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» An Algebra of Pareto Points
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LICS
2000
IEEE
15 years 2 months ago
Complete Axioms for Categorical Fixed-Point Operators
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Alex K. Simpson, Gordon D. Plotkin
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
14 years 11 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
ESA
2003
Springer
141views Algorithms» more  ESA 2003»
15 years 2 months ago
Jacobi Curves: Computing the Exact Topology of Arrangements of Non-singular Algebraic Curves
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
Nicola Wolpert
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
14 years 8 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
HYBRID
2010
Springer
15 years 4 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan