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CSL
2005
Springer
14 years 2 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
DIMACS
1996
13 years 10 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
90views Education» more  CORR 2010»
13 years 8 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
LOPSTR
2007
Springer
14 years 2 months ago
Termination Analysis of Logic Programs Based on Dependency Graphs
This paper introduces a modular framework for termination analysis of logic programming. To this end, we adapt the notions of dependency pairs and dependency graphs (which were dev...
Manh Thang Nguyen, Jürgen Giesl, Peter Schnei...
DALT
2004
Springer
14 years 2 months ago
The Logic of Communication Graphs
In 1992, Moss and Parikh studied a bimodal logic of knowledge and effort called Topologic. In this current paper, Topologic is extended to the case of many agents who are assumed...
Eric Pacuit, Rohit Parikh