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Large language models (LLMs) have recently demonstrated remarkable progress in formal theorem proving. Yet their ability to serve as practical assistants for mathematicians, filling in missing steps within complex proofs, remains…

Computation and Language · Computer Science 2025-10-06 Xiao-Wen Yang , Zihao Zhang , Jianuo Cao , Zhi Zhou , Zenan Li , Lan-Zhe Guo , Yuan Yao , Taolue Chen , Yu-Feng Li , Xiaoxing Ma

There are two kinds of higher-order extensions of model checking: HORS model checking and HFL model checking. Whilst the former has been applied to automated verification of higher-order functional programs, applications of the latter have…

Programming Languages · Computer Science 2018-03-01 Naoki Kobayashi , Takeshi Tsukada , Keiichi Watanabe

Probabilistic programming is an approach to reasoning under uncertainty by encoding inference problems as programs. In order to solve these inference problems, probabilistic programming languages (PPLs) employ different inference…

Programming Languages · Computer Science 2023-05-04 Daniel Lundén , Johannes Borgström , David Broman

Parallel programs in high performance computing (HPC) continue to grow in complexity and scale in the exascale era. The diversity in hardware and parallel programming models make developing, optimizing, and maintaining parallel software…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-15 Daniel Nichols , Aniruddha Marathe , Harshitha Menon , Todd Gamblin , Abhinav Bhatele

LLMs trained in the understanding of programming syntax are now providing effective assistance to developers and are being used in programming education such as in generation of coding problem examples or providing code explanations. A key…

Artificial Intelligence · Computer Science 2024-11-19 Yanggyu Lee , Suchae Jeong , Jihie Kim

Machine learning (ML) provides algorithms to create computer programs based on data without explicitly programming them. In business process management (BPM), ML applications are used to analyse and improve processes efficiently. Three…

Machine Learning · Computer Science 2024-05-28 Sven Weinzierl , Sandra Zilker , Sebastian Dunzer , Martin Matzner

Clausal Language (CL) is a declarative programming and verifying system used in our teaching of computer science. CL is an implementation of, what we call, $\mathit{PR}{+}I\Sigma_1$ paradigm (primitive recursive functions with…

Logic in Computer Science · Computer Science 2019-10-03 Ján Komara , Paul J. Voda

None of the quantum computing applications imagined will ever become a reality without quantum software. Quantum programmes have, to date, been coded with ad hoc techniques. Researchers in the field of quantum software engineering are,…

Software Engineering · Computer Science 2021-03-31 Ricardo Pérez-Castillo , Luis Jiménez-Navajas , Mario Piattini

The usage of Large Language Models (LLMs) for software and test development has continued to increase since LLMs were first introduced, but only recently have the expectations of LLMs become more realistic. Verifying the correctness of code…

Software Engineering · Computer Science 2025-08-20 Zachariah Sollenberger , Rahul Patel , Saieda Ali Zada , Sunita Chandrasekaran

Computability logic is a formal theory of computational tasks and resources. Its formulas represent interactive computational problems, logical operators stand for operations on computational problems, and validity of a formula is…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Secure multi-party computation (MPC) is a general cryptographic technique that allows distrusting parties to compute a function of their individual inputs, while only revealing the output of the function. It has found applications in areas…

Logic in Computer Science · Computer Science 2019-12-18 Helene Haagh , Aleksandr Karbyshev , Sabine Oechsner , Bas Spitters , Pierre-Yves Strub

We target the problem of provably computing the equivalence between two complex expression trees. To this end, we formalize the problem of equivalence between two such programs as finding a set of semantics-preserving rewrite rules from one…

Programming Languages · Computer Science 2021-06-10 Steve Kommrusch , Théo Barollet , Louis-Noël Pouchet

This article presents liquid resource types, a technique for automatically verifying the resource consumption of functional programs. Existing resource analysis techniques trade automation for flexibility -- automated techniques are…

Programming Languages · Computer Science 2020-07-03 Tristan Knoth , Di Wang , Adam Reynolds , Jan Hoffmann , Nadia Polikarpova

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

Large language models (LLMs) have become capable mathematical problem-solvers, often producing correct proofs for challenging problems. However, correctness alone is not sufficient: mathematical proofs should also be clear, concise,…

Computation and Language · Computer Science 2026-05-12 Ivo Petrov , Jasper Dekoninck , Dimitar I. Dimitrov , Martin Vechev

While large pretrained language models (PLMs) demonstrate incredible fluency and performance on many natural language tasks, recent work has shown that well-performing PLMs are very sensitive to what prompts are feed into them. Even when…

Computation and Language · Computer Science 2023-04-13 Harsh Raj , Domenic Rosati , Subhabrata Majumdar

Applying dynamic logics to program verifications is a challenge, because their axiomatic rules for regular expressions can be difficult to be adapted to different program models. We present a novel dynamic logic, called DLp, which supports…

Logic in Computer Science · Computer Science 2026-02-11 Yuanrui Zhang

Modelling software product line (SPL) features plays a crucial role to a successful development of SPL. Feature diagram is one of the widely used notations to model SPL variants. However, there is a lack of precisely defined formal…

Software Engineering · Computer Science 2013-10-02 Shamim Ripon , Sk. Jahir Hossain , Touhid Bhuiyan

The paper advocates for LLMs to enhance the accessibility, usage and explainability of rule-based legal systems, contributing to a democratic and stakeholder-oriented view of legal technology. A methodology is developed to explore the…

Artificial Intelligence · Computer Science 2023-11-21 Marco Billi , Alessandro Parenti , Giuseppe Pisano , Marco Sanchi

Large language models (LLMs) have become essential tools in software development, widely used for requirements engineering, code generation and review tasks. Software engineers often rely on LLMs to assess whether system code implementation…

Software Engineering · Computer Science 2025-08-19 Haolin Jin , Huaming Chen
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