A relational logic for higher-order programs

@article{Aguirre2019ARL,
  title={A relational logic for higher-order programs},
  author={Alejandro Aguirre and Gilles Barthe and Marco Gaboardi and Deepak Garg and Pierre-Yves Strub},
  journal={Proceedings of the ACM on Programming Languages},
  year={2019},
  volume={1},
  pages={1 - 29}
}
Relational program verification is a variant of program verification where one can reason about two programs and as a special case about two executions of a single program on different inputs. Relational program verification can be used for reasoning about a broad range of properties, including equivalence and refinement, and specialized notions such as continuity, information flow security or relative cost. In a higher-order setting, relational program verification can be achieved using… 
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9 Citations
Highly Influential Citations
7
Background Citations
5
Methods Citations
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9 Citations

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Citation Type

Bidirectional type checking for relational properties
TLDR
This paper develops bidirectional relational type checking for systems with relational refinements and effects, and significantly reduces the need for typing annotations through the combination of type checking and type inference.
A Monadic Framework for Relational Verification
TLDR
The essence of the approach is to model effectful computations using monads and to prove relational properties on their monadic representations, making the most of existing support for reasoning about pure programs.
A monadic framework for relational verification: applied to information security, program equivalence, and optimizations
TLDR
The essence of the approach is to model effectful computations using monads and to prove relational properties on their monadic representations, making the most of existing support for reasoning about pure programs.
The next 700 relational program logics
TLDR
The first framework for defining relational program logics for arbitrary monadic effects is proposed, and it is shown that this generic framework can be used to define relational programLogics for effects as diverse as state, input-output, nondeterminism, and discrete probabilities.
ReLoC: A Mechanised Relational Logic for Fine-Grained Concurrency
TLDR
ReLoC is a logic for proving refinements of programs in a language with higher-order state, fine-grained concurrency, polymorphism and recursive types, and a mechanisation of the logic in Coq is provided, which does not just contain a proof of soundness, but also tactics for interactively carrying out refinements proofs.
RHLE: Modular Deductive Verification of Relational $\forall\exists$ Properties.
TLDR
A novel form of function specification that requires the existence of certain behaviors in valid implementations is developed, and a tool is built which is used to verify a diverse set of relational properties drawn from the literature, including refinement and generalized noninterference.
ReLoC Reloaded: A Mechanized Relational Logic for Fine-Grained Concurrency and Logical Atomicity
TLDR
ReLoC Reloaded extends the ReLoC logic with various technical improvements, a new Coq mechanization, and support for Iris's prophecy variables, and expands the notion of logically atomic specifications to the relational case, which is called logically atomic relational specifications.
RHLE: Automatic Verification of $\forall\exists$-Hyperproperties
TLDR
RHLE is presented, a relational program logic for reasoning about a class of hyperproperties that all $\forall\exists$-hyperproperties, including refinement and non-interference properties, on a corpus of representative programs which is used to automatically verify a number of k-safety and k-liveness hyperproperties.
RHLE: Automatic Verification of ∀∃-Hyperproperties
TLDR
RHLE is presented, a relational program logic for reasoning about a class of hyperproperties that is capable of automatically verifying a number of ∀∃hyperproperties, including refinement and non-interference properties, on a corpus of representative programs.
Constraint-based Relational Verification
TLDR
This paper describes a novel and fully automated constraint-based approach to relational verification and presents a constraint solving method for pfwCSP based on stratified CounterExample-Guided Inductive Synthesis of ordinary, well-founded, and functional predicates.

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