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Multi-stack machines and Turing machines can simulate to each other. In this note, we give a succinct definition of multi-stack machines, and from this definition it is clearly seen that pushdown automata and deterministic finite automata…

Formal Languages and Automata Theory · Computer Science 2025-11-24 Daowen Qiu

This paper examines several measures of space complexity of variants of stack automata: non-erasing stack automata and checking stack automata. These measures capture the minimum stack size required to accept every word in the language of…

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

We cast new light on the existing models of one-way deterministic topological automata by introducing a fresh but general, convenient model, in which, as each input symbol is read, an interior system of an automaton, known as a…

Formal Languages and Automata Theory · Computer Science 2021-04-19 Tomoyuki Yamakami

The machinery of the human brain -- analog, probabilistic, embodied -- can be characterized computationally, but what machinery confers what computational powers? Any such system can be abstractly cast in terms of two computational…

Neurons and Cognition · Quantitative Biology 2020-08-14 Richard Granger

In automata theory, the quantum computation has been widely examined for finite state machines, known as quantum finite automata (QFAs), and less attention has been given to the QFAs augmented with counters or stacks. Moreover, to our…

Computational Complexity · Computer Science 2011-05-10 Abuzer Yakaryilmaz

Stochastic automata are a formal compositional model for concurrent stochastic timed systems, with general distributions and non-deterministic choices. Measures of interest are defined over schedulers that resolve the nondeterminism. In…

Logic in Computer Science · Computer Science 2017-10-17 Pedro R. D'Argenio , Marcus Gerhold , Arnd Hartmanns , Sean Sedwards

We study decidability of verification problems for timed automata extended with unbounded discrete data structures. More detailed, we extend timed automata with a pushdown stack. In this way, we obtain a strong model that may for instance…

Logic in Computer Science · Computer Science 2017-01-11 Karin Quaas

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

Modern distributed systems include a class of applications in which non-functional requirements are important. In particular, these applications include multimedia facilities where real time constraints are crucial to their correct…

Multimedia · Computer Science 2007-05-23 Jeremy Bryans , Howard Bowman , John Derrick

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

Cryptography and Security · Computer Science 2022-06-08 Johan Arcile , Étienne André

We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2017-08-01 Özlem Salehi , A. C. Cem Say , Flavio D'Alessandro

We study the computational power of real-time finite automata that have been augmented with a vector of dimension k, and programmed to multiply this vector at each step by an appropriately selected $k \times k$ matrix. Only one entry of the…

Formal Languages and Automata Theory · Computer Science 2016-09-09 Özlem Salehi , Abuzer Yakaryılmaz , A. C. Cem Say

Probabilistic model checking is a technique for formal automated reasoning about software or hardware systems that operate in the context of uncertainty or stochasticity. It builds upon ideas and techniques from a diverse range of fields,…

Logic in Computer Science · Computer Science 2023-08-08 David Parker

Model checking properties are often described by means of finite automata. Any particular such automaton divides the set of infinite trees into finitely many classes, according to which state has an infinite run. Building the full type…

Logic in Computer Science · Computer Science 2015-07-01 Klaus Aehlig

We present a theory of automata with boundary for designing, modelling and analysing distributed systems. Notions of behaviour, design and simulation appropriate to the theory are defined. The problem of model checking for deadlock…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 R. Gates , P. Katis , N. Sabadini , R. F. C. Walters

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

We introduce tree stack automata as a new class of automata with storage and identify a restricted form of tree stack automata that recognises exactly the multiple context-free languages.

Formal Languages and Automata Theory · Computer Science 2016-09-26 Tobias Denkinger

In this article, we study classes of multidimensional subshifts defined by multihead finite automata, in particular the hierarchy of classes of subshifts defined as the number of heads grows. The hierarchy collapses on the third level,…

Formal Languages and Automata Theory · Computer Science 2014-08-29 Ville Salo , Ilkka Törmä

Quantum computing is concerned with computer technology based on the principles of quantum mechanics, with operations performed at the quantum level. Quantum computational models make it possible to analyze the resources required for…

Formal Languages and Automata Theory · Computer Science 2019-01-24 Amandeep Singh Bhatia , Ajay Kumar

We realize constant-space quantum computation by measure-many two-way quantum finite automata and evaluate their language recognition power by analyzing patterns of their exotic behaviors and by exploring their structural properties. In…

Formal Languages and Automata Theory · Computer Science 2016-06-29 Tomoyuki Yamakami
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