Analysis of Incomplete Circuits Using Dependency Quantified Boolean Formulas

  • Ralf WimmerEmail author
  • Karina Wimmer
  • Christoph Scholl
  • Bernd Becker


We consider Dependency Quantified Boolean Formulas (DQBFs), a generalization of Quantified Boolean Formulas (QBFs), and demonstrate that DQBFs are a natural calculus to exactly express the realizability problem of incomplete combinational and sequential circuits with an arbitrary number of (combinational or bounded-memory) black boxes. In contrast to usual approaches for controller synthesis, restrictions to the interfaces of missing circuit parts in distributed architectures are strictly taken into account. We present a solution method for DQBFs together with the extraction of Skolem functions for existential variables, which can directly serve as implementations for the black boxes. First experimental results are provided.


DQBF Synthesis Incomplete circuits Solver Skolem functions 


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Ralf Wimmer
    • 1
    Email author
  • Karina Wimmer
    • 1
  • Christoph Scholl
    • 1
  • Bernd Becker
    • 1
  1. 1.Institute of Computer ScienceAlbert-Ludwigs-Universität FreiburgFreiburg im BreisgauGermany

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