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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

Predicate abstraction provides a powerful tool for verifying properties of infinite-state systems using a combination of a decision procedure for a subset of first-order logic and symbolic methods originally developed for finite-state model…

Logic in Computer Science · Computer Science 2007-05-23 Shuvendu K. Lahiri , Randal E. Bryant

In this paper we revisit the well-known technique of predicate abstraction to characterise performance attributes of system models incorporating probability. We recast the theory using expectation transformers, and identify transformer…

Logic in Computer Science · Computer Science 2010-06-29 Ukachukwu Ndukwu , Annabelle McIver

In this paper we consider the problem of configuring partial predicate abstraction that combines two techniques that have been effective in analyzing infinite-state systems: predicate abstraction and fixpoint approximations. A fundamental…

Logic in Computer Science · Computer Science 2018-01-09 Tuba Yavuz , Chelsea Metcalf

Broadly intelligent agents should form task-specific abstractions that selectively expose the essential elements of a task, while abstracting away the complexity of the raw sensorimotor space. In this work, we present Neuro-Symbolic…

Artificial Intelligence · Computer Science 2025-03-04 Yichao Liang , Nishanth Kumar , Hao Tang , Adrian Weller , Joshua B. Tenenbaum , Tom Silver , João F. Henriques , Kevin Ellis

Abstract models of system-level behaviour have applications in design exploration, analysis, testing and verification. We describe a new algorithm for automatically extracting useful models, as automata, from execution traces of a HW/SW…

Formal Languages and Automata Theory · Computer Science 2020-05-06 Natasha Yogananda Jeppu , Tom Melham , Daniel Kroening , John O'Leary

The technique of abstracting abstract machines (AAM) provides a systematic approach for deriving computable approximations of evaluators that are easily proved sound. This article contributes a complementary step-by-step process for…

Programming Languages · Computer Science 2013-07-25 J. Ian Johnson , Nicholas Labich , Matthew Might , David Van Horn

The deployment of autonomous systems in safety-critical environments requires control policies that guarantee satisfaction of complex control specifications. These systems are commonly modeled as nonlinear discrete-time stochastic systems.…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Alessandro Riccardi , Thom Badings , Luca Laurenti , Alessandro Abate , Bart De Schutter

This paper proposes a method for abstracting control systems by timed game automata, and is aimed at obtaining automatic controller synthesis. The proposed abstraction is based on partitioning the state space of a control system using…

Systems and Control · Computer Science 2010-12-24 Christoffer Sloth , Rafael Wisniewski

We present a new approach to automatic amortized inference in universal probabilistic programs which improves performance compared to current methods. Our approach is a variation of inference compilation (IC) which leverages deep neural…

Machine Learning · Computer Science 2019-10-29 William Harvey , Andreas Munk , Atılım Güneş Baydin , Alexander Bergholm , Frank Wood

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

Efficient planning in continuous state and action spaces is fundamentally hard, even when the transition model is deterministic and known. One way to alleviate this challenge is to perform bilevel planning with abstractions, where a…

Artificial Intelligence · Computer Science 2025-05-28 Tom Silver , Rohan Chitnis , Nishanth Kumar , Willie McClinton , Tomas Lozano-Perez , Leslie Pack Kaelbling , Joshua Tenenbaum

We present a probabilistic model with discrete latent variables that control the computation time in deep learning models such as ResNets and LSTMs. A prior on the latent variables expresses the preference for faster computation. The amount…

Machine Learning · Computer Science 2017-12-04 Michael Figurnov , Artem Sobolev , Dmitry Vetrov

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

We present a new approach for performing predicate abstraction based on symbolic decision procedures. Intuitively, a symbolic decision procedure for a theory takes a set of predicates in the theory and symbolically executes a decision…

Logic in Computer Science · Computer Science 2017-01-11 Shuvendu K. Lahiri , Thomas Ball , Byron Cook

Predicting stochastic cellular dynamics as emerging from the mechanistic models of molecular interactions is a long-standing challenge in systems biology: low-level chemical reaction network (CRN) models give raise to a highly-dimensional…

Molecular Networks · Quantitative Biology 2020-02-06 Tatjana Petrov , Denis Repin

Neural networks are becoming a popular tool for solving many real-world problems such as object recognition and machine translation, thanks to its exceptional performance as an end-to-end solution. However, neural networks are complex…

Machine Learning · Computer Science 2020-09-29 Guoliang Dong , Jingyi Wang , Jun Sun , Yang Zhang , Xinyu Wang , Ting Dai , Jin Song Dong , Xingen Wang

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…

Logic in Computer Science · Computer Science 2019-03-14 David Monniaux

The goal of this paper is to obtain online abstractions for coupled multi-agent systems in a decentralized manner. A discrete model which captures the motion capabilities of each agent is derived over a bounded time-horizon, by discretizing…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Dimitris Boskos , Dimos V. Dimarogonas

Finite-state abstractions (a.k.a. symbolic models) present a promising avenue for the formal verification and synthesis of controllers in continuous-space control systems. These abstractions provide simplified models that capture the…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Daniel Ajeleye , Majid Zamani
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