Sciweavers

37 search results - page 2 / 8
» On decidability of monadic logic of order over the naturals ...
Sort
View
FSTTCS
2010
Springer
13 years 3 months ago
First-Order Logic with Reachability Predicates on Infinite Systems
This paper focuses on first-order logic (FO) extended by reachability predicates such that the expressiveness and hence decidability properties lie between FO and monadic second-o...
Stefan Schulz
LICS
2006
IEEE
13 years 11 months ago
Monadic Chain Logic Over Iterations and Applications to Pushdown Systems
Logical properties of iterations of relational structures are studied and these decidability results are applied to the model checking of a powerful extension of pushdown systems....
Dietrich Kuske, Markus Lohrey
FUIN
2010
83views more  FUIN 2010»
13 years 2 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
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
JCT
2007
107views more  JCT 2007»
13 years 5 months ago
Vertex-minors, monadic second-order logic, and a conjecture by Seese
We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a p...
Bruno Courcelle, Sang-il Oum