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The complexity of semilinear problems in succinct representation
Citation key BCN-The-Complexity-Of-Semilinear-Problems-In-Succinct-Representation-1
Author Peter Bürgisser and Felipe Cucker and Paulin Jacobé de Naurois
Title of Book Proceedings of 15th International Symposium on Fundamentals of Computation Theory
Pages 479-490
Year 2005
Address Lübeck
Number 3623
Month August 17-20
Publisher Springer
Series Lecture Notes in Computer Science
Abstract We prove completeness results for twenty three problems in semilinear geometry. These results involve semilinear sets given by additive circuits as input data. If arbitrary real constants are allowed in the circuit, the completeness results are for the Blum-Shub-Smale additive model of computation. If, in contrast, the circuit is constant-free, then the completeness results are for the Turing model of computation. One such result, the P^NP[log]-completeness of deciding Zariski irreducibility, exhibits for the first time a problem with a geometric nature complete in this class.
Link to publication [1] Link to original publication [2] Download Bibtex entry [3]
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