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» Model Checking and the Mu-calculus
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LICS
1994
IEEE
14 years 3 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
CAV
2003
Springer
160views Hardware» more  CAV 2003»
14 years 4 months ago
Fast Mu-Calculus Model Checking when Tree-Width Is Bounded
We show that the model checking problem for µ-calculus on graphs of bounded tree-width can be solved in time linear in the size of the system. The result is presented by first sh...
Jan Obdrzálek
ICALP
2009
Springer
14 years 11 months ago
Complexity of Model Checking Recursion Schemes for Fragments of the Modal Mu-Calculus
Ong has shown that the modal mu-calculus model checking problem (equivalently, the alternating parity tree automaton (APT) acceptance problem) of possibly-infinite ranked trees gen...
Naoki Kobayashi, C.-H. Luke Ong
ICALP
1997
Springer
14 years 2 months ago
Model Checking the Full Modal Mu-Calculus for Infinite Sequential Processes
In this paper we develop a new elementary algorithm for model-checking infinite sequential processes, including context-free processes, pushdown processes, and regular graphs, tha...
Olaf Burkart, Bernhard Steffen
SLOGICA
2008
126views more  SLOGICA 2008»
13 years 11 months ago
On the Proof Theory of the Modal mu-Calculus
We study the proof-theoretic relationship between two deductive systems for the modal mu-calculus. First we recall an infinitary system which contains an omega rule allowing to de...
Thomas Studer