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JACM
2002
122views more  JACM 2002»
13 years 4 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»
13 years 4 months 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
13 years 4 months 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
ACL
1998
13 years 6 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
CSL
2008
Springer
13 years 6 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
CSL
2004
Springer
13 years 10 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 ...