Actris: session-type based reasoning in separation logic

Author:

Hinrichsen Jonas Kastberg1,Bengtson Jesper1,Krebbers Robbert2

Affiliation:

1. IT University of Copenhagen, Denmark

2. Delft University of Technology, Netherlands

Abstract

Message passing is a useful abstraction to implement concurrent programs. For real-world systems, however, it is often combined with other programming and concurrency paradigms, such as higher-order functions, mutable state, shared-memory concurrency, and locks. We present Actris: a logic for proving functional correctness of programs that use a combination of the aforementioned features. Actris combines the power of modern concurrent separation logics with a first-class protocol mechanism—based on session types—for reasoning about message passing in the presence of other concurrency paradigms. We show that Actris provides a suitable level of abstraction by proving functional correctness of a variety of examples, including a distributed merge sort, a distributed load-balancing mapper, and a variant of the map-reduce model, using relatively simple specifications. Soundness of Actris is proved using a model of its protocol mechanism in the Iris framework. We mechanised the theory of Actris, together with tactics for symbolic execution of programs, as well as all examples in the paper, in the Coq proof assistant.

Funder

NWO

Publisher

Association for Computing Machinery (ACM)

Subject

Safety, Risk, Reliability and Quality,Software

Reference49 articles.

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2. Andrew W Appel. 2014. Program logics for certified compilers. Cambridge University Press.

3. Robert Atkey, Sam Lindley, and J. Garrett Morris. 2016. Conflation Confers Concurrency. In Essays Dedicated to Philip Wadler on the Occasion of His 60th Birthday (LNCS), Vol. 9600. 32–55.

4. Stephanie Balzer and Frank Pfenning. 2017. Manifest Sharing with Session Types. PACMPL 1, ICFP (2017), 37:1–37:29.

5. Stephanie Balzer, Bernardo Toninho, and Frank Pfenning. 2019. Manifest Deadlock-Freedom for Shared Session Types. In ESOP, Vol. 11423 LNCS. 611–639.

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