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» Complexity Results for Modal Dependence Logic
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CADE
2003
Springer
14 years 7 months ago
Optimizing Higher-Order Pattern Unification
Abstract. We present an abstract view of existential variables in a dependently typed lambda-calculus based on modal type theory. This allows us to justify optimizations to pattern...
Brigitte Pientka, Frank Pfenning
HYBRID
2001
Springer
13 years 12 months ago
Robust Controller Synthesis for Hybrid Systems Using Modal Logic
Abstract. In this paper, we formulate and robustly solve a quite general class of hybrid controller synthesis problems. The type of controller we investigate is the switching contr...
Thomas Moor, Jennifer M. Davoren
AAAI
2007
13 years 9 months ago
Prime Implicates and Prime Implicants in Modal Logic
The purpose of this paper is to extend the notions of prime implicates and prime implicants to the basic modal logic K. We consider a number of different potential definitions of...
Meghyn Bienvenu
CORR
2010
Springer
141views Education» more  CORR 2010»
13 years 7 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
LICS
1994
IEEE
13 years 11 months ago
On the Parallel Complexity of Model Checking in the Modal Mu-Calculus
The modal mu-calculus is an expressive logic that can be used to specify safety and liveness properties of concurrent systems represented as labeled transition systems (LTSs). We ...
Shipei Zhang, Oleg Sokolsky, Scott A. Smolka