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Finite automata with weights in the max-plus semiring are considered. The main result is: it is decidable in an effective way whether a series that is recognized by a finitely ambiguous max-plus automaton is unambiguous, or is sequential. A…

Computational Complexity · Computer Science 2007-09-27 Ines Klimann , Sylvain Lombardy , Jean Mairesse , Christophe Prieur

We introduce hypernode automata as a new specification formalism for hyperproperties of concurrent systems. They are finite automata with nodes labeled with hypernode logic formulas and transitions labeled with actions. A hypernode logic…

Formal Languages and Automata Theory · Computer Science 2024-01-09 Ezio Bartocci , Thomas A. Henzinger , Dejan Nickovic , Ana Oliveira da Costa

It is known that 2-state binary and 3-state unary probabilistic finite automata and 2-state unary quantum finite automata recognize uncountably many languages with cutpoints. These results have been obtained by associating each recognized…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Aleksejs Naumovs , Maksims Dimitrijevs , Abuzer Yakaryılmaz

We study the following decision problem: is the language recognized by a quantum finite automaton empty or non-empty? We prove that this problem is decidable or undecidable depending on whether recognition is defined by strict or non-strict…

Quantum Physics · Physics 2007-05-23 Vincent D. Blondel , Emmanuel Jeandel , Pascal Koiran , Natacha Portier

We consider the computational power of silent transitions in one-way automata with storage. Specifically, we ask which storage mechanisms admit a transformation of a given automaton into one that accepts the same language and reads at least…

Formal Languages and Automata Theory · Computer Science 2013-02-18 Georg Zetzsche

This paper describes an abstract machine for linguistic formalisms that are based on typed feature structures, such as HPSG. The core design of the abstract machine is given in detail, including the compilation process from a high-level…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez

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

Shuffle projection is motivated by the verification of safety properties of special parameterized systems. Basic definitions and properties, especially related to alphabetic homomorphisms, are presented. The relation between iterated…

Formal Languages and Automata Theory · Computer Science 2015-03-31 Peter Ochsenschläger , Roland Rieke

Engelfriet and Vereijken have shown that linear graph grammars based on hyperedge replacement generate graph languages that can be considered as interpretations of regular string languages over typed symbols. In this paper we show that…

Formal Languages and Automata Theory · Computer Science 2025-03-27 Frank Drewes , Berthold Hoffmann , Mark Minas

A register automaton is a finite automaton with finitely many registers ranging from an infinite alphabet. Since the valuations of registers are infinite, there are infinitely many configurations. We describe a technique to classify…

Formal Languages and Automata Theory · Computer Science 2014-02-28 Yu-Fang Chen , Bow-Yaw Wang , Di-De Yen

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

Formal Languages and Automata Theory · Computer Science 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

In early years, text classification is typically accomplished by feature-based machine learning models; recently, deep neural networks, as a powerful learning machine, make it possible to work with raw input as the text stands. However,…

Information Retrieval · Computer Science 2018-07-09 Xianggen Liu , Lili Mou , Haotian Cui , Zhengdong Lu , Sen Song

In the following pages we discuss infinite sequences defined on a finite alphabet, and more specially those which are generated by finite automata. We have divided our paper into seven parts which are more or less self-contained. Needless…

Formal Languages and Automata Theory · Computer Science 2022-12-20 Jean-Paul Allouche , Michel Mendès France

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

Unambiguous B\"uchi automata, i.e. B\"uchi automata allowing only one accepting run per word, are a useful restriction of B\"uchi automata that is well-suited for probabilistic model-checking. In this paper we propose a more permissive…

Formal Languages and Automata Theory · Computer Science 2018-09-26 Christof Löding , Anton Pirogov

This paper is devoted to finite state automata, regular expression matching, pattern recognition, and the exponential blow-up problem, which is the growing complexity of automata exponentially depending on regular expression length. This…

Formal Languages and Automata Theory · Computer Science 2023-08-22 Alexandra Bernadotte

We show that bounded-error affine finite automata recognize uncountably many (and so some non-Turing recognizable) languages when using real-valued transitions.

Formal Languages and Automata Theory · Computer Science 2022-12-23 Abuzer Yakaryılmaz

The paper discusses the problem of determinising finite-state automata containing large numbers of epsilon-moves. Experiments with finite-state approximations of natural language grammars often give rise to very large automata with a very…

cmp-lg · Computer Science 2007-05-23 Gertjan van Noord

We prove that endowing a real-time probabilistic or quantum computer with the ability of postselection increases its computational power. For this purpose, we provide a new model of finite automata with postselection, and compare it with…

Computational Complexity · Computer Science 2011-02-04 Abuzer Yakaryilmaz , A. C. Cem Say

The potential of the exact quantum information processing is an interesting, important and intriguing issue. For examples, it has been believed that quantum tools can provide significant, that is larger than polynomial, advantages in the…

Formal Languages and Automata Theory · Computer Science 2014-11-26 Jozef Gruska , Daowen Qiu , Shenggen Zheng