Tools and Algorithms for the Construction and Analysis of Systems

Volume 5505 of the series Lecture Notes in Computer Science pp 230-245

Static Analysis Techniques for Parameterised Boolean Equation Systems

  • Simona OrzanAffiliated withEindhoven University of Technology
  • , Wieger WesselinkAffiliated withEindhoven University of Technology
  • , Tim A. C. WillemseAffiliated withEindhoven University of Technology


Parameterised Boolean Equation Systems (PBESs) can be used to encode and solve various types of model checking and equivalence checking problems. PBESs are typically solved by symbolic approximation or by instantiation to Boolean Equation Systems (BESs). The latter technique suffers from something similar to the state space explosion problem and we propose to tackle it by static analysis techniques, which we tailor for PBESs. We introduce a method to eliminate redundant parameters and a method to detect constant parameters. Both lead to a better performance of the instantiation and they can sometimes even reduce problems that are intractable due to the infinity of the underlying BES to tractable ones.