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CSL
2010
Springer
14 years 10 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin
AISC
2006
Springer
15 years 1 months ago
An Algorithm for Computing the Complete Root Classification of a Parametric Polynomial
Abstract. The Complete Root Classification for a univariate polynomial with symbolic coefficients is the collection of all the possible cases of its root classification, together w...
Songxin Liang, David J. Jeffrey
FCT
2005
Springer
15 years 3 months ago
The Complexity of Semilinear Problems in Succinct Representation
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 co...
Peter Bürgisser, Felipe Cucker, Paulin Jacob&...
MFCS
2009
Springer
15 years 4 months ago
Parameterized Complexity Classes under Logical Reductions
Abstract. The parameterized complexity classes of the W -hierarchy are usually defined as the problems reducible to certain natural complete problems by means of fixed-parameter ...
Anuj Dawar, Yuguo He
COCO
1989
Springer
110views Algorithms» more  COCO 1989»
15 years 1 months ago
The Complexity of Iterated Multiplication
For a monoid G, the iterated multiplication problem is the computation of the product of n elements from G. By re ning known completeness arguments, we show that as G varies over ...
Neil Immerman, Susan Landau