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Graph transformation systems (GTS) and constraint handling rules (CHR) are non-deterministic rule-based state transition systems. CHR is well-known for its powerful confluence and program equivalence analyses, for which we provide the basis…

Logic in Computer Science · Computer Science 2010-06-16 Frank Raiser , Thom Frühwirth

Verification of software systems is a very hard problem due to the large size of program state-space. The traditional techniques (like model checking) do not scale; since they include the whole state-space by inlining the library function…

Logic in Computer Science · Computer Science 2010-05-03 Pritam Roy

GraphFlow is a visual workflow system designed to improve the reliability of agentic AI automation in multi-step, mission-critical processes. In these workflows, small errors compound rapidly: under an idealized model of independent steps,…

Artificial Intelligence · Computer Science 2026-05-15 Drewry H. Morris , Luis Valles , Reza Hosseini Ghomi

Graph transformation has been used to model concurrent systems in software engineering, as well as in biochemistry and life sciences. The application of a transformation rule can be characterised algebraically as construction of a…

Logic in Computer Science · Computer Science 2010-03-30 Paolo Torrini , Reiko Heckel

Coverage analysis is essential for validating the safety of autonomous driving systems, yet existing approaches typically assess coverage factors individually or in limited combinations, struggling to capture the complex interactions…

Methodology · Statistics 2026-02-03 Thomas Muehlenstädt , Marius Bause

Graph convolutional networks (GCNs) have recently achieved great empirical success in learning graph-structured data. To address its scalability issue due to the recursive embedding of neighboring features, graph topology sampling has been…

Machine Learning · Computer Science 2023-12-12 Hongkang Li , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

By viewing entanglement as a state function, a new kind of phase transition takes place: the geometric phase transition. This phenomenon occurs due to singularities in the shape of the entangled states set. It is shown how this result can…

Quantum Physics · Physics 2007-05-23 Daniel Cavalcanti , Fernando G. S. L. Brandao , Marcelo O. Terra Cunha

Fault detection has a long tradition: the necessity to provide the most accurate diagnosis possible for a process plant criticality is somehow intrinsic in its functioning. Continuous monitoring is a possible way for early detection.…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Martina Teruzzi , Nicola Demo , Gianluigi Rozza

Most of the engineering and physical systems are generally characterized by differential and difference equations based on their continuous-time and discrete-time dynamics, respectively. Moreover, these dynamical models are analyzed using…

Logic in Computer Science · Computer Science 2021-11-22 Muhammad Ahmed , Adnan Rashid

This paper addresses the problem of checking invariant properties for a large class of symbolic transition systems, defined by a combination of SMT theories and quantifiers. State variables can be functions from an uninterpreted sort…

Logic in Computer Science · Computer Science 2024-03-01 Gianluca Redondi , Alessandro Cimatti , Alberto Griggio , Kenneth McMillan

This paper presents an angle-based approach for distributed formation shape stabilization of multi-agent systems in the plane. We develop an angle rigidity theory to study whether a planar framework can be determined by angles between…

Systems and Control · Computer Science 2019-03-05 Gangshan Jing , Guofeng Zhang , Heung Wing Joseph Lee , Long Wang

3D shape editing is widely used in a range of applications such as movie production, computer games and computer aided design. It is also a popular research topic in computer graphics and computer vision. In past decades, researchers have…

Graphics · Computer Science 2021-03-03 Yu-Jie Yuan , Yu-Kun Lai , Tong Wu , Lin Gao , Ligang Liu

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

Probabilistic graphical models combine the graph theory and probability theory to give a multivariate statistical modeling. They provide a unified description of uncertainty using probability and complexity using the graphical model.…

Machine Learning · Statistics 2011-11-30 Yang Zhou

Graphs are used as models in many areas of computer science and computer engineering. For example graphs are used to represent syntax, control and data flow, dependency, state spaces, models such as UML and other types of domain-specific…

Logic in Computer Science · Computer Science 2017-12-25 Timo Kehrer , Alice Miller

Recently, many graph matching methods that incorporate pairwise constraint and that can be formulated as a quadratic assignment problem (QAP) have been proposed. Although these methods demonstrate promising results for the graph matching…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Fudong Wang , Nan Xue , Yipeng Zhang , Xiang Bai , Gui-Song Xia

Sampling from distributions of implicitly defined shapes enables analysis of various energy functionals used for image segmentation. Recent work describes a computationally efficient Metropolis-Hastings method for accomplishing this task.…

Computer Vision and Pattern Recognition · Computer Science 2012-05-17 Jason Chang , John W. Fisher

Graph structures are ubiquitous throughout the natural sciences. Here we consider graph-structured quantum data and describe how to carry out its quantum machine learning via quantum neural networks. In particular, we consider training data…

Quantum Physics · Physics 2021-03-22 Kerstin Beer , Megha Khosla , Julius Köhler , Tobias J. Osborne

Graph transformations definable in logic can be described using the notion of transductions. By understanding transductions as a basic embedding mechanism, which captures the possibility of encoding one graph in another graph by means of…

Combinatorics · Mathematics 2025-01-09 Michał Pilipczuk

The use of formal analysis tools on models or source code often requires the availability of auxiliary invariants about the studied system. Abstract interpretation is currently one of the best approaches to discover useful invariants,…

Logic in Computer Science · Computer Science 2015-03-20 Pierre-Loïc Garoche , Temesghen Kahsai , Cesare Tinelli
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