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New Opportunities for the Formal Proof of Computational Real Geometry?
[article]
2020
arXiv
pre-print
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 [Ábrahám, Davenport, England, Kremer, Deciding the Consistency of Non-Linear Real
arXiv:2004.04034v1
fatcat:gmyqt67c2ncypffethxo4ahvga