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ICALP
2009
Springer
13 years 9 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
JSYML
2008
105views more  JSYML 2008»
13 years 5 months ago
Finite state automata and monadic definability of singular cardinals
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
Itay Neeman
AIML
2008
13 years 6 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
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 5 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
CONCUR
2006
Springer
13 years 7 months ago
Model Checking Quantified Computation Tree Logic
Propositional temporal logic is not suitable for expressing properties on the evolution of dynamically allocated entities over time. In particular, it is not possible to trace such...
Arend Rensink