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The linear deterministic model has been used recently to get a first order understanding of many wireless communication network problems. In many of these cases, it has been pointed out that the capacity regions of the network and its…

Information Theory · Computer Science 2009-07-10 Adnan Raja , Vinod M. Prabhakaran , Pramod Viswanath

We study counting-regular languages -- these are languages $L$ for which there is a regular language $L'$ such that the number of strings of length $n$ in $L$ and $L'$ are the same for all $n$. We show that the languages accepted by…

Formal Languages and Automata Theory · Computer Science 2019-03-11 Oscar H. Ibarra , Ian McQuillan , Bala Ravikumar

In rule-based systems, goal-oriented computations correspond naturally to the possible ways that an observation may be explained. In some applications, we need to compute explanations for a series of observations with the same domain. The…

Artificial Intelligence · Computer Science 2007-05-23 Fangzhen Lin , Jia-Huai You

Finitely many two-way automata work independently and synchronously on a unary input. Some of their states are broadcasting, i.e., dispatched to all other automata. At each step of the computation, each automaton changes state and moves…

Logic in Computer Science · Computer Science 2024-08-20 Christian Choffrut

Communicating finite-state machines are a fundamental, well-studied model of finite-state processes that communicate via unbounded first-in first-out channels. We show that they are expressively equivalent to existential MSO logic with two…

Logic in Computer Science · Computer Science 2017-09-29 Benedikt Bollig , Marie Fortin , Paul Gastin

In automata theory, while determinisation provides a standard route to solving many common problems in automata theory, some weak forms of nondeterminism can be dealt with in some problems without costly determinisation. For example, the…

Formal Languages and Automata Theory · Computer Science 2026-05-29 Thomas A. Henzinger , Keya Prakash , K. S. Thejaswini

The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known. In this paper, we provide an underapproximation for the general model by considering only runs that are…

Logic in Computer Science · Computer Science 2023-06-22 Benedikt Bollig , Alain Finkel , Amrita Suresh

In this work, we incorporate reversibility into structured communication-based programming, to allow parties of a session to automatically undo, in a rollback fashion, the effect of previously executed interactions. This permits taking…

Programming Languages · Computer Science 2014-06-16 Francesco Tiezzi , Nobuko Yoshida

Deterministic two-way transducers capture the class of regular functions. The efficiency of composing two-way transducers has a direct implication in algorithmic problems related to reactive synthesis, where transformation specifications…

Formal Languages and Automata Theory · Computer Science 2024-07-01 Luc Dartois , Paul Gastin , Loïc Germerie Guizouarn , R. Govind , Shankaranarayanan Krishna

We explore language semantics for automata combining probabilistic and nondeterministic behavior. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that…

Formal Languages and Automata Theory · Computer Science 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva

The emptiness and containment problems for probabilistic automata are natural quantitative generalisations of the classical language emptiness and inclusion problems for Boolean automata. It is well known that both problems are undecidable.…

Formal Languages and Automata Theory · Computer Science 2020-03-31 Laure Daviaud , Marcin Jurdziński , Ranko Lazić , Filip Mazowiecki , Guillermo A. Pérez , James Worrell

Reversible weighted automata are introduced and considered in a specific setting where the weights are taken from a nontrivial locally finite commutative ring such as a finite field. It is shown that the supports of series realised by such…

Formal Languages and Automata Theory · Computer Science 2026-01-15 Peter Kostolányi , Andrej Ravinger

One-to-one reversible automata are introduced. Their applicability to a modelling of the quantum mechanical measurement process is discussed.

Quantum Physics · Physics 2009-04-16 Karl Svozil

A three-way (resp., two-way) two-dimensional automaton has a read-only input head that moves in three (resp., two) directions on a finite array of cells labelled by symbols of the input alphabet. Restricting the input head movement of a…

Formal Languages and Automata Theory · Computer Science 2021-05-05 Taylor J. Smith , Kai Salomaa

We introduce and study the repetitive variants of the deterministic and the nondeterministic finite automaton with translucent words (DFAwtw and NFAwtw). On seeing the right sentinel, a repetitive NFAwtw need not halt immediately, accepting…

Formal Languages and Automata Theory · Computer Science 2025-07-22 František Mráz , Friedrich Otto

Deterministic and nondeterministic finite automata with translucent letters were introduced by Nagy and Otto more than a decade ago as Cooperative Distributed systems of a kind of stateless restarting automata with window size one. These…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Benedek Nagy

A major hurdle to the deployment of quantum linear systems algorithms and recent quantum simulation algorithms lies in the difficulty to find inexpensive reversible circuits for arithmetic using existing hand coded methods. Motivated by…

Quantum Physics · Physics 2016-12-05 Mathias Soeken , Martin Roetteler , Nathan Wiebe , Giovanni De Micheli

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

Formal Languages and Automata Theory · Computer Science 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

To study relationship between quantum finite automata and probabilistic finite automata, we introduce a notion of probabilistic reversible automata (PRA, or doubly stochastic automata). We find that there is a strong relationship between…

Computational Complexity · Computer Science 2011-06-14 Marats Golovkins , Maksim Kravtsev

Parallel communicating systems of pushdown automata (PCPA) were introduced in (Csuhaj-Varj{\'u} et. al. 2000) and in their centralized variants shown to be able to simulate nondeterministic one-way multi-head pushdown automata. A claimed…

Formal Languages and Automata Theory · Computer Science 2014-08-07 Holger Petersen