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Alternating automata have been widely used to model and verify systems that handle data from finite domains, such as communication protocols or hardware. The main advantage of the alternating model of computation is that complementation is…

Formal Languages and Automata Theory · Computer Science 2017-08-17 Radu Iosif , Xiao Xu

Since the seminal work by Angluin and the introduction of the L*-algorithm, active learning of automata by membership and equivalence queries has been extensively studied to learn various extensions of automata. For weighted automata,…

Formal Languages and Automata Theory · Computer Science 2025-08-13 Laure Daviaud , Marianne Johnson

In this paper, we consider the problem of piecewise affine abstraction of nonlinear systems, i.e., the overapproximation of its nonlinear dynamics by a pair of piecewise affine functions that "includes" the dynamical characteristics of the…

Optimization and Control · Mathematics 2018-11-07 Kanishka Raj Singh , Qiang Shen , Sze Zheng Yong

Reachability analysis for hybrid systems is an active area of development and has resulted in many promising prototype tools. Most of these tools allow users to express hybrid system as automata with a set of ordinary differential equations…

Programming Languages · Computer Science 2017-04-12 Yingfu Zeng , Ferenc Bartha , Walid Taha

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Chelsea Sidrane , Jana Tumova

Abstraction of operation processes is a fundamental step for simulation modeling. To reliably abstract an operation process, modelers rely on text information to study and understand details of operations. Aiming at reducing modelers'…

Information Retrieval · Computer Science 2020-07-07 Yitong Li , Wenying Ji , Simaan M. AbouRizk

The field of artificial intelligence (AI) is devoted to the creation of artificial decision-makers that can perform (at least) on par with the human counterparts on a domain of interest. Unlike the agents in traditional AI, the agents in…

Artificial Intelligence · Computer Science 2021-12-28 Sultan J. Majeed

Causal abstraction is a promising theoretical framework for explainable artificial intelligence that defines when an interpretable high-level causal model is a faithful simplification of a low-level deep learning system. However, existing…

Artificial Intelligence · Computer Science 2024-02-23 Atticus Geiger , Zhengxuan Wu , Christopher Potts , Thomas Icard , Noah D. Goodman

Whereas distributed computing research has been very successful in exploring the solvability/impossibility border of distributed computing problems like consensus in representative classes of computing models with respect to model…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-27 Hugo Rincon Galeana , Ulrich Schmid

The lambda-calculus is a peculiar computational model whose definition does not come with a notion of machine. Unsurprisingly, implementations of the lambda-calculus have been studied for decades. Abstract machines are implementations…

Programming Languages · Computer Science 2017-01-04 Beniamino Accattoli

Autonomous robots operating in dynamic environments must maintain beliefs over a hypothesis space that is rich enough to represent the activities of interest at different scales. This is important both in order to accommodate the…

Artificial Intelligence · Computer Science 2016-07-26 Majd Hawasly , Florian T. Pokorny , Subramanian Ramamoorthy

The displacement-actuated continuum robot as an abstraction has been shown as a key abstraction to significantly simplify and improve approaches due to its relation to the Clarke transform. To highlight further potentials, we revisit and…

Robotics · Computer Science 2025-03-24 Reinhard M. Grassmann , Jessica Burgner-Kahrs

We present a novel automata-based approach to address linear temporal logic modulo theory (LTL-MT) as a specification language for data words. LTL-MT extends LTL_f by replacing atomic propositions with quantifier-free multi-sorted…

Logic in Computer Science · Computer Science 2024-08-19 Marco Faella , Gennaro Parlato

We consider the optimization variant of the realizability problem for Prompt Linear Temporal Logic, an extension of Linear Temporal Logic (LTL) by the prompt eventually operator whose scope is bounded by some parameter. In the realizability…

Logic in Computer Science · Computer Science 2016-09-15 Leander Tentrup , Alexander Weinert , Martin Zimmermann

Multi-robot path planning is difficult due to the combinatorial explosion of the search space with every new robot added. Complete search of the combined state-space soon becomes intractable. In this paper we present a novel form of…

Artificial Intelligence · Computer Science 2011-11-02 Malcolm Ross Kinsella Ryan

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

We consider the typical asymptotic behaviour of cellular automata of higher dimension (greater than 2). That is, we take an initial configuration at random according to a Bernoulli (i.i.d) probability measure, iterate some cellular…

Dynamical Systems · Mathematics 2017-02-21 Martin Delacourt , Benjamin Hellouin de Menibus

$\mu$-Calculus and automata on infinite trees are complementary ways of describing infinite tree languages. The correspondence between $\mu$-Calculus and alternating tree automaton is used to solve the satisfiability and model checking…

Logic in Computer Science · Computer Science 2016-02-03 M. Fareed Arif

In this paper, we consider reachability games over general hybrid systems, and distinguish between two possible observation frameworks for those games: either the precise dynamics of the system is seen by the players (this is the perfect…

Logic in Computer Science · Computer Science 2015-07-01 Patricia Bouyer , Thomas Brihaye , Fabrice Chevalier

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