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A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

A $d$-limited automaton is a Turing machine that may rewrite each input cell at most~$d$ times. Hibbard (1967) showed that for every $d \geq 2$ such automata recognize all context-free languages and that deterministic $d$-limited automata…

Formal Languages and Automata Theory · Computer Science 2025-09-01 Alexander Rubtsov

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 give an active learning algorithm for deterministic one-counter automata (DOCAs) where the learner can ask the teacher membership and minimal equivalence queries. The algorithm called OL* learns a DOCA in time polynomial in the size of…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Prince Mathew , Vincent Penelle , A. V. Sreejith

This work studies the question of learning probabilistic deterministic automata from language models. For this purpose, it focuses on analyzing the relations defined on algebraic structures over strings by equivalences and similarities on…

Formal Languages and Automata Theory · Computer Science 2024-12-16 Matías Carrasco , Franz Mayr , Sergio Yovine

Families of DFAs (FDFAs) have recently been introduced as a new representation of $\omega$-regular languages. They target ultimately periodic words, with acceptors revolving around accepting some representation $u\cdot v^\omega$. Three…

Formal Languages and Automata Theory · Computer Science 2023-07-17 Yong Li , Sven Schewe , Qiyi Tang

Alternating timed automata (ATA) are an extension of timed automata, that are closed under complementation and hence amenable to logic-to-automata translations. Several timed logics, including Metric Temporal Logic (MTL), can be converted…

Logic in Computer Science · Computer Science 2026-01-07 Patricia Bouyer , B Srivathsan , Vaishnavi Vishwanath

Alternating timed automata on infinite words are considered. The main result is a characterization of acceptance conditions for which the emptiness problem for these automata is decidable. This result implies new decidability results for…

Logic in Computer Science · Computer Science 2015-07-01 Pawel Parys , Igor Walukiewicz

Automata over infinite words, also known as omega-automata, play a key role in the verification and synthesis of reactive systems. The spectrum of omega-automata is defined by two characteristics: the acceptance condition (e.g. B\"uchi or…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

We explore the notion of history-determinism in the context of timed automata (TA) over infinite timed words. History-deterministic (HD) automata are those in which nondeterminism can be resolved on the fly, based on the run constructed…

Formal Languages and Automata Theory · Computer Science 2024-10-16 Sougata Bose , Thomas A. Henzinger , Karoliina Lehtinen , Sven Schewe , Patrick Totzke

Timed Automata (TA) is de facto a standard modelling formalism to represent systems when the interest is the analysis of their behaviour as time progresses. This modelling formalism is mostly used for checking whether the behaviours of a…

Logic in Computer Science · Computer Science 2019-09-11 Claudio Menghi , Marcello Bersani , Matteo Rossi , Pierluigi San Pietro

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

The problem of inclusion of the language accepted by timed automaton $A$ (e.g., the implementation) in the language accepted by $B$ (e.g., the specification) is, in general, undecidable in the class of non-deterministic timed automata. In…

Formal Languages and Automata Theory · Computer Science 2019-09-24 Amnon Rosenmann

Keyphrase identification and classification is a Natural Language Processing and Information Retrieval task that involves extracting relevant groups of words from a given text related to the main topic. In this work, we focus on extracting…

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

Reversible forms of computations are often interesting from an energy efficiency point of view. When the computation device in question is an automaton, it is known that the minimal reversible automaton recognizing a given language is not…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Kitti Gelle , Szabolcs Iván

After an apparent hiatus of roughly 30 years, we revisit a seemingly neglected subject in the theory of (one-dimensional) cellular automata: sublinear-time computation. The model considered is that of ACAs, which are language acceptors…

Computational Complexity · Computer Science 2020-06-11 Augusto Modanese

A word is called a reset word for a deterministic finite automaton if it maps all the states of the automaton to a unique state. Deciding about the existence of a reset word of a given maximum length for a given automaton is known to be an…

Formal Languages and Automata Theory · Computer Science 2014-09-09 Vojtěch Vorel

We propose and evaluate a new technique for learning hybrid automata automatically by observing the runtime behavior of a dynamical system. Working from a sequence of continuous state values and predicates about the environment, CHARDA…

Artificial Intelligence · Computer Science 2017-07-12 Adam Summerville , Joseph Osborn , Michael Mateas

We are motivated by the following question: which data languages admit an active learning algorithm? This question was left open in previous work by the authors, and is particularly challenging for languages recognised by nondeterministic…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Joshua Moerman , Matteo Sammartino