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» The complexity of first-order and monadic second-order logic...
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CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 5 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
IANDC
2007
111views more  IANDC 2007»
13 years 5 months ago
Expressiveness and complexity of graph logic
We investigate the complexity and expressive power of a spatial logic for reasoning about graphs. This logic was previously introduced by Cardelli, Gardner and Ghelli, and provide...
Anuj Dawar, Philippa Gardner, Giorgio Ghelli
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 5 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
PODS
2008
ACM
143views Database» more  PODS 2008»
14 years 5 months ago
XPath, transitive closure logic, and nested tree walking automata
We consider the navigational core of XPath, extended with two operators: the Kleene star for taking the transitive closure of path expressions, and a subtree relativisation operat...
Balder ten Cate, Luc Segoufin
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 2 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...