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Program refinement involves correctness-preserving transformations from formal high-level specification statements into executable programs. Traditional verification tool support for program refinement is highly interactive and lacks…

Software Engineering · Computer Science 2024-06-28 Yufan Cai , Zhe Hou , Xiaokun Luan , David Miguel Sanan Baena , Yun Lin , Jun Sun , Jin Song Dong

The increased use of large language models (LLMs) across a variety of real-world applications calls for mechanisms to verify the factual accuracy of their outputs. Difficulties lie in assessing the factuality of free-form responses in open…

Computation and Language · Computer Science 2025-10-30 Yuxia Wang , Minghan Wang , Hasan Iqbal , Georgi Georgiev , Jiahui Geng , Preslav Nakov

Formal reasoning and automated theorem proving constitute a challenging subfield of machine learning, in which machines are tasked with proving mathematical theorems using formal languages like Lean. A formal verification system can check…

Artificial Intelligence · Computer Science 2025-11-05 Azim Ospanov , Farzan Farnia , Roozbeh Yousefzadeh

The use of large language models for code generation is a rapidly growing trend in software development. However, without effective methods for ensuring the correctness of generated code, this trend could lead to undesirable outcomes. In…

Artificial Intelligence · Computer Science 2024-11-19 Chuyue Sun , Ying Sheng , Oded Padon , Clark Barrett

Formal methods provide systematic and rigorous techniques for software development. We strongly believe that they must be taught in computer science curricula. In this paper we present the pedagogic rationale and the concrete implementation…

Logic in Computer Science · Computer Science 2021-11-17 Salwa Souaf , Frédéric Loulergue

Large Language Models (LLMs) show promise in automated software engineering, yet their guarantee of correctness is frequently undermined by erroneous or hallucinated code. To enforce model honesty, formal verification requires LLMs to…

Software Engineering · Computer Science 2026-04-27 Md Erfan , Md Kamal Hossain Chowdhury , Ahmed Ryan , Md Rayhanur Rahman

This paper explores verification of constituent systems within the context of the Symphony tool platform for Systems of Systems (SoS). Our SoS modelling language, CML, supports various contractual specification elements, such as state…

Software Engineering · Computer Science 2014-05-09 Luis Diogo Couto , Simon Foster , Richard Payne

Static verification provides strong correctness guarantees for code; however, fully specifying programs for static verification is a complex, burdensome process for users. Gradual verification was introduced to make this process easier by…

Programming Languages · Computer Science 2025-07-21 Priyam Gupta

While recent progress in quantum hardware open the door for significant speedup in certain key areas, quantum algorithms are still hard to implement right, and the validation of such quantum programs is a challenge. Early attempts either…

Programming Languages · Computer Science 2022-02-04 Christophe Chareton , Sébastien Bardin , François Bobot , Valentin Perrelle , Benoit Valiron

We present CAISAR, an open-source platform under active development for the characterization of AI systems' robustness and safety. CAISAR provides a unified entry point for defining verification problems by using WhyML, the mature and…

Artificial Intelligence · Computer Science 2022-06-22 Julien Girard-Satabin , Michele Alberti , François Bobot , Zakaria Chihani , Augustin Lemesle

This paper presents a focused literature survey on the use of large language models (LLM) to assist in writing formal specifications for software. A summary of thirty-five key papers is presented, including examples for specifying programs…

Software Engineering · Computer Science 2025-06-16 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Large language models (LLMs) are increasingly used to generate requirements specifications, design documents, code, and test cases. In contrast, much less attention has been given to a more difficult assurance problem: statically verifying…

Software Engineering · Computer Science 2026-05-19 Zhi Quan Zhou , Dave Towey , Tsong Yueh Chen

This paper presents the current state of our work on an interactive toplevel for the OCaml language based on the optimizing native code compiler and runtime. Our native toplevel is up to 100 times faster than the default OCaml toplevel,…

Programming Languages · Computer Science 2011-10-28 Marcell Fischbach , Benedikt Meurer

AutomationML (AML) enables standardized data exchange in engineering, yet existing recommendations for proper AML modeling are typically formulated as informal and textual constraints. These constraints cannot be validated automatically…

Artificial Intelligence · Computer Science 2025-06-13 Tom Westermann , Aljosha Köcher , Felix Gehlhoff

Universal fact-checking systems for real-world claims face significant challenges in gathering valid and sufficient real-time evidence and making reasoned decisions. In this work, we introduce the Open-domain Explainable Fact-checking…

Computation and Language · Computer Science 2023-12-12 Xin Tan , Bowei Zou , Ai Ti Aw

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

Computation and Language · Computer Science 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2023-10-09 Colin S. Gordon , Sergey Matskevich

Stipula is a domain-specific programming language designed to model legal contracts with enforceable properties, especially those involving asset transfers and obligations. This paper presents a methodology to formally verify the…

Software Engineering · Computer Science 2025-09-29 Reiner Hähnle , Cosimo Laneve , Adele Veschetti

Metamodeling is a general approach to expressing knowledge about classes and properties in an ontology. It is a desirable modeling feature in multiple applications that simplifies the extension and reuse of ontologies. Nevertheless,…

Artificial Intelligence · Computer Science 2024-02-06 Haya Majid Qureshi , Wolfgang Faber

Gradual verification, which supports explicitly partial specifications and verifies them with a combination of static and dynamic checks, makes verification more incremental and provides earlier feedback to developers. While an abstract,…

Programming Languages · Computer Science 2023-11-14 Conrad Zimmerman , Jenna DiVincenzo , Jonathan Aldrich