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AML
1999
135views more  AML 1999»
13 years 4 months ago
Random graphs in the monadic theory of order
We continue the works of Gurevich-Shelah and Lifsches-Shelah by showing that it is consistent with ZFC that the first-order theory of random graphs is not interpretable in the mon...
Shmuel Lifsches, Saharon Shelah
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
JAPLL
2006
114views more  JAPLL 2006»
13 years 4 months ago
The monadic second-order logic of graphs XV: On a conjecture by D. Seese
A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation defined by monad...
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
GG
2004
Springer
13 years 10 months ago
Composition of Path Transductions
We propose to study two infinite graph transformations that we respectively call bounded and unbounded path transduction. These graph transformations are based on path substitutio...
Tanguy Urvoy