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Intelligent coding systems are transforming software development by enabling users to specify code behavior in natural language. However, the opaque decision-making of AI-driven coders raises trust and usability concerns, particularly for…

Software Engineering · Computer Science 2025-08-11 Xiangzhe Xu , Shiwei Feng , Zian Su , Chengpeng Wang , Xiangyu Zhang

Fully functional program verification is an undecidable$\unicode{x2014}$and, hence, inherently difficult$\unicode{x2014}$task, that is not automatically solvable but typically requires user interaction and guidance. Existing verifiers…

Programming Languages · Computer Science 2026-05-11 Wolfram Pfeifer , Mattias Ulbrich , Daniel Drodt

A reliable technique for deductive program verification should be proven sound with respect to the semantics of the programming language. For each different language, the construction of a separate soundness proof is often a laborious…

Programming Languages · Computer Science 2021-08-05 Ximeng Li , Qianying Zhang , Guohui Wang , Zhiping Shi , Yong Guan

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

Optimization and Control · Mathematics 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, or that the error relative to some ideal value is well…

Numerical Analysis · Computer Science 2008-01-04 Florent De Dinechin , Christoph Quirin Lauter , Guillaume Melquiond

In considering the reliability of numerical programs, it is normal to "limit our study to the semantics dealing with numerical precision" (Martel, 2005). On the other hand, there is a great deal of work on the reliability of programs that…

Symbolic Computation · Computer Science 2014-04-25 James H. Davenport , Russell Bradford , Matthew England , David Wilson

Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

Lightweight validation technique, such as those based on random testing, are sometimes practical alternatives to full formal verification -- providing valuable benefits, such as finding bugs, without requiring a disproportionate effort. In…

Logic in Computer Science · Computer Science 2025-08-26 Lidia Losavio , Marco Paganoni , Carlo A. Furia

Detecting buffer overruns from a source code is one of the most common and yet challenging tasks in program analysis. Current approaches have mainly relied on rigid rules and handcrafted features devised by a few experts, limiting…

Software Engineering · Computer Science 2017-03-08 Min-je Choi , Sehun Jeong , Hakjoo Oh , Jaegul Choo

We present verification protocols to gain confidence in the correct performance of the realization of an arbitrary universal quantum computation. The derivation of the protocols is based on the fact that matchgate computations, which are…

Quantum Physics · Physics 2025-08-11 Jose Carrasco , Marc Langer , Antoine Neven , Barbara Kraus

Test-time algorithms that combine the generative power of language models with process verifiers that assess the quality of partial generations offer a promising lever for eliciting new reasoning capabilities, but the algorithmic design…

Machine Learning · Computer Science 2025-10-06 Dhruv Rohatgi , Abhishek Shetty , Donya Saless , Yuchen Li , Ankur Moitra , Andrej Risteski , Dylan J. Foster

Debugging is difficult. Recent studies show that automatic bug localization techniques have limited usefulness. One of the reasons is that programmers typically have to understand why the program fails before fixing it. In this work, we aim…

Software Engineering · Computer Science 2019-11-22 Jun Sun , Long H. Pham , Lyly Tran Thi , Jingyi Wang , Xin Peng

Lighthouse projects such as CompCert, seL4, IronFleet, and DeepSpec have demonstrated that full verification of entire systems is feasible by establishing a refinement relation between an abstract system specification and an executable…

Logic in Computer Science · Computer Science 2020-10-13 Christoph Sprenger , Tobias Klenze , Marco Eilers , Felix A. Wolf , Peter Müller , Martin Clochard , David Basin

Device driver bugs are the leading cause of OS compromises, and their formal verification is therefore highly desirable. To the best of our knowledge, no realistic and performant driver has been verified for a non-trivial device. We propose…

Bounded verification has proved useful to detect bugs and to increase confidence in the correctness of a program. In contrast to unbounded verification, reasoning about calls via (bounded) inlining and about loops via (bounded) unrolling…

Logic in Computer Science · Computer Science 2023-03-14 Thibault Dardinier , Gaurav Parthasarathy , Peter Müller

We introduce skipping refinement, a new notion of correctness for reasoning about optimized reactive systems. Reasoning about reactive systems using refinement involves defining an abstract, high-level specification system and a concrete,…

Logic in Computer Science · Computer Science 2015-02-11 Mitesh Jain , Panagiotis Manolios

Self-checksumming (SC) is a tamper-proofing technique that ensures certain program segments (code) in memory hash to known values at runtime. SC has few restrictions on application and hence can protect a vast majority of programs. The code…

Cryptography and Security · Computer Science 2019-09-26 Mohsen Ahmadvand , Daniel Below , Sebastian Banescu , Alexander Pretschner

Detecting Bug Inducing Commit (BIC) or Just in Time (JIT) defect prediction using Machine Learning (ML) based models requires tabulated feature values extracted from the source code or historical maintenance data of a software system.…

Software Engineering · Computer Science 2025-03-04 Md Nadim , Banani Roy

We unify functional and logic programming by treating predicatesas functions equipped with their support: the set of inputs whose output is nonzero. Datalog, for instance, is a language of finitely supported boolean functions. Finite…

Programming Languages · Computer Science 2026-04-30 Michael Arntzenius , Max Willsey

Unlike code completion, debugging requires localizing faults and applying targeted edits. We observe that frontier LLMs often regenerate correct but over-edited solutions during debugging. To evaluate how far LLMs are from precise…

Software Engineering · Computer Science 2026-05-19 Wang Bill Zhu , Miaosen Chai , Shangshang Wang , Yejia Liu , Song Bian , Honghua Dong , Willie Neiswanger , Robin Jia
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