SMT-based Symbolic Model-Checking for Operator Precedence Languages
CoRR(2024)
摘要
Operator Precedence Languages (OPL) have been recently identified as a
suitable formalism for model checking recursive procedural programs, thanks to
their ability of modeling the program stack. OPL requirements can be expressed
in the Precedence Oriented Temporal Logic (POTL), which features modalities to
reason on the natural matching between function calls and returns, exceptions,
and other advanced programming constructs that previous approaches, such as
Visibly Pushdown Languages, cannot model effectively. Existing approaches for
model checking of POTL have been designed following the explicit-state,
automata-based approach, a feature that severely limits their scalability. In
this paper, we give the first symbolic, SMT-based approach for model checking
POTL properties. While previous approaches construct the automaton for both the
POTL formula and the model of the program, we encode them into a (sequence of)
SMT formulas. The search of a trace of the model witnessing a violation of the
formula is then carried out by an SMT-solver, in a Bounded Model Checking
fashion. We carried out an experimental evaluation, which shows the
effectiveness of the proposed solution.
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