SAT-based explicit LTL reasoning and its application to satisfiability checking


We present here a new explicit reasoning framework for linear temporal logic (LTL), which is built on top of propositional satisfiability (SAT) solving. The crux of our approach is a construction of temporal transition system that is based on SAT-solving rather than tableau to construct states and transitions. As a proof-of-concept of this framework, we describe a new LTL satisfiability algorithm. We tested the effectiveness of this approach by demonstrating that it significantly outperforms all existing LTL-satisfiability-checking algorithms.

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The authors thank anonymous reviewers for useful comments. The work is supported in part by NSF Grants CCF-1319459, by NSF Expeditions in Computing project “ExCAPE: Expeditions in Computer Augmented Program Engineering”, and by BSF Grant 9800096. Jianwen Li is partially supported by NSFC Projects No. 61572197 and No. 61632005. Geguang Pu is partially supported by MOST NKTSP Project 2015BAG19G02 (Grant No. ZF1213) and STCSM Project No. 16DZ1100600. Lijun Zhang is supported by NSFC Grant No. 61532019.

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Correspondence to Geguang Pu.

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Li, J., Zhu, S., Pu, G. et al. SAT-based explicit LTL reasoning and its application to satisfiability checking. Form Methods Syst Des 54, 164–190 (2019).

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  • Satisfiability checking
  • Linear temporal logic
  • SAT-based LTL checking