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» Circle graphs and monadic second-order logic
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CSL
2005
Springer
13 years 10 months ago
The Modular Decomposition of Countable Graphs: Constructions in Monadic Second-Order Logic
We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Bruno Courcelle, Christian Delhommé
LATA
2009
Springer
13 years 11 months ago
Monadic Second-Order Logic for Graphs: Algorithmic and Language Theoretical Applications
This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-w...
Bruno Courcelle
DIMACS
1996
13 years 6 months ago
On the Expression of Graph Properties in some Fragments of Monadic Second-Order Logic
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
Bruno Courcelle
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 4 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari