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Grammatical inference consists in learning a language or a grammar from data. In this paper, we consider a number of models for inferring a non-deterministic finite automaton (NFA) with 3 sorts of states, that must accept some words, and…

Formal Languages and Automata Theory · Computer Science 2024-01-03 Tomasz Jastrząb , Frédéric Lardeux , Eric Monfroy

The focus of this paper is the analysis of real-time systems with recursion, through the development of good theoretical techniques which are implementable. Time is modeled using clock variables, and recursion using stacks. Our technique…

Formal Languages and Automata Theory · Computer Science 2017-07-11 S. Akshay , Paul Gastin , Shankara Narayanan Krishna , Ilias Sarkar

Nested words introduced by Alur and Madhusudan are used to capture structures with both linear and hierarchical order, e.g. XML documents, without losing valuable closure properties. Furthermore, Alur and Madhusudan introduced automata and…

Formal Languages and Automata Theory · Computer Science 2015-06-24 Manfred Droste , Stefan Dück

We study multi-task reinforcement learning (RL), a setting in which an agent learns a single, universal policy capable of generalising to arbitrary, possibly unseen tasks. We consider tasks specified as linear temporal logic (LTL) formulae,…

Artificial Intelligence · Computer Science 2026-02-09 Alessandro Abate , Giuseppe De Giacomo , Mathias Jackermeier , Jan Kretínský , Maximilian Prokop , Christoph Weinhuber

Linear temporal logic was introduced in order to reason about reactive systems. It is often considered with respect to infinite words, to specify the behaviour of long-running systems. One can consider more general models for linear time,…

Logic in Computer Science · Computer Science 2011-01-11 Julien Cristau

Motivated by the successful application of the theory of regular languages to formal verification of finite-state systems, there is a renewed interest in developing a theory of analyzable functions from strings to numerical values that can…

Formal Languages and Automata Theory · Computer Science 2012-02-23 Rajeev Alur , Loris D'Antoni , Jyotirmoy V. Deshmukh , Mukund Raghothaman , Yifei Yuan

Let L be an infinite regular language on a totally ordered alphabet (A,<). Feeding a finite deterministic automaton (with output) with the words of L enumerated lexicographically with respect to < leads to an infinite sequence over the…

Computational Complexity · Computer Science 2007-05-23 Michel Rigo

A condition characterizing the class of regular languages which have several nonisomorphic minimal reversible automata is presented. The condition concerns the structure of the minimum automaton accepting the language under consideration.…

Formal Languages and Automata Theory · Computer Science 2016-11-22 Giovanna J. Lavado , Giovanni Pighizzini , Luca Prigioniero

We propose a new symbolic trace semantics for register automata (extended finite state machines) which records both the sequence of input symbols that occur during a run as well as the constraints on input parameters that are imposed by…

Formal Languages and Automata Theory · Computer Science 2021-04-01 Frits Vaandrager , Abhisek Midya

Large language model agents increasingly depend on memory to sustain long horizon interaction, but existing frameworks remain limited. Most expose only a few basic primitives such as encode, retrieve, and delete, while higher order…

Computation and Language · Computer Science 2025-10-24 Yi Wang , Lihai Yang , Boyu Chen , Gongyi Zou , Kerun Xu , Bo Tang , Feiyu Xiong , Siheng Chen , Zhiyu Li

Active learning of timed languages is concerned with the inference of timed automata from observed timed words. The agent can query for the membership of words in the target language, or propose a candidate model and verify its equivalence…

Logic in Computer Science · Computer Science 2020-07-09 Léo Henry , Nicolas Markey , Thierry Jéron

Distributed automata are finite-state machines that operate on finite directed graphs. Acting as synchronous distributed algorithms, they use their input graph as a network in which identical processors communicate for a possibly infinite…

Formal Languages and Automata Theory · Computer Science 2018-12-21 Fabian Reiter

One clock alternating timed automata (OCATA) have been introduced as natural extension of (one clock) timed automata to express the semantics of MTL. In this paper, we consider the application of OCATA to the problems of model-checking and…

Logic in Computer Science · Computer Science 2014-06-18 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts

We study the satisfiability problem of symbolic tree automata and decompose it into the satisfiability problem of the existential first-order theory of the input characters and the existential monadic second-order theory of the indices of…

Formal Languages and Automata Theory · Computer Science 2023-11-10 Rodrigo Raya

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

We investigate the language classes recognized by group automata over matrix groups. We present a summary of the results obtained so far together with a number of new results. We look at the computational power of time-bounded group…

Formal Languages and Automata Theory · Computer Science 2016-09-05 Özlem Salehi , Flavio D'Alessandro , A. C. Cem Say

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

Cellular Automata and Lattice Gases · Physics 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

These are lecture notes on the algebraic approach to regular languages. The classical algebraic approach is for finite words; it uses semigroups instead of automata. However, the algebraic approach can be extended to structures beyond…

Formal Languages and Automata Theory · Computer Science 2020-08-27 Mikołaj Bojańczyk

Data trees are trees in which each node, besides carrying a label from a finite alphabet, also carries a data value from an infinite domain. They have been used as an abstraction model for reasoning tasks on {XML} and verification. However,…

Logic in Computer Science · Computer Science 2013-10-07 Tony Tan

We introduce the notion of multipass automata as a generalization of pushdown automata and study the classes of languages accepted by such machines. The class of languages accepted by deterministic multipass automata is exactly the Boolean…

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