Sur la complexité du principe de Tarski-Seidenberg
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Publication:4713865
DOI10.24033/bsmf.2138zbMath0767.03017OpenAlexW136633354MaRDI QIDQ4713865
Pablo Solernó, Joos Heintz, Marie-Françoise Roy
Publication date: 25 June 1992
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1990__118_1_101_0
polynomial complexityreal closed fieldparallel modelsequential modelalgorithm for quantifier eliminationsimple exponential complexity
Analysis of algorithms and problem complexity (68Q25) Model-theoretic algebra (03C60) Global ground fields in algebraic geometry (14G25) Model theory of fields (12L12) Quantifier elimination, model completeness, and related topics (03C10)
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Cites Work
- Thom's lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets
- Precise sequential and parallel complexity bounds for quantifier elimination over algebraically closed fields
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- The complexity of elementary algebra and geometry
- The complexity of linear problems in fields
- Solving systems of polynomial inequalities in subexponential time
- Real quantifier elimination is doubly exponential
- Complexity of deciding Tarski algebra
- A new decision method for elementary algebra
- Spécialisation de la suite de Sturm et sous-résultants (I)
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