SAT-Based Explicit LTLf Satisfiability Checking

  • Jianwen Li Iowa State University
  • Kristin Y. Rozier Iowa State University
  • Geguang Pu East China Normal University
  • Yueling Zhang East China Normal University
  • Moshe Y. Vardi Rice University


We present a SAT-based framework for LTLf (Linear Temporal Logic on Finite Traces) satisfiability checking. We use propositional SAT-solving techniques to construct a transition system for the input LTLf formula; satisfiability checking is then reduced to a path-search problem over this transition system. Furthermore, we introduce CDLSC (Conflict-Driven LTLf Satisfiability Checking), a novel algorithm that leverages information produced by propositional SAT solvers from both satisfiability and unsatisfiability results. Experimental evaluations show that CDLSC outperforms all other existing approaches for LTLf satisfiability checking, by demonstrating an approximate four-fold speed-up compared to the second-best solver.

AAAI Technical Track: Knowledge Representation and Reasoning