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» Lower bounds for modal logics
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CORR
2010
Springer
149views Education» more  CORR 2010»
15 years 15 days 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
97
Voted
JACM
2002
122views more  JACM 2002»
15 years 2 days 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
112
Voted
STACS
2007
Springer
15 years 6 months ago
Bounded-Variable Fragments of Hybrid Logics
Hybrid logics extend modal logics by first-order concepts, in particular they allow a limited use of variables. Unfortunately, in general, satisfiability for hybrid formulas is u...
Thomas Schwentick, Volker Weber
FUIN
2000
115views more  FUIN 2000»
15 years 6 days ago
Constructing the Least Models for Positive Modal Logic Programs
We give algorithms to construct the least L-model for a given positive modal logic program P, where L can be one of the modal logics KD, T, KDB, B, KD4, S4, KD5, KD45, and S5. If L...
Linh Anh Nguyen
107
Voted
FUZZIEEE
2007
IEEE
15 years 6 months ago
Toward Multiple-agent Extensions of Possibilistic Logic
— Possibilistic logic is essentially a formalism for handling qualitative uncertainty with an inference machinery that remains close to the one of classical logic. It is capable ...
Didier Dubois, Henri Prade