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COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 9 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
CSR
2007
Springer
14 years 2 months ago
Ruling Out Polynomial-Time Approximation Schemes for Hard Constraint Satisfaction Problems
The maximum constraint satisfaction problem (Max CSP) is the following computational problem: an instance is a finite collection of constraints on a set of variables, and the goal...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
ICDT
2007
ACM
141views Database» more  ICDT 2007»
14 years 2 months ago
Exact XML Type Checking in Polynomial Time
Stay macro tree transducers (smtts) are an expressive formalism for reasoning about XSLT-like document transformations. Here, we consider the exact type checking problem for smtts....
Sebastian Maneth, Thomas Perst, Helmut Seidl
ASIACRYPT
2010
Springer
13 years 6 months ago
Constant-Size Commitments to Polynomials and Their Applications
We introduce and formally define polynomial commitment schemes, and provide two efficient constructions. A polynomial commitment scheme allows a committer to commit to a polynomial...
Aniket Kate, Gregory M. Zaverucha, Ian Goldberg
PLANX
2007
13 years 9 months ago
Deciding Equivalence of Top-Down XML Transformations in Polynomial Time
Many useful XML transformations can be formulated through deterministic top-down tree transducers. A canonical form for such transducers is presented which allows to decide equiva...
Sebastian Maneth, Helmut Seidl