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» Model Transformations in Decidability Proofs for Monadic The...
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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
CORR
2007
Springer
98views Education» more  CORR 2007»
13 years 5 months ago
Transforming structures by set interpretations
We consider a new kind of interpretation over relational structures: finite sets interpretations. Those interpretations are defined by weak monadic second-order (WMSO) formulas w...
Thomas Colcombet, Christof Löding
GG
2004
Springer
13 years 10 months ago
Composition of Path Transductions
We propose to study two infinite graph transformations that we respectively call bounded and unbounded path transduction. These graph transformations are based on path substitutio...
Tanguy Urvoy
CORR
2007
Springer
133views Education» more  CORR 2007»
13 years 5 months ago
On Decidability Properties of Local Sentences
Local (first order) sentences, introduced by Ressayre, enjoy very nice decidability properties, following from some stretching theorems stating some remarkable links between the ...
Olivier Finkel
JACM
2002
122views more  JACM 2002»
13 years 4 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer