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» Expressing Cardinality Quantifiers in Monadic Second-Order L...
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131
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AIML
2008
15 years 1 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»
16 years 7 days 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
PODS
2002
ACM
117views Database» more  PODS 2002»
16 years 7 days ago
Monadic Datalog and the Expressive Power of Languages for Web Information Extraction
Research on information extraction from Web pages (wrapping) has seen much activity in recent times (particularly systems implementations), but little work has been done on formal...
Georg Gottlob, Christoph Koch
88
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RTA
2005
Springer
15 years 5 months ago
Automata and Logics for Unranked and Unordered Trees
In this paper, we consider the monadic second order logic (MSO) and two of its extensions, namely Counting MSO (CMSO) and Presburger MSO (PMSO), interpreted over unranked and unord...
Iovka Boneva, Jean-Marc Talbot
CORR
2004
Springer
176views Education» more  CORR 2004»
14 years 12 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard