Satisfiability modulo theories (SMT) solvers that support quantifier instantiations via matching triggers can be programmed to give practical support for user-defined theories. Care must be taken to avoid so-called matching loops, which may prevent termination of the solver. By design, such avoidance limits the extent to which the SMT solver is able to apply the definitions of user-defined functions. For some inputs to these functions, however, it is instead desirable to allow unadulterated use of the functions; in particular, if it is known that evaluation will terminate.<\/p>\n\n\n\n
This paper describes the program verifier Dafny\u2019s SMT encoding of recursive user-defined functions. It then describes a novel encoding that, drawing on ideas from offline partial evaluation systems, lets the SMT solver evaluate \u201csafe\u201d function applications while guarding against matching loops for others.<\/p>\n","protected":false},"excerpt":{"rendered":"
Satisfiability modulo theories (SMT) solvers that support quantifier instantiations via matching triggers can be programmed to give practical support for user-defined theories. Care must be taken to avoid so-called matching loops, which may prevent termination of the solver. 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