Titlebook: Automated Deduction in Geometry; Third International Jürgen Richter-Gebert,Dongming Wang Conference proceedings 2001 Springer-Verlag Berli

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Algebraic and Semialgebraic Proofs: Methods and Paradoxes,The aim of the present paper is the following:

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Decision Complexity in Dynamic Geometry,Geometric straight-line programs [.,.] can be used to model geometric constructions and their implicit ambiguities. In this paper we discuss the complexity of deciding whether two instances of the same geometric straight-line program are connected by a continuous path, the ..

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Automated Deduction in Geometry978-3-540-45410-6Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Higher-Grade Metamorphic Associations,f quadratic complexity for constraint problems with loops. This algorithm is complete for constraint problems about simple polygons. The key of the algorithm is to combine the idea of graph based methods for geometric constraint solving and geometric transformations from rule-based methods.

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Higher-Grade Metamorphic Associations,on. This extends the well-known Schwartz’s probabilistic test for the vanishing of polynomials. The probabilistic test forms the basis of a new theorem prover for conjectures about ruler & compass constructions. Our implementation uses the Core Library which can perform exact comparison for .. Some experimental results are presented.

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https://doi.org/10.1007/3-540-33092-5ors that the theory behind this topic would profit from more algebraic tools and more methods from commutative algebra. The scope of this paper is to begin to fill such a gap. In particular we bring to the forefront important notions such as ..

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Higher-Grade Metamorphic Associations,f quadratic complexity for constraint problems with loops. This algorithm is complete for constraint problems about simple polygons. The key of the algorithm is to combine the idea of graph based methods for geometric constraint solving and geometric transformations from rule-based methods.

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Finding or Acquiring Giant Deposits,solve the Birkhoff Interpolation Problem. We recall and partly improve two algorithms to find at least one point in each connected component of a real algebraic set defined by a single equation or a system of polynomial equations, both based on the computation of the critical points of a distance fu