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There has been significant recent interest in devising verification techniques for learning-enabled controllers (LECs) that manage safety-critical systems. Given the opacity and lack of interpretability of the neural policies that govern…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Zikang Xiong , Suresh Jagannathan

Large Language Models (LLMs) have significantly advanced automated test generation, yet existing methods often rely on ground-truth code for verification, risking bug propagation and limiting applicability in test-driven development. We…

Software Engineering · Computer Science 2026-02-12 Hamed Taherkhani , Alireza DaghighFarsoodeh , Mohammad Chowdhury , Hung Viet Pham , Hadi Hemmati

Formal verification is the next frontier for ensuring the correctness of code generated by Large Language Models (LLMs). While methods that co-generate code and formal specifications in formal languages, like Dafny, can, in principle, prove…

Programming Languages · Computer Science 2026-04-21 Lingfei Zeng , Fengdi Che , Xuhan Huang , Fei Ye , Xu Xu , Binhang Yuan , Jie Fu

Large language models (LLMs) are increasingly integrated in software development, but ensuring correctness in LLM-generated code remains challenging and often requires costly manual review. Verifiable code generation -- jointly generating…

Machine Learning · Computer Science 2026-03-18 Zhe Ye , Zhengxu Yan , Jingxuan He , Timothe Kasriel , Kaiyu Yang , Dawn Song

Recent advances in Large Language Models (LLMs) have shown that their reasoning capabilities can be significantly improved through Reinforcement Learning with Verifiable Reward (RLVR), particularly in domains like mathematics and…

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

Machine Learning · Computer Science 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský

Verification of functional correctness of control programs is an essential task for the development of space electronics; it is difficult and time-consuming and typically outweighs design and programming tasks in terms of development hours.…

Programming Languages · Computer Science 2018-02-07 Andrey Mokhov , Georgy Lukyanov , Jakob Lechner

AI agents have shown initial promise in automating mathematical theorem proving in proof assistants such as Lean. The same proof assistants can be used to verify the correctness of code by pairing code with specifications and proofs that…

Software Engineering · Computer Science 2024-10-11 Evan Lohn , Sean Welleck

Proof-oriented programs mix computational content with proofs of program correctness. However, the human effort involved in programming and proving is still substantial, despite the use of Satisfiability Modulo Theories (SMT) solvers to…

Programming Languages · Computer Science 2024-09-06 Saikat Chakraborty , Gabriel Ebner , Siddharth Bhat , Sarah Fakhoury , Sakina Fatima , Shuvendu Lahiri , Nikhil Swamy

Critical software systems face stringent requirements in safety, security, and reliability due to the circumstances surrounding their operation. Safety and security have progressively gained importance over the years due to the integration…

Software Engineering · Computer Science 2015-12-16 Julio Escribano-Barreno , Marisol García-Valls

Formal verification provides mathematical guarantees that a software is correct. Design-level verification tools ensure software specifications are correct, but they do not expose defects in actual implementations. For this purpose,…

Software Engineering · Computer Science 2025-05-01 Paschal C. Amusuo , Parth V. Patil , Owen Cochell , Taylor Le Lievre , James C. Davis

Despite the tremendous advances that have been made in the last decade on developing useful machine-learning applications, their wider adoption has been hindered by the lack of strong assurance guarantees that can be made about their…

Machine Learning · Computer Science 2019-07-18 He Zhu , Zikang Xiong , Stephen Magill , Suresh Jagannathan

Verified controller synthesis uses world models that comprise all potential behaviours of humans, robots, further equipment, and the controller to be synthesised. A world model enables quantitative risk assessment, for example, by…

Software Engineering · Computer Science 2021-10-26 Mario Gleirscher , Jan Peleska

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

Programming Languages · Computer Science 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

In the past few years, Large Language Models (LLMs) have exploded in usefulness and popularity for code generation tasks. However, LLMs still struggle with accuracy and are unsuitable for high-risk applications without additional oversight…

Software Engineering · Computer Science 2024-10-29 William Murphy , Nikolaus Holzer , Feitong Qiao , Leyi Cui , Raven Rothkopf , Nathan Koenig , Mark Santolucito

Program synthesis is the generation of a program from a specification. Correct synthesis is difficult, and methods that provide formal guarantees suffer from scalability issues. On the other hand, neural networks are able to generate…

Logic in Computer Science · Computer Science 2020-01-28 Elizabeth Polgreen , Ralph Abboud , Daniel Kroening

Automating the decision of whether a code change requires manual review is vital for maintaining software quality in modern development workflows. However, the emergence of new programming languages and frameworks creates a critical…

Software Engineering · Computer Science 2025-09-08 Yogev Cohen , Dudi Ohayon , Romy Somkin , Yehudit Aperstein , Alexander Apartsin

For all the successes in verifying low-level, efficient, security-critical code, little has been said or studied about the structure, architecture and engineering of such large-scale proof developments. We present the design, implementation…

Programming Languages · Computer Science 2023-07-10 Son Ho , Aymeric Fromherz , Jonathan Protzenko

Program synthesis is the task of automatically deriving a program that has been specified by a user in advance. Combining automated theorem proving with program synthesis enables the automated construction of proven-to-be-correct programs,…

Logic in Computer Science · Computer Science 2026-05-20 Márton Hajdu , Petra Hozzová , Laura Kovács , Eva Maria Wagner