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A variant of Turing machines is introduced where the tape is replaced by a single tree which can be manipulated in a style akin to purely functional programming. This yields two benefits: first, the extra structure on the tape can be…

Logic in Computer Science · Computer Science 2015-07-17 Arnaud Spiwack

The store language of an automaton is the set of store configurations (state and store contents, but not the input) that can appear as an intermediate step in an accepting computation. A one-way nondeterministic finite-visit Turing machine…

Formal Languages and Automata Theory · Computer Science 2025-09-04 Noah Friesen , Oscar H. Ibarra , Jozef Jirásek , Ian McQuillan

We consider the structures given by repeatedly generalising the definition of finite state automata by symmetry considerations, and constructing analogues of transition monoids at each step. This approach first gives us non-deterministic…

Logic in Computer Science · Computer Science 2007-05-23 Peter M. Hines

In this article we consider two-way two-tape (alternating) automata accepting pairs of words and we study some closure properties of this model. Our main result is that such alternating automata are not closed under complementation for…

Formal Languages and Automata Theory · Computer Science 2017-10-03 Olivier Carton , Léo Exibard , Olivier Serre

In various models of one-way pushdown automata, the explicit use of two designated endmarkers on a read-once input tape has proven to be extremely useful for making a conscious, final decision on the acceptance/rejection of each input word…

Formal Languages and Automata Theory · Computer Science 2025-11-11 Tomoyuki Yamakami

We show that deterministic finite automata equipped with $k$ two-way heads are equivalent to deterministic machines with a single two-way input head and $k-1$ linearly bounded counters if the accepted language is strictly bounded, i.e., a…

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

Probabilistic B\"uchi Automata (PBA) are randomized, finite state automata that process input strings of infinite length. Based on the threshold chosen for the acceptance probability, different classes of languages can be defined. In this…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

The class of Boolean combinations of tree languages recognized by deterministic top-down tree automata (also known as deterministic root-to-frontier automata) is studied. The problem of determining for a given regular tree language whether…

Formal Languages and Automata Theory · Computer Science 2024-01-15 Christof Löding , Wolfgang Thomas

Let A be a finite alphabet and let L contained in (A*)^n be an n-variable language over A. We say that L is regular if it is the language accepted by a synchronous n-tape finite state automaton, it is quasi-regular if it is accepted by an…

Logic · Mathematics 2010-10-18 Maria Monks

Recently, an infinite hierarchy of languages accepted by stateless deterministic pushdown automata has been established based on the number of pushdown symbols. However, the witness language for the n-th level of the hierarchy is over an…

Formal Languages and Automata Theory · Computer Science 2012-08-27 Tomáš Masopust

We study structural restrictions on biautomata such as, e.g., acyclicity, permutation-freeness, strongly permutation-freeness, and orderability, to mention a few. We compare the obtained language families with those induced by deterministic…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Markus Holzer , Sebastian Jakobi

We discuss the power and limitation of various "advice," when it is given particularly to weak computational models of one-tape linear-time Turing machines and one-way finite (state) automata. Of various advice types, we consider…

Formal Languages and Automata Theory · Computer Science 2011-07-21 Tomoyuki Yamakami

In this paper we consider the class of lambda-nondeterministic linear automata as a model of the class of linear languages. As usual in other automata models, lambda-moves do not increase the acceptance power. The main contribution of this…

Formal Languages and Automata Theory · Computer Science 2016-12-01 Benjamín Bedregal

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

Finite-turn pushdown automata (PDA) are investigated concerning their descriptional complexity. It is known that they accept exactly the class of ultralinear context-free languages. Furthermore, the increase in size when converting…

Formal Languages and Automata Theory · Computer Science 2009-05-08 Andreas Malcher , Giovanni Pighizzini

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

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

We show that a Turing machine with two single-head one-dimensional tapes cannot recognize the set {x2x'| x \in {0,1}^* and x' is a prefix of x} in real time, although it can do so with three tapes, two two-dimensional tapes, or one two-head…

Computational Complexity · Computer Science 2007-05-23 Tao Jiang , Joel Seiferas , Paul Vitanyi

We present a Myhill-Nerode style characterization for languages recognized by one-clock deterministic timed automata (1-DTA). Although there is only one clock, distinct automata may reset it differently along the same word. This adds a…

Formal Languages and Automata Theory · Computer Science 2026-04-15 Kyveli Doveri , Pierre Ganty , B. Srivathsan

We prove the following facts about the language recognition power of quantum Turing machines (QTMs) in the unbounded error setting: QTMs are strictly more powerful than probabilistic Turing machines for any common space bound $ s $…

Computational Complexity · Computer Science 2014-01-29 Abuzer Yakaryilmaz , A. C. Cem Say