We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Abstract. We study the succinctness of monadic second-order logic and a variety of monadic fixed point logics on trees. All these languages are known to have the same expressive p...
Abstract. We prove that a finitely generated group is context-free whenever its Cayleygraph has a decidable monadic second-order theory. Hence, by the seminal work of Muller and Sc...
Interesting properties of programs can be expressed using contextual equivalence. The latter is difficult to prove directly, hence (pre-)logical relations are often used as a tool ...
It is a well-known result of Fagin that the complexity class NP coincides with the class of problems expressible in existential second-order logic ( 1 1), which allows sentences c...