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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
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
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
PLANX
2007
13 years 6 months ago
XML Transformation Language Based on Monadic Second Order Logic
Although monadic second-order logic (MSO) has been a foundation of XML queries, little work has attempted to take MSO formulae themselves as a programming construct. Indeed, MSO f...
Kazuhiro Inaba, Haruo Hosoya
STACS
2001
Springer
13 years 9 months ago
A Toolkit for First Order Extensions of Monadic Games
In 1974 R. Fagin proved that properties of structures which are in NP are exactly the same as those expressible by existential second order sentences, that is sentences of the form...
David Janin, Jerzy Marcinkowski