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...
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...
Local (first order) sentences, introduced by Ressayre, enjoy very nice decidability properties, following from some stretching theorems stating some remarkable links between the ...
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...
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...