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» Decidability of MSO Theories of Tree Structures
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LFCS
2007
Springer
14 years 1 months ago
Verifying Balanced Trees
Abstract. Balanced search trees provide guaranteed worst-case time performance and hence they form a very important class of data structures. However, the self-balancing ability co...
Zohar Manna, Henny B. Sipma, Ting Zhang
CORR
2007
Springer
98views Education» more  CORR 2007»
13 years 7 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
CORR
2007
Springer
133views Education» more  CORR 2007»
13 years 7 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
CSL
2006
Springer
13 years 11 months ago
On Rational Trees
Rational graphs are a family of graphs defined using labelled rational transducers. Unlike automatic graphs (defined using synchronized transducers) the first order theory of these...
Arnaud Carayol, Christophe Morvan
CIE
2006
Springer
13 years 11 months ago
Undecidability in the Homomorphic Quasiorder of Finite Labeled Forests
Abstract. We prove that the homomorphic quasiorder of finite k-labeled forests has undecidable elementary theory for k 3, in contrast to the known decidability result for k = 2. W...
Oleg V. Kudinov, Victor L. Selivanov