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Related papers: PML 2 : Integrated Program Verification in ML

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The well-known Unified Modeling Language (UML) describes software entities, such as interfaces, classes, operations and attributes, as well as relationships among them, e.g. inheritance, containment and dependency. The power of UML lies in…

Accelerator Physics · Physics 2007-05-23 Klemen Zagar , Mark Plesko , Matej Sekoranja , Gasper Tkacik , Anze Vodovnik

Traditional approaches for validating molecular simulations rely on making software open source and transparent, incorporating unit testing, and generally employing human oversight. We propose an approach that eliminates software errors…

Statistical Mechanics · Physics 2025-08-19 Ejike D. Ugwuanyi , Colin T. Jones , John Velkey , Tyler R. Josephson

This work presents a novel approach called oracle-checker scheme for evaluating the answer given by a generative large language model (LLM). Two types of checkers are presented. The first type of checker follows the idea of property…

Computation and Language · Computer Science 2024-05-07 Yueling Jenny Zeng , Li-C. Wang , Thomas Ibbetson

Recent advances in reasoning with large language models (LLMs) have demonstrated strong performance on complex mathematical tasks, including combinatorial optimization. Techniques such as Chain-of-Thought and In-Context Learning have…

Artificial Intelligence · Computer Science 2025-09-17 Marylou Fauchard , Florian Carichon , Margarida Carvalho , Golnoosh Farnadi

Large language models (LLMs) are increasingly used for program verification, and yet little is known about \emph{how} they reason about program semantics during this process. In this work, we focus on abstract interpretation based-reasoning…

Machine Learning · Computer Science 2025-10-01 Jacqueline L. Mitchell , Brian Hyeongseok Kim , Chenyu Zhou , Chao Wang

A Large Language Model (LLM) represents a cutting-edge artificial intelligence model that generates coherent content, including grammatically precise sentences, human-like paragraphs, and syntactically accurate code snippets. LLMs can play…

Software Engineering · Computer Science 2023-12-11 Robson Santos , Italo Santos , Cleyton Magalhaes , Ronnie de Souza Santos

With the wide range of quantum programming languages on offer now, efficient program verification and type checking for these languages presents a challenge -- especially when classical debugging techniques may affect the states in a…

Quantum Physics · Physics 2018-12-21 Aarthi Sundaram , Brad Lackey

We advocate a declarative approach to proving properties of logic programs. Total correctness can be separated into correctness, completeness and clean termination; the latter includes non-floundering. Only clean termination depends on the…

Logic in Computer Science · Computer Science 2011-10-25 W. Drabent , M. Milkowska

As machine learning is increasingly used in essential systems, it is important to reduce or eliminate the incidence of serious bugs. A growing body of research has developed machine learning algorithms with formal guarantees about…

Machine Learning · Computer Science 2020-07-15 Jean-Baptiste Tristan , Joseph Tassarotti , Koundinya Vajjha , Michael L. Wick , Anindya Banerjee

Proof-oriented programming languages (POPLs) empower developers to write code alongside formal correctness proofs, providing formal guarantees that the code adheres to specified requirements. Despite their powerful capabilities, POPLs…

Software Engineering · Computer Science 2025-08-06 Rijul Jain , Shraddha Barke , Gabriel Ebner , Md Rakib Hossain Misu , Shan Lu , Sarah Fakhoury

The goal of this paper is to help mainstream programmers routinely use formal verification on their smart contracts by 1) proposing a new YAML-format for writing general-purpose formal specifications, 2) demonstrating how a formal…

Programming Languages · Computer Science 2019-12-09 Suhabe Bugrara

We study the classical problem of verifying programs with respect to formal specifications given in the linear temporal logic (LTL). We first present novel sound and complete witnesses for LTL verification over imperative programs. Our…

We develop a sound and complete equational theory for the functional quantum programming language QML. The soundness and completeness of the theory are with respect to the previously-developed denotational semantics of QML. The completeness…

Quantum Physics · Physics 2008-05-06 Thorsten Altenkirch , Jonathan Grattage , Juliana K. Vizzotto , Amr Sabry

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , C. A. Pastro

Large Language Models (LLMs) have become increasingly capable of handling diverse tasks with the aid of well-crafted prompts and integration of external tools, but as task complexity rises, the workflow involving LLMs can be complicated and…

Artificial Intelligence · Computer Science 2024-06-21 Honghua Dong , Qidong Su , Yubo Gao , Zhaoyu Li , Yangjun Ruan , Gennady Pekhimenko , Chris J. Maddison , Xujie Si

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

We consider the problem of automated reasoning about dynamically manipulated data structures. The state-of-the-art methods are limited to the unfold-and-match (U+M) paradigm, where predicates are transformed via (un)folding operations…

Programming Languages · Computer Science 2014-07-24 Duc-Hiep Chu , Joxan Jaffar , Minh-Thai Trinh

Program reductions are used widely to simplify reasoning about the correctness of concurrent and distributed programs. In this paper, we propose a general approach to proof simplification of concurrent programs based on exploring generic…

Programming Languages · Computer Science 2019-11-01 Azadeh Farzan , Anthony Vandikas

Program verifiers such as Dafny automate proofs by outsourcing them to an SMT solver. This automation is not perfect, however, and the solver often requires hints in the form of assertions, creating a burden for the proof engineer. In this…

Logic in Computer Science · Computer Science 2025-03-05 Eric Mugnier , Emmanuel Anaya Gonzalez , Ranjit Jhala , Nadia Polikarpova , Yuanyuan Zhou

Recent frontier large language models (LLMs) have shown strong performance in identifying security vulnerabilities in large, mature open-source systems. As LLM-generated code becomes increasingly common, a natural goal is to prevent such…

Software Engineering · Computer Science 2026-05-13 Zhaorui Li , Chengyu Song