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We investigate the decidability of the emptiness problem for three classes of distributed automata. These devices operate on finite directed graphs, acting as networks of identical finite-state machines that communicate in an infinite…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Antti Kuusisto , Fabian Reiter

In this paper, we consider the robot motion (or task) planning problem under some given time bounded high level specifications. We use metric interval temporal logic (MITL), a member of the temporal logic family, to represent the task…

Systems and Control · Computer Science 2016-03-30 Yuchen Zhou , Dipankar Maity , John S. Baras

Controlling hybrid systems is mostly very challenging due to the variety of dynamics these systems can exhibit. Inspired by the concept of differential flatness of nonlinear continuous systems and their inherent invertibility property, the…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Tobias Kleinert , Veit Hagenmeyer

The class of omega-regular languages provides a robust specification language in verification. Every omega-regular condition can be decomposed into a safety part and a liveness part. The liveness part ensures that something good happens…

Formal Languages and Automata Theory · Computer Science 2012-02-03 Krishnendu Chatterjee , Nathanaël Fijalkow

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction:…

Logic in Computer Science · Computer Science 2023-09-15 Jos C. M. Baeten , Bas Luttik

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

In the field of computational logic, two classes of finite automata are considered fundamental: deterministic and nondeterministic automata (DFAs and NFAs). In a more fine-grained approach three natural intermediate classes were introduced,…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Karolina Drabik , Anita Dürr , Fabian Frei , Filip Mazowiecki , Karol Węgrzycki

An automaton is history-deterministic if its nondeterminism can be resolved on the fly, only using the prefix of the word read so far. This mild form of nondeterminism has attracted particular attention for its applications in synthesis…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Udi Boker , Thomas A. Henzinger , Karoliina Lehtinen , Keya Prakash

In this paper we introduce and study Event-Clock Nested Automata (ECNA), a formalism that combines Event Clock Automata (ECA) and Visibly Pushdown Automata (VPA). ECNA allow to express real-time properties over non-regular patterns of…

Formal Languages and Automata Theory · Computer Science 2017-11-23 Laura Bozzelli , Aniello Murano , Adriano Peron

We introduce session automata, an automata model to process data words, i.e., words over an infinite alphabet. Session automata support the notion of fresh data values, which are well suited for modeling protocols in which sessions using…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Bollig , Peter Habermehl , Martin Leucker , Benjamin Monmege

We exhibit the construction of a deterministic automaton that, given k > 0, recognizes the (regular) language of k-differentiable words. Our approach follows a scheme of Crochemore et al. based on minimal forbidden words. We extend this…

Discrete Mathematics · Computer Science 2015-03-18 Jean-Marc Fédou , Gabriele Fici

As an alternative to visibly pushdown automata, we introduce visibly recursive automata (VRAs), composed of a set of classical automata that can call each other. VRAs are a strict extension of so-called systems of procedural automata, a…

Formal Languages and Automata Theory · Computer Science 2026-05-12 Kévin Dubrulle , Véronique Bruyère , Guillermo A. Pérez , Gaëtan Staquet

Cellular automata, CA for short are continuous maps defined on the set of configurations over a finite alphabet A that commutes with the shift. They are characterized by the existence of local function which determine by local behavior the…

Dynamical Systems · Mathematics 2019-04-30 Rezki Chemlal

Active automata learning in the framework of Angluin's $L^*$ algorithm has been applied to learning many kinds of automata models. In applications to timed models such as timed automata, the main challenge is to determine guards on the…

Formal Languages and Automata Theory · Computer Science 2022-08-02 Runqing Xu , Jie An , Bohua Zhan

The paper presents the differential equations that characterize an asynchronous automaton and gives their solution x:R->{0,1}x...x{0,1}. Remarks are made on the connection between the continuous time and the discrete time of the approach.…

Logic in Computer Science · Computer Science 2007-05-23 Serban E. Vlad

This paper deals with the convergence time analysis of a class of fixed-time stable systems with the aim to provide a new non-conservative upper bound for its settling time. Our contribution is fourfold. First, we revisit the well-known…

Optimization and Control · Mathematics 2019-07-23 R. Aldana-López , D. Gómez-Gutiérrez , E. Jiménez-Rodríguez , J. D. Sánchez-Torres , M. Defoort

A recent result of Haase et al. has shown that reachability in two-clock timed automata is log-space equivalent to reachability in bounded one-counter automata. We show that reachability in bounded one-counter automata is PSPACE-complete.

Formal Languages and Automata Theory · Computer Science 2020-01-15 John Fearnley , Marcin Jurdziński

The paper studies some important properties of the asynchronous (=timed) automata: the delay-insensitivity, the hazard-freedom, the semi-modularity and the technical condition of good running. Time is discrete.

Logic in Computer Science · Computer Science 2007-05-23 Serban E. Vlad

The languages of infinite timed words accepted by timed automata are traditionally defined using Buchi-like conditions. These acceptance conditions focus on the set of locations visited infinitely often along a run, but completely ignore…

Formal Languages and Automata Theory · Computer Science 2013-09-12 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Amelie Stainer

We consider finite two-way automata and measure the use of two-way motion by counting the number of left moves in accepting computations. Restriction of the automata according to this measure allows us to study in detail the use of two-way…

Formal Languages and Automata Theory · Computer Science 2014-09-23 David Damanik