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» The complexity of temporal logic over the reals
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APAL
2010
117views more  APAL 2010»
13 years 11 months ago
The complexity of temporal logic over the reals
It is shown that the decision problem for the temporal logic with until and since connectives over real-numbers time is PSPACE-complete. This is the most practically useful dense ...
M. Reynolds
IANDC
2007
66views more  IANDC 2007»
13 years 10 months ago
Quantitative temporal logics over the reals: PSpace and below
In many cases, the addition of metric operators to qualitative temporal logics (TLs) increases the complexity of satisfiability by at least one exponential: while common qualitat...
Carsten Lutz, Dirk Walther, Frank Wolter
FORMATS
2010
Springer
13 years 8 months ago
Robust Satisfaction of Temporal Logic over Real-Valued Signals
Abstract. We consider temporal logic formulae specifying constraints in continuous time and space on the behaviors of continuous and hybrid dynamical system admitting uncertain par...
Alexandre Donzé, Oded Maler
CORR
2010
Springer
141views Education» more  CORR 2010»
13 years 11 months ago
The complexity of linear-time temporal logic over the class of ordinals
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 by Kamp's theore...
Stéphane Demri, Alexander Rabinovich
LPAR
2007
Springer
14 years 5 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