproceedings{Abraham2020NewOF, title={New Opportunities for the Formal Proof of Computational Real Geometry? (Extended Abstract)}, author={Erika 'Abrah'am and James H. Davenport and Matthew England and Gereon Kremer and Zak Tonks}, booktitle={PAAR+SC²@IJCAI}, year={2020} }

The purpose of this paper is to explore the question "to what extent could we produce formal, machine-verifiable, proofs in real algebraic geometry?" The question has been asked before but as yet the leading algorithms for answering such questions have not been formalised. We present a thesis that a new algorithm for ascertaining satisfiability of formulae over the reals via Cylindrical Algebraic Coverings [Abraham, Davenport, England, Kremer, \emph{Deciding the Consistency of Non-Linear Real…

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