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JSYML
2002
170views more  JSYML 2002»
13 years 4 months ago
Representability in Second-Order Propositional Poly-Modal Logic
A propositional system of modal logic is second-order if it contains quantifiers p and p, which, in the standard interpretation, are construed as ranging over sets of possible worl...
Gian Aldo Antonelli, Richmond H. Thomason
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
ICALP
2009
Springer
13 years 8 months ago
Boundedness of Monadic Second-Order Formulae over Finite Words
Abstract. We prove that the boundedness problem for monadic secondorder logic over the class of all finite words is decidable.
Achim Blumensath, Martin Otto, Mark Weyer
FUIN
2010
83views more  FUIN 2010»
13 years 2 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
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