Sciweavers

96
Voted
JACM
2002
122views more  JACM 2002»
14 years 12 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
APAL
2005
93views more  APAL 2005»
15 years 5 days ago
Logical aspects of Cayley-graphs: the group case
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...
Dietrich Kuske, Markus Lohrey
BIRTHDAY
2010
Springer
15 years 14 days ago
Decidable Expansions of Labelled Linear Orderings
Let M = (A, <, P) where (A, <) is a linear ordering and P denotes a finite sequence of monadic predicates on A. We show that if A contains an interval of order type or -, an...
Alexis Bès, Alexander Rabinovich
86
Voted
ACL
1998
15 years 1 months ago
A Descriptive Characterization of Tree-Adjoining Languages (Project Note)
Since the early Sixties and Seventies it has been known that the regular and context-free languages arc characterized by definability in the monadic second-order theory of certain...
James Rogers
90
Voted
CSL
2008
Springer
15 years 2 months ago
Model Transformations in Decidability Proofs for Monadic Theories
We survey two basic techniques for showing that the monadic second-order theory of a structure is decidable. In the first approach, one deals with finite fragments of the theory (g...
Wolfgang Thomas
95
Voted
CSL
2004
Springer
15 years 5 months ago
The Boundary Between Decidability and Undecidability for Transitive-Closure Logics
To reason effectively about programs, it is important to have some version of a transitive-closure operator so that we can describe such notions as the set of nodes reachable from ...
Neil Immerman, Alexander Moshe Rabinovich, Thomas ...