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Related papers: Message complexity for unary multiautomata systems

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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 a variant of the classical membership problem in automata theory, which consists of deciding whether a given input word is accepted by a given automaton. We do so under a different perspective, that is, we consider a dynamic…

Formal Languages and Automata Theory · Computer Science 2020-02-18 Alejandro Grez , Filip Mazowiecki , Michał Pilipczuk , Gabriele Puppis , Cristian Riveros

Multiset automata are a class of automata for which the symbols can be read in any order and obtain the same result. We investigate weighted multiset automata and show how to construct them from weighted regular expressions. We present…

Formal Languages and Automata Theory · Computer Science 2018-06-12 Justin DeBenedetto , David Chiang

A typewriter automaton is a special variant of a two-dimensional automaton that receives two-dimensional words as input and is only capable of moving its input head through its input word in three directions: downward, leftward, and…

Formal Languages and Automata Theory · Computer Science 2022-07-21 Taylor J. Smith

It is known that 2-state binary and 3-state unary probabilistic finite automata and 2-state unary quantum finite automata recognize uncountably many languages with cutpoints. These results have been obtained by associating each recognized…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Aleksejs Naumovs , Maksims Dimitrijevs , Abuzer Yakaryılmaz

This paper summarizes the fundamental expressiveness, closure, and decidability properties of various finite-state automata classes with multiple input tapes. It also includes an original algorithm for the intersection of one-way…

Formal Languages and Automata Theory · Computer Science 2013-12-02 Carlo A. Furia

We study the sweep complexity of DFA in one-way jumping mode answering several questions posed earlier. This measure is the number of times in the worst case that such machines have to return to the beginning of their input after having…

Formal Languages and Automata Theory · Computer Science 2023-08-15 Szilárd Zsolt Fazekas , Robert Mercaş

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Benedek Nagy , Walaa Yasin

We study cellular automata with respect to a new communication complexity problem: each of two players know half of some finite word, and must be able to tell whether the state of the central cell will follow a given evolution, by…

Formal Languages and Automata Theory · Computer Science 2011-02-18 Eric Goles , Pierre Guillon , Ivan Rapaport

We revisit the problem of synchronisability for communicating automata, i.e., whether the language of send messages for an asynchronous system is the same as the language of send messages with a synchronous communication. The…

Formal Languages and Automata Theory · Computer Science 2024-11-25 Cinzia Di Giusto , Laetitia Laversa , Kirstin Peters

Imagine an assembly line where a box with a lid and liquid in it enters in some unknown orientation. The box should leave the line with the open lid facing upwards with the liquid still in it. To save costs there are no complex sensors or…

Formal Languages and Automata Theory · Computer Science 2022-03-18 Petra Wolf

A two-dimensional finite automaton has a read-only input head that moves in four directions on a finite array of cells labelled by symbols of the input alphabet. A three-way two-dimensional automaton is prohibited from making upward moves,…

Formal Languages and Automata Theory · Computer Science 2019-04-26 Taylor J. Smith , Kai Salomaa

We develop a general framework for the specification and implementation of systems whose executions are words, or partial orders, over an infinite alphabet. As a model of an implementation, we introduce class register automata, a one-way…

Formal Languages and Automata Theory · Computer Science 2012-01-10 Benedikt Bollig

We investigate the decidability of the emptiness problem for three classes of distributed automata. These devices operate on finite directed graphs, acting as networks of identical finite-state machines that communicate in an infinite…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Antti Kuusisto , Fabian Reiter

Automaton models are often seen as interpretable models. Interpretability itself is not well defined: it remains unclear what interpretability means without first explicitly specifying objectives or desired attributes. In this paper, we…

Machine Learning · Statistics 2016-11-28 Christian Albert Hammerschmidt , Sicco Verwer , Qin Lin , Radu State

The projected language of a general deterministic automaton with $n$ states is recognizable by a deterministic automaton with $2^{n-1} + 2^{n-m} - 1$ states, where $m$ denotes the number of states incident to unobservable non-loop…

Formal Languages and Automata Theory · Computer Science 2021-08-17 Stefan Hoffmann

In (Csuhaj-Varju et. al. 2000) Parallel Communicating Systems of Pushdown Automata (PCPA) were introduced and shown to be able to simulate nondeterministic one-way multi-head pushdown automata in returning mode, even if communication is…

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

We introduce the model of communicating timed automata (CTA) that extends the classical models of finite-state processes communicating through FIFO perfect channels and timed automata, in the sense that the finite-state processes are…

Formal Languages and Automata Theory · Computer Science 2018-03-20 Parosh Aziz Abdulla , Mohamed Faouzi Atig , S. Krishna

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

When a system sends messages through a lossy channel, then the language encoding all sequences of messages can be abstracted by its downward closure, i.e. the set of all (not necessarily contiguous) subwords. This is useful because even if…

Formal Languages and Automata Theory · Computer Science 2023-08-02 Ashwani Anand , Georg Zetzsche