Parallel arithmetic computations: a survey
Proceedings of the 12th symposium on Mathematical foundations of computer science 1986
On the topology of algorithms, I
Journal of Complexity
Fast algorithms for N-dimensional restrictions of hard problems
Journal of the ACM (JACM)
Structural complexity 1
Complexity of deciding Tarski algebra
Journal of Symbolic Computation
A note on a P ≠ NP result for a restricted class of real machines
Journal of Complexity
Point location in arrangements of hyperplanes
Information and Computation
Computing over the reals with addition and order
Selected papers of the workshop on Continuous algorithms and complexity
Accessible telephone directories
Journal of Symbolic Logic
On Computing Algebraic Functions using Logarithms andExponentials
SIAM Journal on Computing
Computing over the reals with addition and order: higher complexity classes
Journal of Complexity
Complexity lower bounds for computation trees with elementary transcendental function gates
Theoretical Computer Science - Special issue on complexity theory and the theory of algorithms as developed in the CIS
On the combinatorial and algebraic complexity of quantifier elimination
Journal of the ACM (JACM)
On the Power of Real Turing Machines over Binary Inputs
SIAM Journal on Computing
A weak version of the Blum, Shub, and Smale model
Journal of Computer and System Sciences - Special issue: dedicated to the memory of Paris Kanellakis
Complexity and real computation
Complexity and real computation
Elimination of constants from machines over algebraically closed fields
Journal of Complexity
Are lower bounds easier over the reals?
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Handbook of discrete and computational geometry
Handbook of discrete and computational geometry
A Polynomial Linear Search Algorithm for the n-Dimensional Knapsack Problem
Journal of the ACM (JACM)
Topological complexity of the range searching
Journal of Complexity
Complexity of Quantifier Elimination in the Theory of Algebraically Closed Fields
Proceedings of the Mathematical Foundations of Computer Science 1984
Complexity of quantifier elimination in the theory of ordinary differential equations
EUROCAL '87 Proceedings of the European Conference on Computer Algebra
VC Dimension in Circuit Complexity
CCC '96 Proceedings of the 11th Annual IEEE Conference on Computational Complexity
Algebraic Complexity Theory
An efficient algorithm for the sign condition problem in the semi-algebraic context
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
VPSPACE and a transfer theorem over the complex field
MFCS'07 Proceedings of the 32nd international conference on Mathematical Foundations of Computer Science
On the complexity of the multivariate resultant
Journal of Complexity
Hi-index | 0.00 |
This survey is devoted to some aspects of the "P = NP ?" problem over the real numbers and more general algebraic structures. We argue that given a structure M, it is important to find out whether NPM problems can be solved by polynomial depth computation trees, and if so whether these trees can be efficiently simulated by circuits. Point location, a problem of computational geometry, comes into play in the study of these questions for several structures of interest.