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This paper studies the synthesis of controllers for discrete-time, continuous state stochastic systems subject to omega-regular specifications using finite-state abstractions. We present a synthesis algorithm for minimizing or maximizing…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Maxence Dutreix , Jeongmin Huh , Samuel Coogan

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

The abstraction of dynamical systems is a powerful tool that enables the design of feedback controllers using a correct-by-design framework. We investigate a novel scheme to obtain data-driven abstractions of discrete-time stochastic…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Rudi Coppola , Andrea Peruffo , Licio Romao , Alessandro Abate , Manuel Mazo

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 2010-07-28 David Monniaux

Controller synthesis techniques for continuous systems with respect to temporal logic specifications typically use a finite-state symbolic abstraction of the system. Constructing this abstraction for the entire system is computationally…

Systems and Control · Computer Science 2017-09-28 Kaushik Mallik , Sadegh Esmaeil Zadeh Soudjani , Anne-Kathrin Schmuck , Rupak Majumdar

Controller synthesis techniques for continuous systems with respect to temporal logic specifications typically use a finite-state symbolic abstraction of the system model. Constructing this abstraction for the entire system is…

Systems and Control · Computer Science 2017-08-10 Kaushik Mallik , Anne-Kathrin Schmuck , Sadegh Soudjani , Rupak Majumdar

Model checking has found a role in the engineering of reactive systems. However, model checkers are still strongly limited by the size of the system description they can check. Here we present a technique in which a system is simplified…

Software Engineering · Computer Science 2023-08-01 Glenn Bruns

Formal verification of intelligent agents is often computationally infeasible due to state-space explosion. We present a tool for reducing the impact of the explosion by means of state abstraction that is (a) easy to use and understand by…

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

We consider abstraction-based design of output-feedback controllers for dynamical systems with a finite set of inputs and outputs against specifications in linear-time temporal logic. The usual procedure for abstraction-based controller…

Systems and Control · Electrical Eng. & Systems 2020-02-10 Rupak Majumdar , Necmiye Ozay , Anne-Kathrin Schmuck

Simulation-based compositional abstraction effectively mitigates state space explosion in model checking, particularly for timed systems. However, existing approaches do not support broadcast synchronization, an important mechanism for…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Hanyue Chen , Miaomiao Zhang , Frits Vaandrager

This report outlines an approach to learning generative models from data. We express models as probabilistic programs, which allows us to capture abstract patterns within the examples. By choosing our language for programs to be an…

Artificial Intelligence · Computer Science 2011-10-27 Irvin Hwang , Andreas Stuhlmüller , Noah D. Goodman

Abstraction is a key verification technique to improve scalability. However, its use for neural networks is so far extremely limited. Previous approaches for abstracting classification networks replace several neurons with one of them that…

Logic in Computer Science · Computer Science 2023-07-21 Calvin Chau , Jan Křetínský , Stefanie Mohr

In this report proofs are presented for a method for abstracting continuous dynamical systems by timed automata. The method is based on partitioning the state space of dynamical systems with invariant sets, which form cells representing…

Systems and Control · Computer Science 2010-08-20 Christoffer Sloth , Rafael Wisniewski

Monotonic abstraction is a technique introduced in model checking parameterized distributed systems in order to cope with transitions containing global conditions within guards. The technique has been re-interpreted in a declarative setting…

Logic in Computer Science · Computer Science 2014-11-17 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

This paper presents a compositional approach to specification-guided abstraction refinement for control synthesis of a nonlinear system associated with a method to over-approximate its reachable sets. Given an initial coarse partition of…

Systems and Control · Computer Science 2017-12-19 Pierre-Jean Meyer , Dimos V. Dimarogonas

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while…

Formal Languages and Automata Theory · Computer Science 2019-05-27 Victor Roussanaly , Ocan Sankur , Nicolas Markey

Many methods for Model-based Reinforcement learning (MBRL) in Markov decision processes (MDPs) provide guarantees for both the accuracy of the model they can deliver and the learning efficiency. At the same time, state abstraction…

Machine Learning · Computer Science 2023-11-16 Rolf A. N. Starre , Marco Loog , Elena Congeduti , Frans A. Oliehoek

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

Abstraction is a commonly used process to represent some low-level system by a more coarse specification with the goal to omit unnecessary details while preserving important aspects. While recent work on abstraction in the situation…

Artificial Intelligence · Computer Science 2023-03-02 Till Hofmann , Vaishak Belle