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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

We define a model of advised computation by finite automata where the advice is provided on a separate tape. We consider several variants of the model where the advice is deterministic or randomized, the input tape head is allowed…

Formal Languages and Automata Theory · Computer Science 2016-03-27 Uğur Küçük , A. C. Cem Say , Abuzer Yakaryılmaz

In this note, we generalize the results of arXiv:0901.2703v1 We show that all one-way quantum finite automaton (QFA) models that are at least as general as Kondacs-Watrous QFA's are equivalent in power to classical probabilistic finite…

Computational Complexity · Computer Science 2010-09-20 Abuzer Yakaryilmaz , A. C. Cem Say

A long-standing aim of quantum information research is to understand what gives quantum computers their advantage. This requires separating problems that need genuinely quantum resources from those for which classical resources are enough.…

Quantum Physics · Physics 2018-03-07 Niklas Johansson , Jan-Åke Larsson

We study the problem of automatically computing the time complexity of concurrent object-oriented programs. To determine this complexity we use intermediate abstract descriptions that record relevant information for the time analysis (cost…

Programming Languages · Computer Science 2015-11-17 Elena Giachino , Einar Broch Johnsen , Cosimo Laneve , Ka I Pun

Condon and Lipton (FOCS 1989) showed that the class of languages having a space-bounded interactive proof system (IPS) is a proper subset of decidable languages, where the verifier is a probabilistic Turing machine. In this paper, we show…

Computational Complexity · Computer Science 2012-07-18 Abuzer Yakaryilmaz

We develop a theory of vector spaces spanned by orbit-finite sets. Using this theory, we give a decision procedure for equivalence of weighted register automata, which are the common generalization of weighted automata and register automata…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Mikołaj Bojańczyk , Joanna Fijalkow , Bartek Klin , Joshua Moerman

We consider the structures given by repeatedly generalising the definition of finite state automata by symmetry considerations, and constructing analogues of transition monoids at each step. This approach first gives us non-deterministic…

Logic in Computer Science · Computer Science 2007-05-23 Peter M. Hines

Autonomous air traffic management (ATM) operations for urban air mobility (UAM) will necessitate the use of distributed protocols for decentralized coordination between aircraft. As UAM operations are time-critical, it will be imperative to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Saswata Paul , Stacy Patterson , Carlos Varela

Aerodynamic drag reduction on highways through vehicle platooning is a well-known concept, but it has not yet seen systematic uptake, arguably because of significant technological and legislative obstacles. As a low-tech entry point to real…

The use of quantum computing for machine learning is among the most exciting prospective applications of quantum technologies. However, machine learning tasks where data is provided can be considerably different than commonly studied…

We study the fundamental limits to communication-efficient distributed methods for convex learning and optimization, under different assumptions on the information available to individual machines, and the types of functions considered. We…

Machine Learning · Computer Science 2015-10-29 Yossi Arjevani , Ohad Shamir

In this paper we study the fault codiagnosis problem for discrete event systems given by finite automata (FA) and timed systems given by timed automata (TA). We provide a uniform characterization of codiagnosability for FA and TA which…

Formal Languages and Automata Theory · Computer Science 2010-04-16 Franck Cassez

A turn in a computation of a pushdown automaton is a switch from a phase in which the height of the pushdown store increases to a phase in which it decreases. Given a pushdown or one-counter automaton, we consider, for each string in its…

Formal Languages and Automata Theory · Computer Science 2026-03-10 Giovanni Pighizzini

Probabilistic automata constitute a versatile and elegant model for concurrent probabilistic systems. They are equipped with a compositional theory supporting abstraction, enabled by weak probabilistic bisimulation serving as the reference…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Andrea Turrini , Holger Hermanns

In this letter we show that communication when restricted to a single information carrier (i.e. single particle) and finite speed of propagation is fundamentally limited for classical systems. On the other hand, quantum systems can surpass…

Quantum Physics · Physics 2018-02-22 Flavio Del Santo , Borivoje Dakić

We describe a computational investigation of tunneling at finite energy in a weakly coupled quantum mechanical system with two degrees of freedom. We compare a full quantum mechanical analysis to the results obtained by making use of a…

High Energy Physics - Phenomenology · Physics 2016-08-25 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

In this paper, we study the extension of 1-clock Alternating Timed Automata (1-ATA) with the ability to read in both forward and backward direction, the 2-Way 1-clock Alternating Timed Automata (2-Way 1-ATA). We show that subclass of 2-Way…

Formal Languages and Automata Theory · Computer Science 2022-03-01 Shankara Narayanan Krishna , Khushraj Nanik Madnani , Manuel Mazo , Paritosh K. Pandya

Let $L_{>\lambda}(\mathcal{A})$ and $L_{\geq\lambda}(\mathcal{A})$ be the languages recognized by {\em measure many 1-way quantum finite automata (MM-QFA)} (or,{\em enhanced 1-way quantum finite automata(EQFA)}) $\mathcal{A}$ with strict…

Formal Languages and Automata Theory · Computer Science 2023-06-06 Tianrong Lin

We derive lower bounds for tradeoffs between the communication C and space S for communicating circuits. The first such bound applies to quantum circuits. If for any function f with image Z the multicolor discrepancy of the communication…

Quantum Physics · Physics 2016-09-08 Hartmut Klauck