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Partially ordered automata are automata where the transition relation induces a partial order on states. The expressive power of partially ordered automata is closely related to the expressivity of fragments of first-order logic on finite…

Logic in Computer Science · Computer Science 2023-06-22 Tomáš Masopust , Markus Krötzsch

Cellular automata are one-dimensional arrays of interconnected interacting finite automata. We investigate one of the weakest classes, the real-time one-way cellular automata, and impose an additional restriction on their inter-cell…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Martin Kutrib , Andreas Malcher

In this paper we present several strategies for multiple relay networks which are constrained by a half-duplex operation, i. e., each node either transmits or receives on a particular resource. Using the discrete memoryless multiple relay…

Information Theory · Computer Science 2007-12-24 P. Rost , G. Fettweis

Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to…

Formal Languages and Automata Theory · Computer Science 2022-08-12 Felix Stutz , Damien Zufferey

Time-space tradeoff has been studied in a variety of models, such as Turing machines, branching programs, and finite automata, etc. While communication complexity as a technique has been applied to study finite automata, it seems it has not…

Computational Complexity · Computer Science 2023-12-01 Shenggen Zheng , Yaqiao Li , Minghua Pan , Jozef Gruska , Lvzhou Li

Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Felix Stutz , Damien Zufferey

In spatially distributed multiuser antenna systems, the received signal contains multiple carrier-frequency offsets (CFOs) arising from mismatch between the oscillators of transmitters and receivers. This results in a time-varying rotation…

Information Theory · Computer Science 2007-07-13 Yuanning Yu , Athina P. Petropulu , H. Vincent Poor

We propose a general greedy algorithm for binary de Bruijn sequences, called Generalized Prefer-Opposite (GPO) Algorithm, and its modifications. By identifying specific feedback functions and initial states, we demonstrate that most…

Information Theory · Computer Science 2021-05-27 Zuling Chang , Martianus Frederic Ezerman , Adamas Aqsa Fahreza

We introduce partially ordered two-way B\"uchi automata and characterize their expressive power in terms of fragments of first-order logic FO[<]. Partially ordered two-way B\"uchi automata are B\"uchi automata which can change the direction…

Formal Languages and Automata Theory · Computer Science 2015-05-19 Manfred Kufleitner , Alexander Lauser

Diversity-multiplexing trade-off has been studied extensively to quantify the benefits of different relaying strategies in terms of error and rate performance. However, even in the case of a single half-duplex relay, which seems fully…

Information Theory · Computer Science 2013-05-16 Ritesh Kolte , Ayfer Özgür

Several concept learning problems can be regarded as special cases of half-space separation in abstract closure systems over finite ground sets. For the typical scenario that the closure system is implicitly given via a closure operator, we…

Artificial Intelligence · Computer Science 2022-06-14 Florian Seiffarth , Tamas Horvath , Stefan Wrobel

Decision trees and decision rule systems play important roles as classifiers, knowledge representation tools, and algorithms. They are easily interpretable models for data analysis, making them widely used and studied in computer science.…

Artificial Intelligence · Computer Science 2024-01-17 Kerven Durdymyradov , Mikhail Moshkov

We develop an effective and natural approach to interpret any semigroup admitting a special language of greedy normal forms as an automaton semigroup,namely the semigroup generated by a Mealy automaton encoding the behaviour of such a…

Group Theory · Mathematics 2018-12-06 Matthieu Picantin

In the present paper we propose a new approach on `distributed systems': the processes are represented through total orders and the communications are characterized by means of biorders. The resulting distributed systems capture situations…

Logic · Mathematics 2023-06-30 Asier Estevan Muguerza

When used as verifiers in Arthur-Merlin systems, two-way quantum finite automata can verify membership in all languages with bounded error with double-exponential expected running time, which cannot be achieved by their classical…

Formal Languages and Automata Theory · Computer Science 2025-02-19 Zeyu Chen , Abuzer Yakaryılmaz

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

We study the gossip problem in a message-passing environment: When a process receives a message, it has to decide whether the sender has more recent information on other processes than itself. This problem is at the heart of many…

Formal Languages and Automata Theory · Computer Science 2018-04-30 Benedikt Bollig , Marie Fortin , Paul Gastin

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

The recent significant progress in realizing full-duplex~(FD) systems has opened up a promising avenue for improving quality of service (QoS) and quality of experience (QoE) in future wireless networks. There is an urgent need to address…

Information Theory · Computer Science 2016-11-17 Lingyang Song , Yonghui Li , Zhu Han

Full-Duplex Speech Dialogue Systems (Full-Duplex SDS) have significantly enhanced the naturalness of human-machine interaction by enabling real-time bidirectional communication. However, existing approaches face challenges such as…

Computation and Language · Computer Science 2025-05-30 Borui Liao , Yulong Xu , Jiao Ou , Kaiyuan Yang , Weihua Jian , Pengfei Wan , Di Zhang