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COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 7 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
13 years 11 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»
13 years 11 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 3 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 7 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