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Human body motions can be captured as a high-dimensional continuous signal using motion sensor technologies. The resulting data can be surprisingly rich in information, even when captured from persons with limited mobility. In this work, we…

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

Deterministic timed automata are strictly less expressive than their non-deterministic counterparts, which are again less expressive than those with silent transitions. As a consequence, timed automata are in general non-determinizable.…

Formal Languages and Automata Theory · Computer Science 2015-08-17 Florian Lorber , Amnon Rosenmann , Dejan Nickovic , Bernhard Aichernig

We examine different generalizations of checking stack automata by allowing multiple input heads and multiple stacks, and characterize their computing power in terms of two-way multi-head finite automata and space-bounded Turing machines.…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Ian McQuillan

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

The theory of higher-dimensional automata (HDAs) has seen rapid progress in recent years, and first applications, notably to Petri net analysis, are starting to show. It has, however, emerged that HDAs themselves often are too strict a…

Formal Languages and Automata Theory · Computer Science 2026-01-27 Hugo Bazille , Jérémy Dubut , Uli Fahrenberg , Krzysztof Ziemiański

This paper deals with the size complexity of minimal {\it two-way quantum finite automata} (2qfa's) necessary for operations to perform on all inputs of each fixed length. Such a complexity measure, known as state complexity of operations,…

Discrete Mathematics · Computer Science 2008-07-04 Daowen Qiu

We introduce a new type of nonuniform two--way automaton that can use a different transition function for each tape square. We also enhance this model by allowing to shuffle the given input at the beginning of the computation. Then we…

Formal Languages and Automata Theory · Computer Science 2018-02-01 Kamil Khadiev , Rishat Ibrahimov , Abuzer Yakary

Traditionally, finite automata theory has been used as a framework for the representation of possibly infinite sets of strings. In this work, we introduce the notion of second-order finite automata, a formalism that combines finite automata…

Formal Languages and Automata Theory · Computer Science 2021-08-31 Alexsander Andrade de Melo , Mateus de Oliveira Oliveira

Systems of deterministic finite automata communicating by sending their states upon request are investigated, when the amount of communication is restricted. The computational power and decidability properties are studied for the case of…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Henning Bordihn , Martin Kutrib , Andreas Malcher

We study the relation between the standard two-way automata and more powerful devices, namely, two-way finite automata with an additional "pebble" movable along the input tape. Similarly as in the case of the classical two-way machines, it…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Viliam Geffert , Lubomíra Ištoňová

Extensions to finite-state automata on strings, such as multi-head automata or multi-counter automata, have been successfully used to encode many infinite-state non-regular verification problems. In this paper, we consider a generalization…

Formal Languages and Automata Theory · Computer Science 2015-09-25 Rayna Dimitrova , Rupak Majumdar

We introduce a model of one-way language acceptors (a variant of a checking stack automaton) and show the following decidability properties: (1) The deterministic version has a decidable membership problem but has an undecidable emptiness…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

There are various types of disability egress in world like blindness, deafness, and Physical disabilities. It is quite difficult to deal with people with disability. Learning disability (LD) is types of disability totally different from…

Computers and Society · Computer Science 2013-10-22 Syed Asif Ali , Safeeullah Soomro , Abdul Ghafoor Memon , Abdul Baqi

Every language recognized by a non-deterministic finite automaton can be recognized by a deterministic automaton, at the cost of a potential increase of the number of states, which in the worst case can go from $n$ states to $2^n$ states.…

Formal Languages and Automata Theory · Computer Science 2025-02-05 Arnaud Carayol , Philippe Duchon , Florent Koechlin , Cyril Nicaud

Algorithms which learn environments represented by automata in the past have had complexity scaling with the number of states in the automaton, which can be exponentially large even for automata recognizing regular expressions with a small…

Formal Languages and Automata Theory · Computer Science 2024-05-13 Ali Cataltepe , Vanessa Kosoy

This paper studies complexity of recognition of classes of bounded configurations by a generalization of conventional cellular automata (CA) -- finite dynamic cellular automata (FDCA). Inspired by the CA-based models of biological and…

Computational Complexity · Computer Science 2007-05-23 Maxim Makatchev

Jumping automata are finite automata that read their input in a non-consecutive manner, disregarding the order of the letters in the word. We introduce and study jumping automata over infinite words. Unlike the setting of finite words,…

Formal Languages and Automata Theory · Computer Science 2023-04-05 Shaull Almagor , Omer Yizhaq

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

We present a study on lookahead hierarchies for restarting automata with auxiliary symbols and small lookahead. In particular, we show that there are just two different classes of languages recognised RRWW automata, through the restriction…

Formal Languages and Automata Theory · Computer Science 2018-07-12 Natalie Schluter