On the relationship between higher-order recursion schemes and higher-order fixpoint logic

Description

We study the relationship between two kinds of higher-order extensions of model checking: HORS model checking, where models are extended to higher-order recursion schemes, and HFL model checking , where the logic is extended to higher-order modal fixpoint logic. These extensions have been independently studied until recently, and the former has been applied to higher-order program verification, while the latter has been applied to assume-guarantee reasoning and process equivalence checking. We show that there exist (ar-guably) natural reductions between the two problems. To prove the correctness of the translation from HORS to HFL model checking, we establish a type-based characterization of HFL model checking, which should be of independent interest. The results reveal a close relationship between the two problems, enabling cross-fertilization of the two research threads.

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