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» Lower bounds for modal logics
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93
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CORR
2010
Springer
149views Education» more  CORR 2010»
14 years 10 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
80
Voted
JACM
2002
122views more  JACM 2002»
14 years 10 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
91
Voted
STACS
2007
Springer
15 years 4 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
99
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FUIN
2000
115views more  FUIN 2000»
14 years 10 months 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
FUZZIEEE
2007
IEEE
15 years 4 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