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On the parameterized complexity of approximate counting

J. Andrés Montoya (2011)

RAIRO - Theoretical Informatics and Applications

In this paper we study the parameterized complexity of approximating the parameterized counting problems contained in the class # W [ P ] , the parameterized analogue of # P . We prove a parameterized analogue of a famous theorem of Stockmeyer claiming that approximate counting belongs to the second level of the polynomial hierarchy.

On the syntactic complexity of tree series

Symeon Bozapalidis, Antonios Kalampakas (2010)

RAIRO - Theoretical Informatics and Applications

We display a complexity notion based on the syntax of a tree series which yields two distinct hierarchies, one within the class of recognizable tree series and another one in the class of non-recognizable tree series.

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