Analysis of Search Based Algorithms for Satisfiability of Quantified Boolean Formulas Arising from Circuit State Space Diameter Problems

نویسندگان

  • Daijue Tang
  • Yinlei Yu
  • Darsh Ranjan
  • Sharad Malik
چکیده

The sequential circuit state space diameter problem is an important problem in sequential verification. Bounded model checking is complete if the state space diameter of the system is known. By unrolling the transition relation, the sequential circuit state space diameter problem can be formulated as an evaluation for satisfiability of a Quantified Boolean Formula (QBF). This has prompted research in QBFs in the verification community. Most of existing QBF algorithms, such as those based on the DPLL SAT algorithm, are search based. We show that using search based QBF algorithms to calculate the state space diameter of sequential circuits with existing problem formulations is no better than an explicit state space enumeration method. This result holds independent of the representation of the QBF formula. This result is important as it highlights the need to explore non-search based or hybrid of search and non-search based QBF algorithms for the sequential circuit state space diameter problem.

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تاریخ انتشار 2004