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» Monadic second-order logic on tree-like structures
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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
CSL
2010
Springer
13 years 6 months ago
New Algorithm for Weak Monadic Second-Order Logic on Inductive Structures
We present a new algorithm for model-checking weak monadic second-order logic on inductive structures, a class of structures of bounded clique width. Our algorithm directly manipul...
Tobias Ganzow, Lukasz Kaiser
CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 4 months ago
Compatibility of Shelah and Stupp's and Muchnik's iteration with fragments of monadic second order logic
We investigate the relation between the theory of the iterations in the sense of Shelah-Stupp and of Muchnik, resp., and the theory of the base structure for several logics. These ...
Dietrich Kuske
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
LICS
1998
IEEE
13 years 9 months ago
Existential Second-Order Logic over Strings
d abstract) T. Eiter G. Gottlob Y. Gurevich Institut fur Informatik Institut fur Informationssysteme EECS Department Universitat Gie en Technische Universitat Wien University of Mi...
Thomas Eiter, Georg Gottlob, Yuri Gurevich