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Probabilistic deterministic finite automata (PDFA) are discrete event systems modeling conditional probabilities over languages: Given an already seen sequence of tokens they return the probability of tokens of interest to appear next.…

Formal Languages and Automata Theory · Computer Science 2024-07-01 Robert Baumgartner , Sicco Verwer

We introduce Merlin-Arthur (MA) automata where Merlin provides a certificate at the beginning of computation and it is scanned by Arthur before reading the input. We define Merlin-Arthur deterministic, probabilistic, and quantum finite…

Formal Languages and Automata Theory · Computer Science 2024-07-19 Abuzer Yakaryılmaz

One-way quantum finite automata together with classical states (1QFAC) proposed in [Journal of Computer and System Sciences 81(2) (2015) 359--375] is a new one-way quantum finite automata (1QFA) model that integrates quantum finite automata…

Quantum Physics · Physics 2021-12-09 Ligang Xiao , Daowen Qiu

Although various aspects of soft-constraint based norms have been explored, it is still challenging to understand preemption. Preemption is a situation where higher-level norms override lower-level norms when new information emerges. To…

Artificial Intelligence · Computer Science 2024-09-09 Wachara Fungwacharakorn , Kanae Tsushima , Hiroshi Hosobe , Hideaki Takeda , Ken Satoh

We consider the representational state complexity of unranked tree automata. The bottom-up computation of an unranked tree automaton may be either deterministic or nondeterministic, and further variants arise depending on whether the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Xiaoxue Piao , Kai Salomaa

Automatic Speech Recognition (ASR) for adults' speeches has made significant progress by employing deep neural network (DNN) models recently, but improvement in children's speech is still unsatisfactory due to children's speech's distinct…

Computation and Language · Computer Science 2024-06-27 Dancheng Liu , Jinjun Xiong

Minimizing the size of finite automata is a fundamental problem in theoretical computer science. Beyond standard minimization, further reductions can be achieved by decomposing an automaton into smaller components whose languages combine…

Formal Languages and Automata Theory · Computer Science 2026-04-29 Mathias Berry , Pierre-Cyrille Héam , Ismaël Jecker

We introduce a new measure on regular languages: their nondeterministic syntactic complexity. It is the least degree of any extension of the `canonical boolean representation' of the syntactic monoid. Equivalently, it is the least number of…

Formal Languages and Automata Theory · Computer Science 2021-01-12 Robert Myers , Stefan Milius , Henning Urbat

Multi-letter {\it quantum finite automata} (QFAs) were a quantum variant of classical {\it one-way multi-head finite automata} (J. Hromkovi\v{c}, Acta Informatica 19 (1983) 377-384), and it has been shown that this new one-way QFAs…

Formal Languages and Automata Theory · Computer Science 2010-11-01 Daowen Qiu , Xiangfu Zou , Lvzhou Li , Paulo Mateus

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. It was conjectured that in each completely…

Formal Languages and Automata Theory · Computer Science 2024-03-20 David Casas , Mikhail V. Volkov

We introduce and investigate forgetting 1-limited automata, which are single-tape Turing machines that, when visiting a cell for the first time, replace the input symbol in it by a fixed symbol, so forgetting the original contents. These…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Giovanni Pighizzini , Luca Prigioniero

A word w is called synchronizing (recurrent, reset, directed) word of a deterministic finite automaton (DFA) if w sends all states of the automaton on a unique state. Jan Cerny had found in 1964 a sequence of n-state complete DFA with…

Discrete Mathematics · Computer Science 2007-09-11 A. N. Trahtman

This paper provides a coalgebraic approach to the language semantics of two types of non-deterministic automata over nominal sets: non-deterministic orbit-finite automata (NOFAs) and regular nominal non-deterministic automata (RNNAs), which…

Logic in Computer Science · Computer Science 2022-03-30 Florian Frank , Stefan Milius , Henning Urbat

A word w of letters on edges of underlying graph Gamma of deterministic finite automaton (DFA) is called the synchronizing word if w sends all states of the automaton to a unique state. J. Cerny discovered in 1964 a sequence of n-state…

Formal Languages and Automata Theory · Computer Science 2021-07-20 A. N. Trahtman

Many preference elicitation algorithms consider preference over propositional logic formulas or items with different attributes. In sequential decision making, a user's preference can be a preorder over possible outcomes, each of which is a…

Artificial Intelligence · Computer Science 2025-05-26 Hazhar Rahmani , Jie Fu

We present a few results and several open problems concerning complete deterministic finite automata in which every non-empty subset of the state set occurs as the image of the whole state set under the action of a suitable input word.

Formal Languages and Automata Theory · Computer Science 2016-07-05 Evgenija Bondar , Mikhail Volkov

Understanding recurrent networks through rule extraction has a long history. This has taken on new interests due to the need for interpreting or verifying neural networks. One basic form for representing stateful rules is deterministic…

Machine Learning · Computer Science 2018-11-16 Qinglong Wang , Kaixuan Zhang , Alexander G. Ororbia , Xinyu Xing , Xue Liu , C. Lee Giles

We introduce a new complexity measure for finite strings using probabilistic finite-state automata (PFAs), in the same spirit as existing notions employing DFAs and NFAs, and explore its properties. The PFA complexity $A_P(x)$ is the least…

Formal Languages and Automata Theory · Computer Science 2024-06-04 Kenneth Gill

This paper extends the work of Laurikari and Kuklewicz on tagged deterministic finite automata (TDFA) in the context of submatch extraction in regular expressions. The main goal of this work is application of TDFA to lexer generators that…

Formal Languages and Automata Theory · Computer Science 2019-07-23 Ulya Trofimovich

The state complexity of basic operations on finite languages (considering complete DFAs) has been in studied the literature. In this paper we study the incomplete (deterministic) state and transition complexity on finite languages of…

Formal Languages and Automata Theory · Computer Science 2013-02-05 Eva Maia , Nelma Moreira , Rogério Reis