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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 extend the L* algorithm to learn bimonoids recognising pomset languages. We then identify a class of pomset automata that accepts precisely the class of pomset languages recognised by bimonoids and show how to convert between bimonoids…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Gerco van Heerdt , Tobias Kappé , Jurriaan Rot , Alexandra Silva

The store language of a machine of some arbitrary type is the set of all store configurations (state plus store contents but not the input) that can appear in an accepting computation. New algorithms and characterizations of store languages…

Formal Languages and Automata Theory · Computer Science 2020-10-02 Oscar H. Ibarra , Ian McQuillan

We characterize regular string transductions as programs in a linear $\lambda$-calculus with additives. One direction of this equivalence is proved by encoding copyless streaming string transducers (SSTs), which compute regular functions,…

Logic in Computer Science · Computer Science 2023-04-06 Lê Thành Dũng Nguyên , Camille Noûs , Cécilia Pradic

We investigate the monoid of transformations that are induced by sequences of writing to and reading from a queue storage. We describe this monoid by means of a confluent and terminating semi-Thue system and study some of its basic…

Formal Languages and Automata Theory · Computer Science 2014-04-23 Martin Huschenbett , Dietrich Kuske , Georg Zetzsche

Automaton learning is a domain in which the target system is inferred by the automaton learning algorithm in the form of an automaton, by synthesizing a finite number of inputs and their corresponding outputs. Automaton learning makes use…

Formal Languages and Automata Theory · Computer Science 2024-04-18 Farah Haneef

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Benedek Nagy , Walaa Yasin

Reversible weighted automata are introduced and considered in a specific setting where the weights are taken from a nontrivial locally finite commutative ring such as a finite field. It is shown that the supports of series realised by such…

Formal Languages and Automata Theory · Computer Science 2026-01-15 Peter Kostolányi , Andrej Ravinger

We study deterministic tree-walking-storage automata, which are finite-state devices equipped with a tree-like storage. These automata are generalized stack automata, where the linear stack storage is replaced by a non-linear tree-like…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Martin Kutrib , Uwe Meyer

An automaton is monotonic if its states can be arranged in a linear order that is preserved by the action of every letter. We prove that the problem of deciding whether a given automaton is monotonic is NP-complete. The same result is…

Formal Languages and Automata Theory · Computer Science 2015-08-11 Marek Szykuła

During the last decades, classical models in language theory have been extended by control mechanisms defined by monoids. We study which monoids cause the extensions of context-free grammars, finite automata, or finite state transducers to…

Formal Languages and Automata Theory · Computer Science 2011-03-18 Georg Zetzsche

Autonomous driving sensors generate an enormous amount of data. In this paper, we explore learned multimodal compression for autonomous driving, specifically targeted at 3D object detection. We focus on camera and LiDAR modalities and…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Hadi Hadizadeh , Ivan V. Bajić

This thesis studies the single-use restriction for register automata and transducers over infinite alphabets. The restriction requires that a read-access to a register should have the side effect of destroying its contents. This constraint…

Formal Languages and Automata Theory · Computer Science 2024-06-28 Rafał Stefański

The problem of characterizing which automatic sets of integers are stable is here solved. Given a positive integer $d$ and a subset $A\subseteq \mathbb{Z}$ whose set of representations base $d$ is recognized by a finite automaton, a…

Logic · Mathematics 2020-10-09 Christopher D. C. Hawthorne

We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept…

Formal Languages and Automata Theory · Computer Science 2017-08-01 Özlem Salehi , A. C. Cem Say , Flavio D'Alessandro

The automaton transformation of infinite words over alphabet $\mathbb F_p=\{0,1,\ldots,p-1\}$, where $p$ is a prime number, coincide with the continuous transformation (with respect to the $p$-adic metric) of a ring $\mathbb Z_p$ of…

Dynamical Systems · Mathematics 2018-04-03 Livat Tyapaev

Switches in real systems take many forms, such as impacts, electronic relays, mitosis, and the implementation of decisions or control strategies. To understand what is lost, and what can be retained, when we model a switch as an…

Dynamical Systems · Mathematics 2015-08-21 Mike R. Jeffrey

We use the notion of a partial action of a monoid to introduce a generalization of automata, which we call "a preautomaton". We study properties of preautomata and of languages recognized by preautomata.

Formal Languages and Automata Theory · Computer Science 2013-12-06 M. Dokuchaev , B. Novikov , G. Zholtkevych

Multiset automata are a class of automata for which the symbols can be read in any order and obtain the same result. We investigate weighted multiset automata and show how to construct them from weighted regular expressions. We present…

Formal Languages and Automata Theory · Computer Science 2018-06-12 Justin DeBenedetto , David Chiang

Finitely many two-way automata work independently and synchronously on a unary input. Some of their states are broadcasting, i.e., dispatched to all other automata. At each step of the computation, each automaton changes state and moves…

Logic in Computer Science · Computer Science 2024-08-20 Christian Choffrut