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In this paper, we first study the conversion of weighted two-way automata to one-way automata. We show that this conversion preserves the unambiguity but does not preserve the determinism. Yet, we prove that the conversion of an unambiguous…

形式语言与自动机理论 · 计算机科学 2014-05-23 Vincent Carnino , Sylvain Lombardy

Promise problems were mainly studied in quantum automata theory. Here we focus on state complexity of classical automata for promise problems. First, it was known that there is a family of unary promise problems solvable by quantum automata…

形式语言与自动机理论 · 计算机科学 2014-10-17 Viliam Geffert , Abuzer Yakaryilmaz

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.…

形式语言与自动机理论 · 计算机科学 2015-08-17 Florian Lorber , Amnon Rosenmann , Dejan Nickovic , Bernhard Aichernig

There are languages A such that there is a Pushdown Automata (PDA) that recognizes A which is much smaller than any Deterministic Pushdown Automata (DPDA) that recognizes A. There are languages A such that there is a Linear Bounded Automata…

形式语言与自动机理论 · 计算机科学 2015-07-17 Richard Beigel , William Gasarch

The state complexity of a finite(-state) automaton intuitively measures the size of the description of the automaton. Sakoda and Sipser [STOC 1972, pp. 275--286] were concerned with nonuniform families of finite automata and they discussed…

形式语言与自动机理论 · 计算机科学 2024-04-16 Tomoyuki Yamakami

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.…

形式语言与自动机理论 · 计算机科学 2025-02-05 Arnaud Carayol , Philippe Duchon , Florent Koechlin , Cyril Nicaud

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…

形式语言与自动机理论 · 计算机科学 2023-09-07 Benedek Nagy

The simulation of deterministic pushdown automata defined over a one-letter alphabet by finite state automata is investigated from a descriptional complexity point of view. We show that each unary deterministic pushdown automaton of size s…

形式语言与自动机理论 · 计算机科学 2009-05-11 Giovanni Pighizzini

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…

形式语言与自动机理论 · 计算机科学 2014-05-23 Henning Bordihn , Martin Kutrib , Andreas Malcher

Here we propose an extension of the (deterministic and the nondeterministic) finite automaton with translucent letters (DFAwtl and NFAwtl), which lies between these automata and their non-returning variants (that is, the nr-DFAwtl and the…

形式语言与自动机理论 · 计算机科学 2024-09-12 František Mráz , Friedrich Otto

The decidability of determining equivalence of deterministic multitape automata (or transducers) was a longstanding open problem until it was resolved by Harju and Karhum\"{a}ki in the early 1990s. Their proof of decidability yields a co_NP…

形式语言与自动机理论 · 计算机科学 2013-05-06 James Worrell

We define a model of advised computation by finite automata where the advice is provided on a separate tape. We consider several variants of the model where the advice is deterministic or randomized, the input tape head is allowed…

形式语言与自动机理论 · 计算机科学 2016-03-27 Uğur Küçük , A. C. Cem Say , Abuzer Yakaryılmaz

Cellular automata are one-dimensional arrays of interconnected interacting finite automata. We investigate one of the weakest classes, the real-time one-way cellular automata, and impose an additional restriction on their inter-cell…

形式语言与自动机理论 · 计算机科学 2009-07-30 Martin Kutrib , Andreas Malcher

We consider how changes in transfinite machine architecture can sometimes alter substantially their capabilities. We approach the subject by answering three open problems touching on: firstly differing halting time considerations for…

逻辑 · 数学 2020-12-16 Philip Welch

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 $…

计算复杂性 · 计算机科学 2014-01-29 Abuzer Yakaryilmaz , A. C. Cem Say

Multiway Turing machines (also known as nondeterministic Turing machines or NDTMs) with explicit, simple rules are studied. Even very simple rules are found to generate complex behavior, characterized by complex multiway graphs, that can be…

计算机科学中的逻辑 · 计算机科学 2021-03-09 Stephen Wolfram

Lately, there have been intensive studies on strengths and limitations of nonuniform families of promise decision problems solvable by various types of polynomial-size finite automata families, where ``polynomial-size'' refers to the…

计算复杂性 · 计算机科学 2025-11-19 Tomoyuki Yamakami

A new discontinuous model of computation called one-way jumping finite automata was defined by H. Chigahara et. al. This model was a restricted version of the model jumping finite automata. These automata read an input symbol-by-symbol and…

形式语言与自动机理论 · 计算机科学 2021-06-08 Ujjwal Kumar Mishra , Kalpana Mahalingam , Rama Raghavan

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…

形式语言与自动机理论 · 计算机科学 2011-07-21 Tomoyuki Yamakami

We introduce layered automata, a subclass of alternating parity automata that generalises deterministic automata. Assuming a consistency property, these automata are history deterministic and 0-1 probabilistic. We show that every…

形式语言与自动机理论 · 计算机科学 2026-01-23 Antonio Casares , Christof Löding , Igor Walukiewicz