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A symmetry of a dynamical system is a map that transforms one trajectory to another trajectory. We introduce a new type of abstraction for hybrid automata based on symmetries. The abstraction combines different modes in a concrete automaton…

Systems and Control · Electrical Eng. & Systems 2020-06-18 Hussein Sibai , Sayan Mitra

Safety verification of robot applications is extremely challenging due to the complexity of the environment that a robot typically operates in. Formal verification with model-checking provides guarantees but it may often take too long or…

Robotics · Computer Science 2025-05-30 Christoph Luckeneder , Ralph Hoch , Hermann Kaindl

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2008-11-04 David Monniaux

In this paper, we propose a software abstraction layer to simplify the design and synthesis of whole-body controllers without making any preliminary assumptions on the control law to be implemented. The main advantage of the proposed…

This paper addresses the problem of learning abstractions that boost robot planning performance while providing strong guarantees of reliability. Although state-of-the-art hierarchical robot planning algorithms allow robots to efficiently…

Robotics · Computer Science 2022-04-26 Naman Shah , Siddharth Srivastava

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

Previous approaches to constructing abstractions for control systems rely on geometric conditions or, in the case of an interconnected control system, a condition on the interconnection topology. Since these conditions are not always…

Optimization and Control · Mathematics 2020-05-22 Stanley W. Smith , Murat Arcak , Majid Zamani

At its core, abstraction is the process of generalizing from specific instances to broader concepts or models, with the primary objective of reducing complexity while preserving properties essential to the intended purpose. It is…

Logic in Computer Science · Computer Science 2026-01-06 Andrzej Szalas

Abstraction is the process of extracting the essential features from raw data while ignoring irrelevant details. It is well known that abstraction emerges with depth in neural networks, where deep layers capture abstract characteristics of…

Machine Learning · Computer Science 2026-03-04 Carlo Orientale Caputo , Elias Seiffert , Enrico Frausin , Matteo Marsili

A key question that arises in rigorous analysis of cyberphysical systems under attack involves establishing whether or not the attacked system deviates significantly from the ideal allowed behavior. This is the problem of deciding whether…

Systems and Control · Computer Science 2014-01-08 Sayan Mitra

Process mining techniques focus on extracting insight in processes from event logs. In many cases, events recorded in the event log are too fine-grained, causing process discovery algorithms to discover incomprehensible process models or…

Machine Learning · Computer Science 2017-12-20 Niek Tax , Natalia Sidorova , Reinder Haakma , Wil M. P. van der Aalst

The amount of text data available online is increasing at a very fast pace hence text summarization has become essential. Most of the modern recommender and text classification systems require going through a huge amount of data. Manually…

Computation and Language · Computer Science 2021-08-03 Anushka Gupta , Diksha Chugh , Anjum , Rahul Katarya

Humans are extremely swift learners. We are able to grasp highly abstract notions, whether they come from art perception or pure mathematics. Current machine learning techniques demonstrate astonishing results in extracting patterns in…

Artificial Intelligence · Computer Science 2019-07-30 Alexander V. Terekhov , J. Kevin O'Regan

ion is one of the most promising approaches to improve the performance of problem solvers. In several domains abstraction by dropping sentences of a domain description -- as used in most hierarchical planners -- has proven useful. In this…

Artificial Intelligence · Computer Science 2009-09-25 R. Bergmann , W. Wilke

The pursuit of interpretable artificial intelligence has led to significant advancements in the development of methods that aim to explain the decision-making processes of complex models, such as deep learning systems. Among these methods,…

Machine Learning · Computer Science 2024-10-29 Yihao Zhang

Automatic summarization is the process of shortening a set of textual data computationally, to create a subset (a summary) that represents the most important pieces of information in the original text. Existing summarization methods can be…

Computation and Language · Computer Science 2022-04-21 Meng Cao

Model checking of multi-agent systems (MAS) is known to be hard, both theoretically and in practice. A smart abstraction of the state space may significantly reduce the model, and facilitate the verification. In this paper, we propose and…

Multiagent Systems · Computer Science 2023-10-19 Wojciech Jamroga , Yan Kim

We present a new active model-learning approach to generating abstractions of a system implementation, as finite state automata (FSAs), from execution traces. Given an implementation and a set of observable system variables, the generated…

Formal Languages and Automata Theory · Computer Science 2021-12-15 Natasha Yogananda Jeppu , Tom Melham , Daniel Kroening

Finite-state abstractions are widely studied for the automated synthesis of correct-by-construction controllers for stochastic dynamical systems. However, existing abstraction methods often lead to prohibitively large finite-state models.…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Thom Badings , Licio Romao , Alessandro Abate , Nils Jansen