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We describe a framework of hybrid cognition by formulating a hybrid cognitive agent that performs hierarchical active inference across a human and a machine part. We suggest that, in addition to enhancing human cognitive functions with an…

Artificial Intelligence · Computer Science 2018-10-08 André Ofner , Sebastian Stober

Recent progress in large language models demonstrates that hybrid architectures--combining self-attention mechanisms with structured state space models like Mamba--can achieve a compelling balance between modeling quality and computational…

Computation and Language · Computer Science 2026-04-22 Sangmin Bae , Bilge Acun , Chien-Yu Lin , Haroun Habeeb , Seungyeon Kim , Liang Luo , Junjie Wang , Carole-Jean Wu

We begin by reviewing a technique to approximate the dynamics of stochastic programs --written in a stochastic process algebra-- by a hybrid system, suitable to capture a mixed discrete/continuous evolution. In a nutshell, the discrete…

Programming Languages · Computer Science 2009-10-09 Luca Bortolussi , Alberto Policriti

How do we measure genuine understanding in artificial cognitive systems? Current approaches face a measurement gap: probabilistic systems refine confidence gradually, practice-based systems compile knowledge through repeated execution, and…

Neurons and Cognition · Quantitative Biology 2026-05-05 Igor Balaz

In the last few years there has been a growing interest in the use of symbolic models for the formal verification and control design of purely continuous or hybrid systems. Symbolic models are abstract descriptions of continuous systems…

Optimization and Control · Mathematics 2016-11-26 Alessandro Borri , Giordano Pola , Maria Domenica Di Benedetto

We explore the role of ontologies in enhancing hybrid modeling and simulation through improved semantic rigor, model reusability, and interoperability across systems, disciplines, and tools. By distinguishing between methodological and…

Artificial Intelligence · Computer Science 2025-06-17 John Beverley , Andreas Tolk

This paper introduces robust differential dynamic logic (a fragment of differential dynamic logic) to specify and reason about robust hybrid systems. Practically meaningful syntactic restrictions naturally ensure that definable properties…

Logic in Computer Science · Computer Science 2026-02-27 Noah Abou El Wafa , André Platzer

Despite the possibility to quickly compute reachable sets of large-scale linear systems, current methods are not yet widely applied by practitioners. The main reason for this is probably that current approaches are not push-button-capable…

Numerical Analysis · Mathematics 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Matthias Althoff

Computing tight over-approximation of reach sets of a controlled uncertain dynamical system is a common practice in verification of safety-critical cyber-physical systems (CPS). While several algorithms are available for this purpose, they…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Shadi Haddad , Abhishek Halder

Given a Probabilistic Finite Automata (PFA), a set of states S, and an error threshold e > 0, our algorithm approximates the infimum probability (quantifying over all infinite words) that the automata reaches S. Our result contrasts with…

Logic in Computer Science · Computer Science 2010-09-21 Sergio Giro

Next-generation intelligent systems must plan and execute complex tasks with imperfect information about their environment. As a result, plans must also include actions to learn about the environment. This is known as active perception.…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Rafael Rodrigues da Silva , Vince Kurtz , Hai Lin

As safety-critical autonomous vehicles (AVs) will soon become pervasive in our society, a number of safety concepts for trusted AV deployment have recently been proposed throughout industry and academia. Yet, achieving consensus on an…

Robotics · Computer Science 2022-06-22 Karen Leung , Andrea Bajcsy , Edward Schmerling , Marco Pavone

Implicit Computational Complexity makes two aspects implicit, by manipulating programming languages rather than models of com-putation, and by internalizing the bounds rather than using external measure. We survey how automata theory…

Logic in Computer Science · Computer Science 2015-02-05 Clément Aubert

Randomized sampling based algorithms are widely used in robot motion planning due to the problem's intractability, and are experimentally effective on a wide range of problem instances. Most variants bias their sampling using various…

Inspired by the increased cooperation between humans and autonomous systems, we present a new hybrid systems framework capturing the interconnected dynamics underlying these interactions. The framework accommodates models arising from both…

Robotics · Computer Science 2025-10-13 Daniel A. Williams , Airlie Chapman , Chris Manzie

Symbolic automata are finite state automata that support potentially infinite alphabets, such as the set of rational numbers, generally applied to regular expressions/languages over finite words. In symbolic automata (or automata modulo…

Formal Languages and Automata Theory · Computer Science 2023-10-05 Margus Veanes , Thomas Ball , Gabriel Ebner , Olli Saarikivi

Automata representing game-semantic models of programs are meant to operate in environments whose input-output behaviour is constrained by the rules of a game. This can lead to a notion of equivalence between states which is weaker than the…

Programming Languages · Computer Science 2012-12-18 Dan R. Ghica , Zaid Al-Zobaidi

Boolean programs with multiple recursive threads can be captured as pushdown automata with multiple stacks. This model is Turing complete, and hence, one is often interested in analyzing a restricted class that still captures useful…

Formal Languages and Automata Theory · Computer Science 2020-05-06 S. Akshay , Paul Gastin , S Krishna , Sparsa Roychowdhury

Recent advances in deep learning have enabled the development of autonomous systems that use deep neural networks for perception. Formal verification of these systems is challenging due to the size and complexity of the perception DNNs as…

Machine Learning · Computer Science 2025-04-30 Christopher Watson , Rajeev Alur , Divya Gopinath , Ravi Mangal , Corina S. Pasareanu

This paper presents a novel approach to including non-instantaneous discrete control transitions in the linear hybrid automaton approach to simulation and verification of hybrid control systems. In this paper we study the control of a…

Systems and Control · Computer Science 2015-01-26 Avinash Malik , Partha Roop