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This article is concerned with automated complexity analysis of term rewrite systems. Since these systems underlie much of declarative programming, time complexity of functions defined by rewrite systems is of particular interest. Among…

Logic in Computer Science · Computer Science 2011-06-02 Nao Hirokawa , Georg Moser

We propose a new approach to automated theorem proving where an AlphaZero-style agent is self-training to refine a generic high-level expert strategy expressed as a nondeterministic program. An analogous teacher agent is self-training to…

Artificial Intelligence · Computer Science 2023-09-12 Jonathan Laurent , André Platzer

Logical specifications play a key role in the formal analysis of behavioural models. Automating the derivation of such specifications is particularly valuable in complex systems, where manual construction is time-consuming and error-prone.…

Software Engineering · Computer Science 2025-06-11 Radoslaw Klimek , Julia Witek

This paper proposes a novel, abstraction-based, certified training method for robust image classifiers. Via abstraction, all perturbed images are mapped into intervals before feeding into neural networks for training. By training on…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Zhaodi Zhang , Zhiyi Xue , Yang Chen , Si Liu , Yueling Zhang , Jing Liu , Min Zhang

Model checking and automated theorem proving are two pillars of formal methods. This paper investigates model checking from an automated theorem proving perspective, aiming at combining the expressiveness of automated theorem proving and…

Logic in Computer Science · Computer Science 2017-10-03 Ying Jiang , Jian Liu , Gilles Dowek , Kailiang Ji

Cyber-physical systems come with increasingly complex architectures and failure modes, which complicates the task of obtaining accurate system reliability models. At the same time, with the emergence of the (industrial) Internet-of-Things,…

Formal Languages and Automata Theory · Computer Science 2019-09-16 Alexis Linard , Doina Bucur , Marielle Stoelinga

Traces are used to show whether a model complies with the intended behavior. A modeler can use trace checking to ensure the preservation of the model behavior during the refinement process. In this paper, we present a trace refinement…

Logic in Computer Science · Computer Science 2022-07-29 Sebastian Stock , Atif Mashkoor , Michael Leuschel , Alexander Egyed

The dependency on the correct functioning of embedded systems is rapidly growing, mainly due to their wide range of applications, such as micro-grids, automotive device control, health care, surveillance, mobile devices, and consumer…

Logic in Computer Science · Computer Science 2017-03-01 Lucas Cordeiro

Scientists often use observational time series data to study complex natural processes, but regression analyses often assume simplistic dynamics. Recent advances in deep learning have yielded startling improvements to the performance of…

Machine Learning · Computer Science 2023-04-21 Cory Shain , William Schuler

Assertion-Based Verification (ABV) is a crucial method for ensuring that logic designs conform to their architectural specifications. However, existing assertion generation methods primarily rely on information either from the design…

Hardware Architecture · Computer Science 2025-09-19 Yonghao Wang , Jiaxin Zhou , Hongqin Lyu , Zhiteng Chao , Tiancheng Wang , Huawei Li

The kind of closed-loop verification likely to be required for autonomous vehicle (AV) safety testing is beyond the reach of traditional test methodologies and discrete verification. Validation puts the autonomous vehicle system to the test…

Machine Learning · Computer Science 2020-05-29 Hyun Jae Cho , Madhur Behl

The increasing use of model-based tools enables further use of formal verification techniques in the context of distributed real-time systems. To avoid state explosion, it is necessary to construct verification models that focus on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Chih-Hong Cheng , Christian Buckl , Javier Esparza , Alois Knoll

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2023-11-27 Aurel Bílý , João C. Pereira , Jan Schär , Peter Müller

The need to model and analyse dynamic systems operating over complex data is ubiquitous in AI and neighboring areas, in particular business process management. Analysing such data-aware systems is a notoriously difficult problem, as they…

Logic in Computer Science · Computer Science 2023-10-20 Alessandro Gianola , Marco Montali , Sarah Winkler

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

Runtime verification is the process of verifying critical behavioral properties in big complex systems, where formal verification is not possible due to state space explosion. There have been several attempts to design efficient algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 M. Ali Dorosty , Fathiyeh Faghih , Ehsan Khamespanah

We describe a novel approach for adapting an existing software model checker to perform precise runtime verification. The software under test is allowed to communicate with the wider environment (including the file system and network). The…

Software Engineering · Computer Science 2018-06-01 Katarína Kejstová , Petr Ročkai , Jiří Barnat

Refinement types enable lightweight verification of functional programs. Algorithms for statically inferring refinement types typically work by reduction to solving systems of constrained Horn clauses extracted from typing derivations. An…

Programming Languages · Computer Science 2020-11-11 Zvonimir Pavlinovic , Yusen Su , Thomas Wies

Virtually all verification techniques using formal methods rely on the availability of a formal specification, which describes the design requirements precisely. However, formulating specifications remains a manual task that is notoriously…

Formal Languages and Automata Theory · Computer Science 2025-01-28 Daniel Neider , Rajarshi Roy

This paper presents the verification of control systems implemented in Simulink. The goal is to ensure that high-level requirements on control performance, like stability, are satisfied by the Simulink diagram. A two stage process is…

Systems and Control · Computer Science 2021-04-13 Dejanira Araiza-Illan , Kerstin Eder , Arthur Richards