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Rely-guarantee references for refinement types over aliased mutable data

Published: 16 June 2013 Publication History

Abstract

Reasoning about side effects and aliasing is the heart of verifying imperative programs. Unrestricted side effects through one reference can invalidate assumptions about an alias. We present a new type system approach to reasoning about safe assumptions in the presence of aliasing and side effects, unifying ideas from reference immutability type systems and rely-guarantee program logics. Our approach, rely-guarantee references, treats multiple references to shared objects similarly to multiple threads in rely-guarantee program logics. We propose statically associating rely and guarantee conditions with individual references to shared objects. Multiple aliases to a given object may coexist only if the guarantee condition of each alias implies the rely condition for all other aliases. We demonstrate that existing reference immutability type systems are special cases of rely-guarantee references.
In addition to allowing precise control over state modification, rely-guarantee references allow types to depend on mutable data while still permitting flexible aliasing. Dependent types whose denotation is stable over the actions of the rely and guarantee conditions for a reference and its data will not be invalidated by any action through any alias. We demonstrate this with refinement (subset) types that may depend on mutable data. As a special case, we derive the first reference immutability type system with dependent types over immutable data.
We show soundness for our approach and describe experience using rely-guarantee references in a dependently-typed monadic DSL in Coq.

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Published In

cover image ACM SIGPLAN Notices
ACM SIGPLAN Notices  Volume 48, Issue 6
PLDI '13
June 2013
515 pages
ISSN:0362-1340
EISSN:1558-1160
DOI:10.1145/2499370
Issue’s Table of Contents
  • cover image ACM Conferences
    PLDI '13: Proceedings of the 34th ACM SIGPLAN Conference on Programming Language Design and Implementation
    June 2013
    546 pages
    ISBN:9781450320146
    DOI:10.1145/2491956
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 16 June 2013
Published in SIGPLAN Volume 48, Issue 6

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Author Tags

  1. reference immutability
  2. refinement types
  3. rely-guarantee

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  • (2021)Reasoning about monotonicity in separation logicProceedings of the 10th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3437992.3439931(91-104)Online publication date: 17-Jan-2021
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  • (2021)A type system for extracting functional specifications from memory-safe imperative programsProceedings of the ACM on Programming Languages10.1145/34855125:OOPSLA(1-29)Online publication date: 15-Oct-2021
  • (2021)Reasoning about monotonicity in separation logicProceedings of the 10th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3437992.3439931(91-104)Online publication date: 17-Jan-2021
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