Verification condition generation for permission logics with abstract predicates and abstraction functions

Abstract. Abstract predicates are the primary abstraction mechanism for program logics based on access permissions, such as separation logic and implicit dynamic frames. In addition to abstract predicates, it is useful to also support classical abstraction functions, for instance, to en-code side-effect-free methods of the program and use them in specifica-tions. However, combining abstract predicates and abstraction functions in a verification condition generator leads to subtle interactions, which complicate reasoning about heap modifications. Such complications may compromise soundness or cause divergence of the prover in the context of predicates and abstraction functions in the verification condition genera-tor Boogie. Our encoding is sound and handles recursion in a way that is suitable for automatic verification using SMT solvers. It is implemented in the automatic verifier Chalice.