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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 show that the minimization of visibly pushdown automata is NP-complete. This result is obtained by introducing immersions, that recognize multiple languages (over a usual, non-visible alphabet) using a common deterministic transition…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Olivier Gauwin , Anca Muscholl , Michael Raskin

We introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

Formal Languages and Automata Theory · Computer Science 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini

It is well-known that one-tape Turing machines working in linear time are no more powerful than finite automata, namely they recognize exactly the class of regular languages. We prove that it is not decidable if a one-tape machine works in…

Formal Languages and Automata Theory · Computer Science 2021-03-11 Bruno Guillon , Giovanni Pighizzini , Luca Prigioniero , Daniel Průša

We prove decidability results on the existence of constant subsequences of uniformly recurrent morphic sequences along arithmetic progressions. We use spectral properties of the subshifts they generate to give a first algorithm deciding…

Dynamical Systems · Mathematics 2018-11-19 Fabien Durand , Valérie Goyheneche

In this paper we introduce a variant of pushdown dimension called bounded pushdown (BPD) dimension, that measures the density of information contained in a sequence, relative to a BPD automata, i.e. a finite state machine equipped with an…

Computational Complexity · Computer Science 2007-07-13 Pilar Albert , Elvira Mayordomo , Philippe Moser

Visibly pushdown transducers form a subclass of pushdown transducers that (strictly) extends finite state transducers with a stack. Like visibly pushdown automata, the input symbols determine the stack operations. In this paper, we prove…

Formal Languages and Automata Theory · Computer Science 2015-05-18 Emmanuel Filiot , Jean-François Raskin , Pierre-Alain Reynier , Frédéric Servais , Jean-Marc Talbot

We study the expressiveness and succinctness of history-deterministic pushdown automata (HD-PDA) over finite words, that is, pushdown automata whose nondeterminism can be resolved based on the run constructed so far, but independently of…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Shibashis Guha , Ismaël Jecker , Karoliina Lehtinen , Martin Zimmermann

Deterministic one-way time-bounded multi-counter automata are studied with respect to their ability to perform reversible computations, which means that the automata are also backward deterministic and, thus, are able to uniquely step the…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Martin Kutrib , Andreas Malcher

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

Time series account for a large proportion of the data stored in financial, medical and scientific databases. The efficient storage of time series is important in practical applications. In this paper, we propose a novel compression scheme…

Neural and Evolutionary Computing · Computer Science 2017-08-17 Daniel Hsu

The main aim of the paper is to give a short self-contained proof of the decidability of language equivalence for deterministic pushdown automata, which is the famous problem solved by G. Senizergues, for which C. Stirling has derived a…

Formal Languages and Automata Theory · Computer Science 2011-03-10 Petr Jancar

This paper introduces a class of objects called decision rules that map infinite sequences of alternatives to a decision space. These objects can be used to model situations where a decision maker encounters alternatives in a sequence such…

Theoretical Economics · Economics 2022-09-12 Bhavook Bhardwaj , Siddharth Chatterjee

Cellular automata are investigated towards their ability to compute transductions, that is, to transform inputs into outputs. The families of transductions computed are classified with regard to the time allowed to process the input and to…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Martin Kutrib , Andreas Malcher

Automata operating on strings of nested brackets, known as input-driven pushdown automata, and as visibly pushdown automata, have been studied since the 1980s. They were extended to the case of infinite strings by Alur and Madhusudan…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Alexander Okhotin , Victor L. Selivanov

A finite automaton is called bideterministic if it is both deterministic and codeterministic -- that is, if it is deterministic and its transpose is deterministic as well. The study of such automata in a weighted setting is initiated. All…

Formal Languages and Automata Theory · Computer Science 2023-10-02 Peter Kostolányi

The number of states and stack symbols needed to determinize nondeterministic input-driven pushdown automata (NIDPDA) working over a fixed alphabet is determined precisely. It is proved that in the worst case exactly 2^{n^2} states are…

Formal Languages and Automata Theory · Computer Science 2024-04-17 Olga Martynova

We prove that for a given deterministic top-down transducer with look-ahead it is decidable whether or not its translation is definable (1)~by a linear top-down tree transducer or (2)~by a tree homomorphism. We present algorithms that…

Formal Languages and Automata Theory · Computer Science 2021-06-01 Sebastian Maneth , Helmut Seidl , Martin Vu

We report some further developments regarding the language theory of higher-dimensional automata (HDAs). Regular languages of HDAs are sets of finite interval partially ordered multisets (pomsets) with interfaces. We show a pumping lemma…

Formal Languages and Automata Theory · Computer Science 2024-07-19 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Krzysztof Ziemiański

Discounting the influence of future events is a key paradigm in economics and it is widely used in computer-science models, such as games, Markov decision processes (MDPs), reinforcement learning, and automata. While a single game or MDP…

Logic in Computer Science · Computer Science 2025-06-11 Udi Boker , Guy Hefetz