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CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 7 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
TCS
2002
13 years 7 months ago
Monadic second-order logic on tree-like structures
An operation M which constructs from a given structure M a tree-like structure whose domain consists of the finite sequences of elements of M is considered. A notion of automata r...
Igor Walukiewicz
LICS
2006
IEEE
14 years 1 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
ICALP
2004
Springer
14 years 22 days ago
On the Expressive Power of Monadic Least Fixed Point Logic
Monadic least fixed point logic MLFP is a natural logic whose expressiveness lies between that of first-order logic FO and monadic second-order logic MSO. In this paper we take ...
Nicole Schweikardt
CAV
2000
Springer
197views Hardware» more  CAV 2000»
13 years 11 months ago
Bounded Model Construction for Monadic Second-Order Logics
Address: Abstraction, Composition, Symmetry, and a Little Deduction: The Remedies to State Explosion . . . . . . . . . . . . . . . . . . . . . . . . . . 1 A. Pnueli Invited Address...
Abdelwaheb Ayari, David A. Basin