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Modern Large Language Model (LLM) systems are assembled from third-party artifacts such as pre-trained weights, fine-tuning adapters, datasets, dependency packages, and container images, fetched through automated pipelines. This speed comes…

Cryptography and Security · Computer Science 2026-04-01 Zhuoran Tan , Jeremy Singer , Christos Anagnostopoulos

We prove that platform-deterministic inference is necessary and sufficient for trustworthy AI. We formalize this as the Determinism Thesis and introduce trust entropy to quantify the cost of non-determinism, proving that verification…

Artificial Intelligence · Computer Science 2026-03-27 TJ Dunham

The Rust programming language provides a powerful type system that checks linearity and borrowing, allowing code to safely manipulate memory without garbage collection and making Rust ideal for developing low-level, high-assurance systems.…

Logic in Computer Science · Computer Science 2023-03-14 Andrea Lattuada , Travis Hance , Chanhee Cho , Matthias Brun , Isitha Subasinghe , Yi Zhou , Jon Howell , Bryan Parno , Chris Hawblitzel

Large Language Models (LLMs) are widely used for code generation. However, the correctness of code generated by LLMs remains a concern. A potential remedy to this concern is to have LLMs generate formal correctness proofs along with such…

Software Engineering · Computer Science 2026-05-12 Nongyu Di , Tianyu Chen , Shan Lu , Shuai Lu , Yeyun Gong , Peng Cheng , Jacob R. Lorch , Yuan Yao , Xiaoxing Ma

Cross-language migration of large software systems is a persistent engineering challenge, particularly when the source codebase evolves rapidly. We present a methodology for LLM-assisted continuous code translation in which a large language…

Software Engineering · Computer Science 2026-04-14 Jinhua Wang , Biswa Sengupta

We present FormalProofBench, a private benchmark designed to evaluate whether AI models can produce formally verified mathematical proofs at the graduate level. Each task pairs a natural-language problem with a Lean~4 formal statement, and…

Artificial Intelligence · Computer Science 2026-03-31 Nikil Ravi , Kexing Ying , Vasilii Nesterov , Rayan Krishnan , Elif Uskuplu , Bingyu Xia , Janitha Aswedige , Langston Nashold

This paper presents a system combining symbolic execution (KLEE) with a 4-agent multi-LLM architecture for detecting memory vulnerabilities in Rust unsafe code. A central challenge we address is the incomplete-code problem: CVE database…

Cryptography and Security · Computer Science 2026-05-04 Zeyad Abdelrazek , Young Lee

The integration of Formal Verification tools with Large Language Models (LLMs) offers a path to scale software verification beyond manual workflows. However, current methods remain unreliable: without a solid theoretical footing, the…

Artificial Intelligence · Computer Science 2025-12-18 PIerre Dantas , Lucas Cordeiro , Youcheng Sun , Waldir Junior

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2023-11-27 Aurel Bílý , João C. Pereira , Jan Schär , Peter Müller

This paper considers the development of an AI-based provably-correct mathematical proof tutor. While Large Language Models (LLMs) allow seamless communication in natural language, they are error prone. Theorem provers such as Lean allow for…

Machine Learning · Computer Science 2026-03-05 Manooshree Patel , Rayna Bhattacharyya , Thomas Lu , Arnav Mehta , Niels Voss , Narges Norouzi , Gireeja Ranade

This paper considers the development of an AI-based provably-correct mathematical proof tutor. While Large Language Models (LLMs) allow seamless communication in natural language, they are error prone. Theorem provers such as Lean allow for…

Artificial Intelligence · Computer Science 2026-03-05 Manooshree Patel , Rayna Bhattacharyya , Thomas Lu , Arnav Mehta , Niels Voss , Narges Norouzi , Gireeja Ranade

Learned classifiers deployed in agentic pipelines face a fundamental reliability problem: predictions are probabilistic inferences, not verified conclusions, and acting on them without grounding in observable evidence leads to compounding…

Software Engineering · Computer Science 2026-04-14 Jugal Gajjar

Translating human-written mathematical theorems and proofs from natural language (NL) into formal languages (FLs) like Lean 4 has long been a significant challenge for AI. Most state-of-the-art methods either focus on theorem-only NL-to-FL…

Logic in Computer Science · Computer Science 2026-03-31 Prithwish Jana , Kaan Kale , Ahmet Ege Tanriverdi , Cruise Song , Sriram Vishwanath , Vijay Ganesh

The Rust programming language continues to rise in popularity, and as such, warrants the close attention of the programming languages community. In this work, we present a new foundational contribution towards the theoretical understanding…

Programming Languages · Computer Science 2024-07-02 Son Ho , Aymeric Fromherz , Jonathan Protzenko

Using AI to write formal proofs for mathematical problems is a challenging task that has seen some advancements in recent years. Automated systems such as Lean can verify the correctness of proofs written in formal language, yet writing the…

Machine Learning · Computer Science 2025-03-04 Roozbeh Yousefzadeh , Xuenan Cao , Azim Ospanov

Software vulnerabilities remain a critical security challenge, providing entry points for attackers into enterprise networks. Despite advances in security practices, the lack of high-quality datasets capturing diverse exploit behavior…

Cryptography and Security · Computer Science 2025-11-17 Alireza Lotfi , Charalampos Katsis , Elisa Bertino

Generative Artificial Intelligence (AI) tools have been used to generate human-like content across multiple domains (e.g., sound, image, text, and programming). However, their reliability in terms of correctness and functionality in novel…

Networking and Internet Architecture · Computer Science 2025-10-24 Felipe Avencourt Soares , Muriel F. Franco , Eder J. Scheid , Lisandro Z. Granville

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao

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

Reliable verification of proofs remains a bottleneck for training and evaluating AI systems on hard mathematical reasoning. Fully formal proofs, in languages like Lean, are easy to verify because they are unambiguous and modular. Most…

Logic in Computer Science · Computer Science 2026-05-21 Slim Barkallah , Luke Bailey , Kaiyue Wen , Mohammed Abouzaid , Tengyu Ma