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» PSPACE Bounds for Rank-1 Modal Logics
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CADE
2006
Springer
13 years 8 months ago
Presburger Modal Logic Is PSPACE-Complete
We introduce a Presburger modal logic PML with regularity constraints and full Presburger constraints on the number of children that generalize graded modalities, also known as num...
Stéphane Demri, Denis Lugiez
JAPLL
2010
133views more  JAPLL 2010»
13 years 3 months ago
Complexity of modal logics with Presburger constraints
We introduce the extended modal logic EML with regularity constraints and full Presburger constraints on the number of children that generalize graded modalities, also known as nu...
Stéphane Demri, Denis Lugiez
CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 4 months ago
On the Complexity of Elementary Modal Logics
Modal logics are widely used in computer science. The complexity of modal satisfiability problems has been investigated since the 1970s, usually proving results on a case-by-case b...
Edith Hemaspaandra, Henning Schnoor
LPAR
2007
Springer
13 years 11 months ago
The Complexity of Temporal Logic with Until and Since over Ordinals
Abstract. We consider the temporal logic with since and until modalities. This temporal logic is expressively equivalent over the class of ordinals to first-order logic thanks to ...
Stéphane Demri, Alexander Rabinovich
STACS
2010
Springer
13 years 11 months ago
Branching-time Model Checking of One-counter Processes
One-counter processes (OCPs) are pushdown processes which operate only on a unary stack alphabet. We study the computational complexity of model checking computation tree logic (CT...
Stefan Göller, Markus Lohrey