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Scalable and automatic formal verification for concurrent systems is always demanding. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Fuyuan Zhang , Yongwang Zhao , David Sanan , Yang Liu , Alwen Tiu , Shang-Wei Lin , Jun Sun

Classical verification of quantum learning allows classical clients to reliably leverage quantum computing advantages by interacting with untrusted quantum servers. Yet, current quantum devices available in practice suffers from a variety…

Quantum Physics · Physics 2024-11-15 Yinghao Ma , Jiaxi Su , Dong-Ling Deng

Despite the conceptual simplicity of sequential consistency (SC), the semantics of SC atomic operations and fences in the C11 and OpenCL memory models is subtle, leading to convoluted prose descriptions that translate to complex axiomatic…

Programming Languages · Computer Science 2016-11-17 Mark Batty , Alastair F. Donaldson , John Wickerson

Rust is a relatively new system programming language that has been experiencing a rapid adoption in the past 10 years. Rust incorporates a memory ownership model enforced at a compile time. Since this model involves zero runtime overhead,…

Programming Languages · Computer Science 2022-09-20 Nikolay Ivanov

Using the framework of boosting, we prove that all impurity-based decision tree learning algorithms, including the classic ID3, C4.5, and CART, are highly noise tolerant. Our guarantees hold under the strongest noise model of nasty noise,…

Machine Learning · Computer Science 2022-06-20 Guy Blanc , Jane Lange , Ali Malik , Li-Yang Tan

VeriFast is a leading tool for the modular formal verification of correctness properties of single-threaded and multi-threaded C and Rust programs. It verifies a program by symbolically executing each function in isolation, exploiting…

Programming Languages · Computer Science 2026-01-21 Bart Jacobs

We present a method for proving that a program running under the Total Store Ordering (TSO) memory model is robust, i.e., all its TSO computations are equivalent to computations under the Sequential Consistency (SC) semantics. This method…

Logic in Computer Science · Computer Science 2018-04-17 Ahmed Bouajjani , Constantin Enea , Suha Orhun Mutluergil , Serdar Tasiran

Transactional memory (TM) is an intensively studied synchronisation paradigm with many proposed implementations in software and hardware, and combinations thereof. However, TM under relaxed memory, e.g., C11 (the 2011 C/C++ standard) is…

Programming Languages · Computer Science 2022-08-02 Sadegh Dalvandi , Brijesh Dongol

We study the robust matrix completion (RMC) problem subject to both sparse outliers and stochastic noise. A non-convex method termed Accelerated Robust Matrix Completion (ARMC) is proposed, which accelerates a prior non-convex approach by…

Information Theory · Computer Science 2026-05-15 Yichen Fu , Tianming Wang , Ke Wei

To guarantee that machine learning models yield outputs that are not only accurate, but also robust, recent works propose formally verifying robustness properties of machine learning models. To be applicable to realistic safety-critical…

Machine Learning · Computer Science 2021-05-07 John Törnblom , Simin Nadjm-Tehrani

Commutativity reasoning based on Lipton's movers is a powerful technique for verification of concurrent programs. The idea is to define a program transformation that preserves a subset of the initial set of interleavings, which is sound…

Programming Languages · Computer Science 2026-01-21 Namratha Gangamreddypalli , Constantin Enea , Shaz Qadeer

Proving the correctness of programs written for multiple processors is a challenging problem, due in no small part to the weaker memory guarantees afforded by most modern architectures. In particular, the existence of store buffers means…

Logic in Computer Science · Computer Science 2014-06-09 Benjamin Selfridge

Today's microprocessors have grown significantly in complexity and functionality. Most of today's processors provide at least three levels of memory hierarchy, are heavily pipelined, and support some sort of cache coherency protocol. These…

Hardware Architecture · Computer Science 2020-09-02 Mitul S Nagar , Haresh A Suthar , Chintan Panchal

Implementation bugs threaten the soundness of algorithmic software verifiers. Generating correctness certificates for correct programs allows for efficient independent validation of verification results, and thus helps to reveal such bugs.…

Programming Languages · Computer Science 2026-02-27 Frank Schüssele , Matthias Zumkeller , Miriam Lagunes-Rochin , Dominik Klumpp

High assurance of information-flow security (IFS) for concurrent systems is challenging. A promising way for formal verification of concurrent systems is the rely-guarantee method. However, existing compositional reasoning approaches for…

Software Engineering · Computer Science 2023-09-19 Yongwang Zhao , David Sanan , Fuyuan Zhang , Yang Liu

Rust is a memory-safe language, and its strong safety guarantees combined with high performance have been attracting widespread adoption in systems programming and security-critical applications. However, Rust permits the use of unsafe…

Cryptography and Security · Computer Science 2025-09-23 Tianrou Xia , Kaiming Huang , Dongyeon Yu , Yuseok Jeon , Jie Zhou , Dinghao Wu , Taegyu Kim

Retrieval-augmented reasoning (RAR) is a recent evolution of retrieval-augmented generation (RAG) that employs multiple reasoning steps for retrieval and generation. While effective for some complex queries, RAR remains vulnerable to errors…

Information Retrieval · Computer Science 2026-05-28 Heydar Soudani , Hamed Zamani , Faegheh Hasibi

The verification of reductions, representative subsets of interleavings, simplifies correctness proofs of parameterized concurrent programs. We introduce an expressive class of syntactic reductions, which we call natural reductions. Natural…

Programming Languages · Computer Science 2026-05-14 Constantin Enea , Azadeh Farzan , Dominik Klumpp

We develop a new intermediate weak memory model, IMM, as a way of modularizing the proofs of correctness of compilation from concurrent programming languages with weak memory consistency semantics to mainstream multi-core architectures,…

Programming Languages · Computer Science 2018-11-12 Anton Podkopaev , Ori Lahav , Viktor Vafeiadis

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak