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Current probabilistic programming languages and tools tightly couple model representations with specific inference algorithms, preventing experimentation with novel representations or mixed discrete-continuous models. We introduce a factor…

Programming Languages · Computer Science 2026-01-01 Ole Fenske , Maximilian Popko , Sebastian Bader , Thomas Kirste

Symbolic control techniques aim to satisfy complex logic specifications. A critical step in these techniques is the construction of a symbolic (discrete) abstraction, a finite-state system whose behaviour mimics that of a given…

Artificial Intelligence · Computer Science 2021-04-29 Alex Devonport , Adnane Saoud , Murat Arcak

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

How to effectively and reliably guarantee the correct functioning of safety-critical cyber-physical systems in uncertain conditions is a challenging problem. This paper presents a data-driven algorithm to derive approximate abstractions for…

Systems and Control · Computer Science 2018-02-01 Gang Chen , Zhaodan Kong

Markov automata combine continuous time, probabilistic transitions, and nondeterminism in a single model. They represent an important and powerful way to model a wide range of complex real-life systems. However, such models tend to be large…

Logic in Computer Science · Computer Science 2014-06-10 Bettina Braitling , Luis María Ferrer Fioriti , Hassan Hatefi , Ralf Wimmer , Bernd Becker , Holger Hermanns

We present a computational model of mathematical reasoning according to which mathematics is a fundamentally stochastic process. That is, on our model, whether or not a given formula is deemed a theorem in some axiomatic system is not a…

Logic · Mathematics 2020-12-16 David H. Wolpert , David Kinney

The probabilistic abstract interpretation framework of neural network analysis analyzes a neural network by analyzing its density distribution flow of all possible inputs. The grids approximation is one of abstract domains the framework…

Artificial Intelligence · Computer Science 2026-03-27 Zhuofan Zhang , Herbert Wiklicky

Approximations during program analysis are a necessary evil, as they ensure essential properties, such as soundness and termination of the analysis, but they also imply not always producing useful results. Automatic techniques have been…

Programming Languages · Computer Science 2018-12-18 Isabel Garcia-Contreras , Jose F. Morales , Manuel V. Hermenegildo

Abstract visual reasoning is a characteristically human ability, allowing the identification of relational patterns that are abstracted away from object features, and the systematic generalization of those patterns to unseen problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Shanka Subhra Mondal , Jonathan D. Cohen , Taylor W. Webb

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

Translating continuous control system models into finite automata allows us to use powerful discrete tools to synthesize controllers for complex specifications. The abstraction construction step is unfortunately hamstrung by high runtime…

Systems and Control · Computer Science 2018-07-27 Eric S. Kim , Murat Arcak

Robotic Process Mining focuses on the identification of the routine types performed by human resources through a User Interface. The ultimate goal is to discover routine-type models to enable robotic process automation. The discovery of…

Robotics · Computer Science 2025-10-14 Massimiliano de Leoni , Faizan Ahmed Khan , Simone Agostinelli

Reasoning requires going beyond pattern matching or memorization of solutions to identify and implement "algorithmic procedures" that can be used to deduce answers to hard problems. Doing so requires realizing the most relevant primitives,…

Artificial Intelligence · Computer Science 2025-10-03 Yuxiao Qu , Anikait Singh , Yoonho Lee , Amrith Setlur , Ruslan Salakhutdinov , Chelsea Finn , Aviral Kumar

Crafting automation systems tailored for specific domains requires aligning the space of human experts' semantics with the space of robot executable actions, and scheduling the required resources and system layout accordingly. Regrettably,…

Robotics · Computer Science 2024-10-10 Yu-Zhe Shi , Qiao Xu , Fanxu Meng , Lecheng Ruan , Qining Wang

We define an admissibility condition for abstractions expressed using angelic semantics and show that these conditions allow us to accelerate planning while preserving the ability to find the optimal motion plan. We then derive admissible…

Artificial Intelligence · Computer Science 2018-06-05 William Vega-Brown , Nicholas Roy

In the present paper we formally define the notion of abstract program slicing, a general form of program slicing where properties of data are considered instead of their exact value. This approach is applied to a language with numeric and…

Logic in Computer Science · Computer Science 2016-05-20 Isabella Mastroeni , Damiano Zanardini

In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction. The intersection of sub-level sets of the partitioning functions defines…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski , Christoffer Sloth

The study of neural computation aims to understand the function of a neural system as an information processing machine. Neural systems are undoubtedly complex, necessitating principled and automated tools to abstract away details to…

Dynamical Systems · Mathematics 2025-07-09 Abel Sagodi , Il Memming Park

We develop a general framework for abstracting the behavior of an agent that operates in a nondeterministic domain, i.e., where the agent does not control the outcome of the nondeterministic actions, based on the nondeterministic situation…

Logic in Computer Science · Computer Science 2023-05-24 Bita Banihashemi , Giuseppe De Giacomo , Yves Lespérance

Due to the unreliability and limited capacity of existing quantum computer prototypes, quantum circuit simulation continues to be a vital tool for validating next generation quantum computers and for studying variational quantum algorithms,…

Quantum Physics · Physics 2021-04-01 Yipeng Huang , Steven Holtzen , Todd Millstein , Guy Van den Broeck , Margaret Martonosi