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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

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding of program specifications and their underlying assumptions. Tools supporting such development have…

Logic in Computer Science · Computer Science 2020-03-17 Talia Ringer , Karl Palmskog , Ilya Sergey , Milos Gligoric , Zachary Tatlock

Large Language Models (LLMs) are increasingly applied to automate software engineering tasks, including the generation of UML class diagrams from natural language descriptions. While prior work demonstrates that LLMs can produce…

Software Engineering · Computer Science 2026-04-07 Rabia Iftikhar , Andreas Rausch

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

Since the advent of reasoning-based large language models, many have found great success from distilling reasoning capabilities into student models. Such techniques have significantly bridged the gap between reasoning and standard LLMs on…

We consider the task of mapping pseudocode to long programs that are functionally correct. Given test cases as a mechanism to validate programs, we search over the space of possible translations of the pseudocode to find a program that…

Machine Learning · Computer Science 2019-06-13 Sumith Kulal , Panupong Pasupat , Kartik Chandra , Mina Lee , Oded Padon , Alex Aiken , Percy Liang

Prior work has combined chain-of-thought prompting in large language models (LLMs) with programmatic representations to perform effective and transparent reasoning. While such an approach works well for tasks that only require forward…

Computation and Language · Computer Science 2023-10-13 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

Among areas of software engineering where AI techniques -- particularly, Large Language Models -- seem poised to yield dramatic improvements, an attractive candidate is Automatic Program Repair (APR), the production of satisfactory…

Software Engineering · Computer Science 2025-08-05 Li Huang , Ilgiz Mustafin , Marco Piccioni , Alessandro Schena , Reto Weber , Bertrand Meyer

Foundational verification allows programmers to build software which has been empirically shown to have high levels of assurance in a variety of important domains. However, the cost of producing foundationally verified software remains…

Programming Languages · Computer Science 2020-06-01 Alex Sanchez-Stern , Yousef Alhessi , Lawrence Saul , Sorin Lerner

Designing correct replicated data types (RDTs) is challenging because replicas evolve independently and must be merged while preserving application intent. A promising approach is correct-by-construction development in a proof-oriented…

Programming Languages · Computer Science 2026-03-31 Pranav Ramesh , Vimala Soundarapandian , KC Sivaramakrishnan

Formal specifications, such as pre- and post-conditions provide a solid basis for performing thorough program verification. However, developers rarely provide such formal specifications, hence if AI could help in constructing them, it would…

Software Engineering · Computer Science 2026-03-19 I. S. W. B. Prasetya , Fitsum Kifetew , Davide Prandi

Recent regulatory initiatives like the European AI Act and relevant voices in the Machine Learning (ML) community stress the need to describe datasets along several key dimensions for trustworthy AI, such as the provenance processes and…

Digital Libraries · Computer Science 2024-05-27 Joan Giner-Miguelez , Abel Gómez , Jordi Cabot

Verification-aware programming languages such as Dafny and F* provide means to formally specify and prove properties of a program. Although the problem of checking an implementation against a specification can be defined mechanically, there…

Programming Languages · Computer Science 2024-10-17 Shuvendu K. Lahiri

Over the last several decades, software has been woven into the fabric of every aspect of our society. As software development surges and code infrastructure of enterprise applications ages, it is now more critical than ever to increase…

Neural networks are increasingly used to support decision-making. To verify their reliability and adaptability, researchers and practitioners have proposed a variety of tools and methods for tasks such as NN code verification, refactoring,…

Machine Learning · Computer Science 2026-02-05 Nadia Daoudi , Jordi Cabot

Large Language Models (LLMs) have transformed software development by enabling code generation, automated debugging, and complex reasoning. However, their continued advancement is constrained by the scarcity of high-quality, publicly…

Software Engineering · Computer Science 2025-08-11 Wasi Uddin Ahmad , Aleksander Ficek , Mehrzad Samadi , Jocelyn Huang , Vahid Noroozi , Somshubra Majumdar , Boris Ginsburg

Many reasoning, planning, and problem-solving tasks share an intrinsic algorithmic nature: correctly simulating each step is a sufficient condition to solve them correctly. We collect pairs of naturalistic and synthetic reasoning tasks to…

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

Many applications of large language models (LLMs) require deductive reasoning, yet models frequently produce incorrect or redundant inference steps. We frame natural language inference as a search problem where the final answer is the valid…

Artificial Intelligence · Computer Science 2026-05-26 Andreas Opedal , Francesco Ignazio Re , Abulhair Saparov , Mrinmaya Sachan , Bernhard Schölkopf , Ryan Cotterell

Sometimes debates on programming languages are more religious than scientific. Questions about which language is more succinct or efficient, or makes developers more productive are discussed with fervor, and their answers are too often…

Software Engineering · Computer Science 2015-06-04 Sebastian Nanz , Carlo A. Furia
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