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Linear thresholding systems have been used as a model of neural activation and have more recently been proposed as a model of gene activation. Deterministic linear thresholding systems can be turned into non-deterministic systems by the…

Neurons and Cognition · Quantitative Biology 2023-11-23 Anna Laddach , Michael Shapiro

Motivated by the recent interest in formal methods-based control for dynamic robots, we discuss the applicability of prescribed performance control to nonlinear systems subject to signal temporal logic specifications. Prescribed performance…

Optimization and Control · Mathematics 2017-09-20 Lars Lindemann , Christos K. Verginis , Dimos V. Dimarogonas

A decade ago, Abdulla, Ben Henda and Mayr introduced the elegant concept of decisiveness for denumerable Markov chains [1]. Roughly speaking, decisiveness allows one to lift most good properties from finite Markov chains to denumerable…

Logic in Computer Science · Computer Science 2018-04-05 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Pierre Carlier

We study deterministic tree-walking-storage automata, which are finite-state devices equipped with a tree-like storage. These automata are generalized stack automata, where the linear stack storage is replaced by a non-linear tree-like…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Martin Kutrib , Uwe Meyer

We introduce a new class of automata on infinite trees called \emph{alternating nonzero automata}, which extends the class of non-deterministic nonzero automata. We reduce the emptiness problem for alternating nonzero automata to the same…

Logic in Computer Science · Computer Science 2018-02-13 Paulin Fournier , Hugo Gimbert

We characterize complete deterministic finite automata with two input letters in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word. The characterization leads to a…

Formal Languages and Automata Theory · Computer Science 2022-08-23 David Casas , Mikhail V. Volkov

Specifying tasks for robotic systems traditionally requires coding expertise, deep domain knowledge, and significant time investment. While learning from demonstration offers a promising alternative, existing methods often struggle with…

Robotics · Computer Science 2024-09-12 Mattijs Baert , Sam Leroux , Pieter Simoens

We study online prediction of bounded stationary ergodic processes. To do so, we consider the setting of prediction of individual sequences and build a deterministic regression tree that performs asymptotically as well as the best…

Statistics Theory · Mathematics 2014-05-12 Pierre Gaillard , Paul Baudin

Data automata on data words is a decidable model proposed by Boja\'nczyk et al. in 2006. Class automata, introduced recently by Boja\'nczyk and Lasota, is an extension of data automata which unifies different automata models on data words.…

Formal Languages and Automata Theory · Computer Science 2011-06-08 Zhilin Wu

In this paper we consider the class of lambda-nondeterministic linear automata as a model of the class of linear languages. As usual in other automata models, lambda-moves do not increase the acceptance power. The main contribution of this…

Formal Languages and Automata Theory · Computer Science 2016-12-01 Benjamín Bedregal

Input-driven pushdown automata with translucent input letters are investigated. Here, the use of translucent input letters means that the input is processed in several sweeps and that, depending on the current state of the automaton, some…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Martin Kutrib , Andreas Malcher , Matthias Wendlandt

To economically deploy robotic manipulators the programming and execution of robot motions must be swift. To this end, we propose a novel, constraint-based method to intuitively specify sequential manipulation tasks and to compute…

Robotics · Computer Science 2022-08-22 Mun Seng Phoon , Philipp S. Schmitt , Georg v. Wichert

We follow a connection between tight determinisation and complementation and establish a complementation procedure from parity automata to nondeterministic B\"uchi automata and prove it to be tight up to an $O(n)$ factor, where $n$ is the…

Formal Languages and Automata Theory · Computer Science 2014-09-12 Sven Schewe , Thomas Varghese

Distributed automata are finite-state machines that operate on finite directed graphs. Acting as synchronous distributed algorithms, they use their input graph as a network in which identical processors communicate for a possibly infinite…

Formal Languages and Automata Theory · Computer Science 2018-12-21 Fabian Reiter

Existing drift detection methods focus on designing sensitive test statistics. They treat the detection threshold as a fixed hyperparameter, set once to balance false alarms and late detections, and applied uniformly across all datasets and…

Machine Learning · Computer Science 2025-11-14 Pengqian Lu , Jie Lu , Anjin Liu , En Yu , Guangquan Zhang

We introduce layered automata, a subclass of alternating parity automata that generalises deterministic automata. Assuming a consistency property, these automata are history deterministic and 0-1 probabilistic. We show that every…

Formal Languages and Automata Theory · Computer Science 2026-01-23 Antonio Casares , Christof Löding , Igor Walukiewicz

Existing literature on timed opacity uses specific definitions for restricted subclasses of timed automata or limited observation models. This lack of a unified definition makes it difficult to establish formal relationships and compare the…

Formal Languages and Automata Theory · Computer Science 2026-03-30 Zhe Zhang , Martijn Goorden , Michel Reniers

This paper contains two results on timed extensions of pushdown automata (PDA). As our first result we prove that the model of dense-timed PDA of Abdulla et al. collapses: it is expressively equivalent to dense-timed PDA with timeless…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Lorenzo Clemente , Sławomir Lasota

It is well known that for a given bottom-up tree automaton it can be decided whether or not there exists deterministic top-down tree automaton that recognized the same tree language. Recently it was claimed that such a decision can be…

Formal Languages and Automata Theory · Computer Science 2023-06-02 Sebastian Maneth , Helmut Seidl

Hyperproperties enable simultaneous reasoning about multiple execution traces of a system and are useful to reason about non-interference, opacity, robustness, fairness, observational determinism, etc. We introduce hyper parametric timed…

Formal Languages and Automata Theory · Computer Science 2024-08-01 Masaki Waga , Étienne André