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Large language model (LLM)-based reasoning systems have recently achieved gold medal-level performance in the IMO 2025 competition, writing mathematical proofs where, to receive full credit, each step must be not only correct but also…

Artificial Intelligence · Computer Science 2025-10-16 Shrey Pandit , Austin Xu , Xuan-Phi Nguyen , Yifei Ming , Caiming Xiong , Shafiq Joty

Static verification is a powerful method for enhancing software quality, but it demands significant human labor and resources. This is particularly true of static verifiers that reason about heap manipulating programs using an ownership…

Software Engineering · Computer Science 2025-01-06 Wen Fan , Marilyn Rego , Xin Hu , Sanya Dod , Zhaorui Ni , Danning Xie , Jenna DiVincenzo , Lin Tan

Software for mixed-integer linear programming can return incorrect results for a number of reasons, one being the use of inexact floating-point arithmetic. Even solvers that employ exact arithmetic may suffer from programming or algorithmic…

Optimization and Control · Mathematics 2019-01-03 Kevin K. H. Cheung , Ambros Gleixner , Daniel E. Steffy

Code completion is a prominent application of Large Language Models (LLMs) in software engineering. Due to the near real-time response requirements of this task, base models with small to medium-sized parameters are typically employed,…

Software Engineering · Computer Science 2025-09-18 Dongjun Yu , Xiao Yan , Zhenrui Li , Jipeng Xiao , Haochuan He , Yongda Yu , Hao Zhang , Guoping Rong , Xiaobo Huang

This paper presents the Soda language for verifying multi-agent systems. Soda is a high-level functional and object-oriented language that supports the compilation of its code not only to Scala, a strongly statically typed high-level…

Programming Languages · Computer Science 2025-03-11 Julian Alfredo Mendez , Timotheus Kampik

Effective program synthesis requires a way to minimise the number of candidate programs being searched. A type signature, for example, places some small restrictions on the structure of potential candidates. We introduce and motivate a…

Programming Languages · Computer Science 2019-07-15 Bruce Collie , Michael O'Boyle

In today's society, we are becoming increasingly dependent on software systems. However, we also constantly witness the negative impacts of buggy software. Program synthesis aims to improve software correctness by automatically generating…

Software Engineering · Computer Science 2023-12-11 Sanyogita Piya , Allison Sullivan

Full verification of learning-enabled cyber-physical systems (CPS) has long been intractable due to challenges including black-box components and complex real-world environments. Existing tools either provide formal guarantees for limited…

Logic in Computer Science · Computer Science 2025-11-05 Eric Vin , Kyle A. Miller , Inigo Incer , Sanjit A. Seshia , Daniel J. Fremont

System relevant embedded software needs to be reliable and, therefore, well tested, especially for aerospace systems. A common technique to verify programs is the analysis of their abstract syntax tree (AST). Tree structures can be…

Software Engineering · Computer Science 2017-01-09 Frank Flederer , Ludwig Ostermayer , Dietmar Seipel , Sergio Montenegro

Multimodal program synthesis, which leverages different types of user input to synthesize a desired program, is an attractive way to scale program synthesis to challenging settings; however, it requires integrating noisy signals from the…

Computation and Language · Computer Science 2021-09-16 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

Test instability in a floating-point program occurs when the control flow of the program diverges from its ideal execution assuming real arithmetic. This phenomenon is caused by the presence of round-off errors that affect the evaluation of…

Programming Languages · Computer Science 2020-01-10 Laura Titolo , Mariano Moscato , Cesar A. Muñoz

This paper focuses on automated synthesis of divide-and-conquer parallelism, which is a common parallel programming skeleton supported by many cross-platform multithreaded libraries. The challenges of producing (manually or automatically) a…

Programming Languages · Computer Science 2017-01-31 Azadeh Farzan , Victor Nicolet

Cyber-Physical Systems (CPS) consist of software interacting with the physical world, such as robots, vehicles, and industrial processes. CPS are frequently responsible for the safety of lives, property, or the environment, and so software…

Dafny is a verification-aware programming language that comes with a compiler and static program verifier. However, neither the compiler nor the verifier is proved correct; in fact, soundness bugs have been found in both tools. This paper…

Programming Languages · Computer Science 2025-12-08 Daniel Nezamabadi , Magnus O. Myreen , Yong Kiam Tan

Most automated program verifiers for separation logic use either symbolic execution or verification condition generation to extract proof obligations, which are then handed over to an SMT solver. Existing verification algorithms are…

Programming Languages · Computer Science 2024-05-28 Marco Eilers , Malte Schwerhoff , Peter Müller

Controllable speech synthesis aims to control the style of generated speech using reference input, which can be of various modalities. Existing face-based methods struggle with robustness and generalization due to data quality constraints,…

Sound · Computer Science 2025-06-27 Rui Niu , Weihao Wu , Jie Chen , Long Ma , Zhiyong Wu

Program synthesis is the task of constructing a program conforming to a given specification. We focus on deductive synthesis, and in particular on synthesis problems with specifications given as $\forall\exists$-formulas, expressing the…

Logic in Computer Science · Computer Science 2025-08-15 Márton Hajdu , Petra Hozzová , Laura Kovács , Andrei Voronkov , Eva Maria Wagner , Richard Steven Žilinčík

While Large Language Models (LLMs) have demonstrated remarkable capabilities in code generation, they often produce solutions that lack guarantees of correctness, robustness, and efficiency. This limitation is particularly acute in domains…

Software Engineering · Computer Science 2025-09-04 Yueke Zhang , Yifan Zhang , Kevin Leach , Yu Huang

Auto-active verifiers provide a level of automation intermediate between fully automatic and interactive: users supply code with annotations as input while benefiting from a high level of automation in the back-end. This paper presents…

Logic in Computer Science · Computer Science 2015-09-01 Julian Tschannen , Carlo A. Furia , Martin Nordio , Nadia Polikarpova

Given the increasing adoption of modern AI-enabled control systems, ensuring their safety and reliability has become a critical task in software testing. One prevalent approach to testing control systems is falsification, which aims to find…

Software Engineering · Computer Science 2025-01-22 Jieke Shi , Zhou Yang , Junda He , Bowen Xu , Dongsun Kim , DongGyun Han , David Lo