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Hoare-style program logics are a popular and effective technique for software verification. Relational program logics are an instance of this approach that enables reasoning about relationships between the execution of two or more programs.…

Programming Languages · Computer Science 2022-09-09 Robert Dickerson , Qianchuan Ye , Michael K. Zhang , Benjamin Delaware

Verifying a real-world program's functional correctness can be decomposed into (1) a refinement proof showing that the program implements a more abstract high-level program and (2) an algorithm correctness proof at the high level.…

Programming Languages · Computer Science 2025-08-22 Shushu Wu , Xiwei Wu , Qinxiang Cao

Relational properties arise in many settings: relating two versions of a program that use different data representations, noninterference properties for security, etc. The main ingredient of relational verification, relating aligned pairs…

Logic in Computer Science · Computer Science 2016-11-29 Anindya Banerjee , David A. Naumann , Mohammad Nikouei

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

Hoare logics are proof systems that allow one to formally establish properties of computer programs. Traditional Hoare logics prove properties of individual program executions (such as functional correctness). Hoare logic has been…

Logic in Computer Science · Computer Science 2024-04-12 Thibault Dardinier , Peter Müller

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…

Programming Languages · Computer Science 2019-10-23 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Pierre-Yves Strub

In relational verification, judicious alignment of computational steps facilitates proof of relations between programs using simple relational assertions. Relational Hoare logics (RHL) provide compositional rules that embody various…

Logic in Computer Science · Computer Science 2025-11-12 Ramana Nagasamudram , Anindya Banerjee , David A. Naumann

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

We develop the first two heap logics that have implicit heaplets and that admit FO-complete program verification. The notion of FO-completeness is a theoretical guarantee that all theorems that are valid when recursive definitions are…

Logic in Computer Science · Computer Science 2026-01-13 Adithya Murali , Hrishikesh Balakrishnan , Aaron Councilman , P. Madhusudan

Many natural program correctness properties can be stated in terms of symmetries, but existing formal methods have little support for reasoning about such properties. We consider how to formally verify a broad class of symmetry properties…

Programming Languages · Computer Science 2025-09-04 Vaibhav Mehta , Justin Hsu

Hyperproperties relate multiple executions of a program and are commonly used to specify security and information-flow policies. Most existing work has focused on the verification of $k$-safety properties, i.e., properties that state that…

Logic in Computer Science · Computer Science 2024-03-07 Raven Beutner

Relational verification encompasses information flow security, regression verification, translation validation for compilers, and more. Effective alignment of the programs and computations to be related facilitates use of simpler relational…

Logic in Computer Science · Computer Science 2023-03-27 Timos Antonopoulos , Eric Koskinen , Ton Chanh Le , Ramana Nagasamudram , David A. Naumann , Minh Ngo

Many security- and performance-critical domains, such as cryptography, rely on low-level verification to minimize the trusted computing surface and allow code to be written directly in assembly. However, verifying assembly code against a…

Logic in Computer Science · Computer Science 2025-05-21 Denis Mazzucato , Abdalrhman Mohamed , Juneyoung Lee , Clark Barrett , Jim Grundy , John Harrison , Corina S. Pasareanu

Temporal hyperproperties are system properties that relate multiple execution traces. For (finite-state) hardware, temporal hyperproperties are supported by model checking algorithms, and tools for general temporal logics like HyperLTL…

Logic in Computer Science · Computer Science 2022-08-26 Raven Beutner , Bernd Finkbeiner

Relational Hoare logics extend the applicability of modular, deductive verification to encompass important 2-run properties including dependency requirements such as confidentiality and program relations such as equivalence or similarity…

Logic in Computer Science · Computer Science 2022-07-19 David A. Naumann

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

In relational verification, judicious alignment of computational steps facilitates proof of relations between programs using simple relational assertions. Relational Hoare logics (RHL) provide compositional rules that embody various…

Logic in Computer Science · Computer Science 2023-07-21 Anindya Banerjee , Ramana Nagasamudram , David A. Naumann

Partial incorrectness logic (partial reverse Hoare logic) has recently been introduced as a new Hoare-style logic that over-approximates the weakest pre-conditions of a program and a post-condition. It is expected to verify systems where…

Logic in Computer Science · Computer Science 2025-03-03 Yukihiro Oda

Many important hyperproperties, such as refinement and generalized non-interference, fall into the class of $\forall\exists$ hyperproperties and require, for each execution trace of a system, the existence of another trace relating to the…

Programming Languages · Computer Science 2025-01-15 Arthur Correnson , Tobias Niessen , Bernd Finkbeiner , Georg Weissenbacher

Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic has to be expressive enough to allow the formalization of…

Logic in Computer Science · Computer Science 2015-07-01 Stefan Wöhrle , Wolfgang Thomas
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