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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
CAV
2000
Springer
197views Hardware» more  CAV 2000»
13 years 8 months ago
Bounded Model Construction for Monadic Second-Order Logics
Address: Abstraction, Composition, Symmetry, and a Little Deduction: The Remedies to State Explosion . . . . . . . . . . . . . . . . . . . . . . . . . . 1 A. Pnueli Invited Address...
Abdelwaheb Ayari, David A. Basin
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
CSL
2009
Springer
13 years 11 months ago
On the Parameterised Intractability of Monadic Second-Order Logic
One of Courcelle’s celebrated results states that if C is a class of graphs of bounded tree-width, then model-checking for monadic second order logic (MSO2) is fixed-parameter t...
Stephan Kreutzer
ENTCS
2006
117views more  ENTCS 2006»
13 years 4 months ago
Monadic Second-Order Logic and Transitive Closure Logics over Trees
Model theoretic syntax is concerned with studying the descriptive complexity of grammar formalisms for natural languages by defining their derivation trees in suitable logical for...
Hans-Jörg Tiede, Stephan Kepser