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» Circle graphs and monadic second-order logic
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AIML
2008
14 years 11 months ago
A modal perspective on monadic second-order alternation hierarchies
abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy ...
Antti Kuusisto
STACS
2001
Springer
15 years 1 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
DLT
2004
14 years 11 months ago
Recognizable Sets of Graphs, Hypergraphs and Relational Structures: A Survey
New results on the recognizability of sets of finite graphs, hypergraphs and relational structures are presented. The general framework of this research which associates tightly a...
Bruno Courcelle
FOSSACS
2009
Springer
15 years 4 months ago
Separating Graph Logic from MSO
Abstract. Graph logic (GL) is a spatial logic for querying graphs introduced by Cardelli et al. It has been observed that in terms of expressive power, this logic is a fragment of ...
Timos Antonopoulos, Anuj Dawar
CONCUR
2004
Springer
15 years 2 months ago
Verifying Finite-State Graph Grammars: An Unfolding-Based Approach
We propose a framework where behavioural properties of finite-state systems modelled as graph transformation systems can be expressed and verified. The technique is based on the ...
Paolo Baldan, Andrea Corradini, Barbara König