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CORR
2007
Springer
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13 years 4 months ago
Automatic Structures: Richness and Limitations
We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a...
Bakhadyr Khoussainov, André Nies, Sasha Rub...
CSL
2006
Springer
13 years 8 months ago
Game Quantification on Automatic Structures and Hierarchical Model Checking Games
Game quantification is an expressive concept and has been studied in model theory and descriptive set theory, especially in relation to infinitary logics. Automatic structures on t...
Lukasz Kaiser
LICS
2000
IEEE
13 years 8 months ago
Automatic Structures
We study definability and complexity issues for automatic and ω-automatic structures. These are, in general, infinite structures but they can be finitely presented by a collec...
Achim Blumensath, Erich Grädel
LICS
2008
IEEE
13 years 10 months ago
From Automatic Structures to Borel Structures
We study the classes of B¨uchi and Rabin automatic structures. For B¨uchi (Rabin) automatic structures their domains consist of infinite strings (trees), and the basic relation...
Greg Hjorth, Bakhadyr Khoussainov, Antonio Montalb...