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Large language models (LLMs) have shown astonishing capability of generating software code, leading to its use to support developers in programming. Proposed tools have relied either on assistants for improved auto-complete or multi-agents,…

Software Engineering · Computer Science 2026-04-10 Jorge Melegati

In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

Logic in Computer Science · Computer Science 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

This study presents a comprehensive empirical evaluation of six state-of-the-art large language models (LLMs) for code generation, including both general-purpose and code-specialized models. Using a dataset of 944 real-world LeetCode…

Software Engineering · Computer Science 2025-12-23 Le Zhang , Suresh Kothari

With the decline of Moore's law, optimizing program performance has become a major focus of software research. However, high-level optimizations such as API and algorithm changes remain elusive due to the difficulty of understanding the…

We introduce MLFMF, a collection of data sets for benchmarking recommendation systems used to support formalization of mathematics with proof assistants. These systems help humans identify which previous entries (theorems, constructions,…

Machine Learning · Computer Science 2023-10-25 Andrej Bauer , Matej Petković , Ljupčo Todorovski

The performance of automatic code documentation generation models depends critically on the quality of the training data used for supervision. However, most existing code documentation datasets are constructed through large scale scraping…

Software Engineering · Computer Science 2025-12-25 Recep Kaan Karaman , Meftun Akarsu

Finite-state models, such as finite-state machines (FSMs), aid software engineering in many ways. They are often used in formal verification and also can serve as visual software models. The latter application is associated with the…

Software Engineering · Computer Science 2016-11-22 Vladimir Ulyantsev , Igor Buzhinsky , Anatoly Shalyto

This survey reviews how large language models (LLMs) are transforming synthetic training data generation in both natural language and code domains. By producing artificial but task-relevant examples, these models can significantly augment…

Computation and Language · Computer Science 2025-11-21 Mihai Nadas , Laura Diosan , Andreea Tomescu

Certified program synthesis (aka vericoding) is the process of automatically generating a program, its formal specification, and a machine-checkable proof of their alignment from a natural-language description. Two challenges make…

Software Engineering · Computer Science 2026-04-21 Yueyang Feng , Dipesh Kafle , Vladimir Gladshtein , Vitaly Kurin , George Pîrlea , Qiyuan Zhao , Peter Müller , Ilya Sergey

Generative Large Language Models (LLMs) are increasingly used in non-generative software maintenance tasks, such as fault localization (FL). Success in FL depends on a models ability to reason about program semantics beyond surface-level…

Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into…

Software Engineering · Computer Science 2014-02-28 Gal Katz , Doron Peled

We develop an approach to estimate the probability that a program sampled from a large language model is correct. Given a natural language description of a programming problem, our method samples both candidate programs as well as candidate…

Software Engineering · Computer Science 2023-10-11 Darren Key , Wen-Ding Li , Kevin Ellis

We present a tractable method for synthesizing arbitrarily large concurrent programs, for a shared memory model with common hardware-available primitives such as atomic registers, compare-and-swap, load-linked/store conditional, etc. The…

Logic in Computer Science · Computer Science 2008-01-14 Paul C. Attie

Automatic testing is a widely adopted technique for improving software quality. Software developers add, remove and update test methods and test classes as part of the software development process as well as during the evolution phase,…

Software Engineering · Computer Science 2017-09-27 Stanislav Levin , Amiram Yehudai

Program synthesis--the automated generation of executable code from high-level specifications--has been a central goal of computer science for over fifty years. This thesis provides a comparative literature review of the main paradigms that…

Programming Languages · Computer Science 2025-08-04 Zurabi Kobaladze , Anna Arnania , Tamar Sanikidze

Large language models are a form of artificial intelligence systems whose primary knowledge consists of the statistical patterns, semantic relationships, and syntactical structures of language1. Despite their limited forms of "knowledge",…

Artificial Intelligence · Computer Science 2023-10-13 Yizhen Zheng , Huan Yee Koh , Jiaxin Ju , Anh T. N. Nguyen , Lauren T. May , Geoffrey I. Webb , Shirui Pan

We propose ProofNet++, a neuro-symbolic framework that enhances automated theorem proving by combining large language models (LLMs) with formal proof verification and self-correction mechanisms. Current LLM-based systems suffer from…

Artificial Intelligence · Computer Science 2025-06-02 Murari Ambati

Shallow embeddings that use monads to represent effects are popular in proof-oriented languages because they are convenient for formal verification. Once shallowly embedded programs are verified, they are often extracted to mainstream…

Programming Languages · Computer Science 2026-03-31 Cezar-Constantin Andrici , Abigail Pribisova , Danel Ahman , Catalin Hritcu , Exequiel Rivas , Théo Winterhalter

Large language models (LLMs) can be leveraged to help with writing formulas in spreadsheets, but resources on these formulas are scarce, impacting both the base performance of pre-trained models and limiting the ability to fine-tune them.…

Computation and Language · Computer Science 2025-07-14 Usneek Singh , José Cambronero , Sumit Gulwani , Aditya Kanade , Anirudh Khatry , Vu Le , Mukul Singh , Gust Verbruggen

Despite great advances in program synthesis techniques, they remain algorithmic black boxes. Although they guarantee that when synthesis is successful, the implementation satisfies the specification, they provide no additional information…

Programming Languages · Computer Science 2024-03-07 Amirmohammad Nazari , Souti Chattopadhyay , Swabha Swayamdipta , Mukund Raghothaman