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CSL
2006
Springer
15 years 3 months ago
Infinite State Model-Checking of Propositional Dynamic Logics
Model-checking problems for PDL (propositional dynamic logic) and its extension PDL (which includes the intersection operator on programs) over various classes of infinite state sy...
Stefan Göller, Markus Lohrey
95
Voted
IPL
2008
65views more  IPL 2008»
15 years 3 months ago
On the fixed-parameter tractability of parameterized model-checking problems
In this note, we show, through the use of examples, how generic results for proving fixed-parameter tractability which apply to restricted classes of structures can sometimes be m...
Iain A. Stewart
134
Voted
MST
2008
141views more  MST 2008»
15 years 3 months ago
From a Zoo to a Zoology: Towards a General Theory of Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky
131
Voted
SIAMCOMP
2008
84views more  SIAMCOMP 2008»
15 years 3 months ago
Resolution Is Not Automatizable Unless W[P] Is Tractable
We show that neither Resolution nor tree-like Resolution is automatizable unless the class W[P] from the hierarchy of parameterized problems is fixed-parameter tractable by randomi...
Michael Alekhnovich, Alexander A. Razborov
107
Voted
ORDER
2010
96views more  ORDER 2010»
15 years 2 months ago
More Sublattices of the Lattice of Local Clones
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at ...
Michael Pinsker