Boolean Satisfiability Solvers and Their Applications in Model Checking

@article{Vizel2015BooleanSS,
  title={Boolean Satisfiability Solvers and Their Applications in Model Checking},
  author={Yakir Vizel and Georg Weissenbacher and Sharad Malik},
  journal={Proceedings of the IEEE},
  year={2015},
  volume={103},
  pages={2021-2035}
}
Boolean satisfiability (SAT)-the problem of determining whether there exists an assignment satisfying a given Boolean formula-is a fundamental intractable problem in computer science. SAT has many applications in electronic design automation (EDA), notably in synthesis and verification. Consequently, SAT has received much attention from the EDA community, who developed algorithms that have had a significant impact on the performance of SAT solvers. EDA researchers introduced techniques such as… 

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References

SHOWING 1-10 OF 91 REFERENCES

Boolean Satisfiability Solvers: Techniques and Extensions

Boolean Satisfiability (SAT) is the problem of checking if a propositional logic formula can ever evaluate to true and manifests itself in several important application domains such as the design and verification of hardware and software systems, as well as applications in artificial intelligence.

An Analysis of SAT-Based Model Checking Techniques in an Industrial Environment

The paper describes eight bounded and unbounded techniques, and analyzes the performance of these algorithms on a large and diverse set of hardware benchmarks.

Verification of proofs of unsatisfiability for CNF formulas

  • E. GoldbergY. Novikov
  • Computer Science
    2003 Design, Automation and Test in Europe Conference and Exhibition
  • 2003
This work describes an efficient procedure for checking the correctness of unsatisfiability proofs and finds an unsatisfiable core of the initial CNF formula.

Inprocessing Rules

The formal underpinnings of inprocessing SAT solving are established via an abstract inprocessing framework that covers a wide range of modern SAT solving techniques.

A survey of recent advances in SAT-based formal verification

A survey of the latest developments in SAT-based formal verification, including incomplete methods such as bounded model checking and complete methods for model checking, focuses on how the surveyed techniques formulate the verification problem as a SAT problem and how they exploit crucial aspects of a SAT solver.

Validating SAT solvers using an independent resolution-based checker: practical implementations and other applications

  • Lintao ZhangS. Malik
  • Computer Science
    2003 Design, Automation and Test in Europe Conference and Exhibition
  • 2003
The implementation of an independent resolution-based checking procedure that can check the validity of unsatisfiable claims produced by the SAT solver zchaff is described and Experimental results show low overhead for the checking process.

Interpolation with Guided Refinement: Revisiting incrementality in SAT-based unbounded model checking

The new model checking algorithm (IGR: Interpolation with Guided Refinement), partially takes inspiration from IC3 and interpolation sequences, and bases its robustness and scalability on incremental refinement of state sets, and guided unwinding/simplification of transition relation unrollings.

Interpolation-sequence based model checking

This work presents a novel SAT-based approach to full verification that combines BMC with interpolation-sequence in order to imitate BDD-based Symbolic Model Checking and compares favorably with McMillan's interpolation based model checking algorithm.

Preprocessing and Inprocessing Techniques in SAT

  • Armin Biere
  • Computer Science
    Haifa Verification Conference
  • 2011
An overview of old and more recent inprocessing and preprocessing techniques starting with ancient pure literal reasoning and failed literal probing and concluding with recent results on unhiding redundancy fast.
...