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Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

Artificial Intelligence · Computer Science 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey

Hyperproperties elevate the traditional view of trace properties form sets of traces to sets of sets of traces and provide a formalism for expressing information-flow policies. For trace properties, algorithms for verification, monitoring,…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Bernd Finkbeiner , Lennart Haas , Hazem Torfah

Finitary Idealized Concurrent Algol (FICA) is a prototypical programming language combining functional, imperative, and concurrent computation. There exists a fully abstract game model of FICA, which in principle can be used to prove…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Alex Dixon , Ranko Lazić , Andrzej S. Murawski , Igor Walukiewicz

MITL is a temporal logic that facilitates the verification of real-time systems by expressing the critical timing constraints placed on these systems. MITL specifications can be checked against system models expressed as networks of timed…

Logic in Computer Science · Computer Science 2025-05-12 Bernd Finkbeiner , Felix Jahn , Julian Siber

Reconfiguration paths express sequences of successive reconfiguration operations within a component-based approach allowing dynamic reconfigurations. We use constructs from regular expressions-pin particular, alternatives-to introduce…

Software Engineering · Computer Science 2017-03-22 Jean-Michel Hufflen

Dynamical systems at the edge of chaos, which have been considered as models of self-organization phenomena, are marked by their ability to perform nontrivial computations. To distinguish them from systems with limited computing power, we…

chao-dyn · Physics 2008-02-03 Petr Kurka

Model-Based Anomaly Detection has been a successful approach to identify deviations from the expected behavior of Cyber-Physical Production Systems. Since manual creation of these models is a time-consuming process, it is advantageous to…

Artificial Intelligence · Computer Science 2023-08-28 Tom Westermann , Milapji Singh Gill , Alexander Fay

We present a new language semantics for real-time concurrency. Its operational models are higher-dimensional timed automata (HDTAs), a generalization of both higher-dimensional automata and timed automata. In real-time concurrent systems,…

Formal Languages and Automata Theory · Computer Science 2025-02-06 Amazigh Amrane , Hugo Bazille , Emily Clement , Uli Fahrenberg , Philipp Schlehuber-Caissier

A new class of automata networks is defined. Their evolution rules are determined by a probability measure p on the set of all integers Z and an indicator function I_A on the interval [0,1]. It is shown that any cellular automaton rule can…

chao-dyn · Physics 2009-10-28 N. Boccara , H. Fuks , S. Geurten

Alternating timed automata (ATA) are an extension of timed automata, that are closed under complementation and hence amenable to logic-to-automata translations. Several timed logics, including Metric Temporal Logic (MTL), can be converted…

Logic in Computer Science · Computer Science 2026-01-07 Patricia Bouyer , B Srivathsan , Vaishnavi Vishwanath

Parametric timed automata (PTAs) are a powerful formalism to reason, simulate and formally verify critical real-time systems. After 25 years of research on PTAs, it is now well-understood that any non-trivial problem studied is undecidable…

Logic in Computer Science · Computer Science 2019-07-04 Étienne André

This paper describes a method for converting formulas in finite propositional linear-time temporal logic (Finite LTL) into finite-state automata whose languages are the models of the given formula. Finite LTL differs from traditional LTL in…

Logic in Computer Science · Computer Science 2020-06-23 Samuel Huang , Rance Cleaveland

We propose a new description of dynamics of autonomous mechanical systems which includes the momentum-velocity relation. This description is formulated as a variational principle of virtual action more complete than the Hamilton Principle.…

Mathematical Physics · Physics 2007-05-23 Wlodzimierz M. Tulczyjew

Recent vision-language models have strong perceptual ability but their implicit reasoning is hard to explain and easily generates hallucinations on complex queries. Compositional methods improve interpretability, but most rely on a single…

Artificial Intelligence · Computer Science 2026-01-28 Zhixi Cai , Fucai Ke , Kevin Leo , Sukai Huang , Maria Garcia de la Banda , Peter J. Stuckey , Hamid Rezatofighi

In this paper, we consider the robot motion (or task) planning problem under some given time bounded high level specifications. We use metric interval temporal logic (MITL), a member of the temporal logic family, to represent the task…

Systems and Control · Computer Science 2016-03-30 Yuchen Zhou , Dipankar Maity , John S. Baras

Automata over infinite objects are a well-established model with applications in logic and formal verification. Traditionally, acceptance in such automata is defined based on the set of states visited infinitely often during a run. However,…

Formal Languages and Automata Theory · Computer Science 2025-09-22 Antonio Casares

Research in robotic planning with temporal logic specifications, such as Linear Temporal Logic (LTL), has relied on single formulas. However, as task complexity increases, LTL formulas become lengthy, making them difficult to interpret and…

Robotics · Computer Science 2025-06-06 Xusheng Luo , Changliu Liu

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

A mimic computing oriented automaton can directly portray the behaviors of a mimic computing system. In this paper, we investigate the following theoretical problems on this type of automata: operational semantics and computational ability.…

Formal Languages and Automata Theory · Computer Science 2018-01-30 Weijun Zhu

We study the runtime verification of hyperproperties, expressed in the temporal logic HyperLTL, as a means to inspect a system with respect to security polices. Runtime monitors for hyperproperties analyze trace logs that are organized by…

Logic in Computer Science · Computer Science 2021-01-21 Borzoo Bonakdarpour , Bernd Finkbeiner
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