BI-hyperdoctrines, higher-order separation logic, and abstraction

Author:

Biering Bodil1,Birkedal Lars1,Torp-Smith Noah1

Affiliation:

1. IT University of Copenhagen, Copenhagen S, Denmark

Abstract

We present a precise correspondence between separation logic and a simple notion of predicate BI, extending the earlier correspondence given between part of separation logic and propositional BI. Moreover, we introduce the notion of a BI hyperdoctrine, show that it soundly models classical and intuitionistic first- and higher-order predicate BI, and use it to show that we may easily extend separation logic to higher-order . We also demonstrate that this extension is important for program proving, since it provides sound reasoning principles for data abstraction in the presence of aliasing.

Publisher

Association for Computing Machinery (ACM)

Subject

Software

Reference40 articles.

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3. Biering B. 2004. On the logic of bunched implications and its relation to separation logic. M.S. thesis University of Copenhagen. Biering B. 2004. On the logic of bunched implications and its relation to separation logic. M.S. thesis University of Copenhagen.

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