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We consider temporal logic verification of (possibly nonlinear) dynamical systems evolving over continuous state spaces. Our approach combines automata-based verification and the use of so-called barrier certificates. Automata-based…

Formal Languages and Automata Theory · Computer Science 2014-03-17 Tichakorn Wongpiromsarn , Ufuk Topcu , Andrew Lamperski

Regular expressions and automata models with capture variables are core tools in rule-based information extraction. These formalisms, also called regular document spanners, use regular languages in order to locate the data that a user wants…

Databases · Computer Science 2018-03-15 Fernando Florenzano , Cristian Riveros , Martin Ugarte , Stijn Vansummeren , Domagoj Vrgoc

We introduce deterministic suffix-reading automata (DSA), a new automaton model over finite words. Transitions in a DSA are labeled with words. From a state, a DSA triggers an outgoing transition on seeing a word ending with the…

Formal Languages and Automata Theory · Computer Science 2024-10-31 R Keerthan , B Srivathsan , R Venkatesh , Sagar Verma

We propose a delay-agnostic asynchronous coordinate update algorithm (DEGAS) for computing operator fixed points, with applications to asynchronous optimization. DEGAS includes novel asynchronous variants of ADMM and block-coordinate…

Optimization and Control · Mathematics 2023-05-16 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

The class of Boolean combinations of tree languages recognized by deterministic top-down tree automata (also known as deterministic root-to-frontier automata) is studied. The problem of determining for a given regular tree language whether…

Formal Languages and Automata Theory · Computer Science 2024-01-15 Christof Löding , Wolfgang Thomas

We define guarded variable automata (GVAs), a simple extension of finite automata over infinite alphabets. In this model the transitions are labelled by letters or variables ranging over an infinite alphabet and guarded by conjunction of…

Formal Languages and Automata Theory · Computer Science 2013-10-28 Walid Belkhir , Yannick Chevalier , Michael Rusinowitch

The requirement of a language to be conditionally decomposable is imposed on a specification language in the coordination supervisory control framework of discrete-event systems. In this paper, we present a polynomial-time algorithm for the…

Systems and Control · Computer Science 2014-12-22 Jan Komenda , Tomáš Masopust , Jan H. van Schuppen

Equipping approximate dynamic programming (ADP) with inputconstraints has a tremendous significance. This enables ADP to be applied tothe systems with actuator limitations, which is quite common for dynamicalsystems. In a conventional…

Optimization and Control · Mathematics 2018-05-24 Xuefeng Bao , Zhi-Hong Mao , Nitin Sharma

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

Graded modalities have been proposed in recent work on programming languages as a general framework for refining type systems with intensional properties. In particular, continuous endomaps of the discrete time scale, or time warps, can be…

Logic · Mathematics 2021-08-20 Sam van Gool , Adrien Guatto , George Metcalfe , Simon Santschi

Timed basic parallel processes (TBPP) extend communication-free Petri nets (aka. BPP or commutative context-free grammars) by a global notion of time. TBPP can be seen as an extension of timed automata (TA) with context-free branching…

Formal Languages and Automata Theory · Computer Science 2019-07-09 Lorenzo Clemente , Piotr Hofman , Patrick Totzke

Solving the challenges of automatic machine translation of Building Automation System text metadata is a crucial first step in efficiently deploying smart building applications. The vocabulary used to describe building metadata appears…

Computation and Language · Computer Science 2022-12-06 David Waterworth , Subbu Sethuvenkatraman , Quan Z. Sheng

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

This paper presents efficient algorithms for testing the finite, polynomial, and exponential ambiguity of finite automata with $\epsilon$-transitions. It gives an algorithm for testing the exponential ambiguity of an automaton $A$ in time…

Computational Complexity · Computer Science 2008-02-25 Cyril Allauzen , Mehryar Mohri , Ashish Rastogi

A syntactic model is presented for the specification of finite-state synchronous digital logic systems with complex input/output interfaces, which control the flow of data between opaque computational elements, and for the composition of…

Logic in Computer Science · Computer Science 2023-02-02 Nick Mertin , K. Ritsuka , Karen Rudie

A Wheeler automaton is a finite state automaton whose states admit a total Wheeler order, reflecting the co-lexicographic order of the strings labeling source-to-node paths. A Wheeler language is a regular language admitting an accepting…

Formal Languages and Automata Theory · Computer Science 2023-12-19 Ruben Becker , Davide Cenzato , Sung-Hwan Kim , Bojana Kodric , Alberto Policriti , Nicola Prezza

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

In temporal extensions of Answer Set Programming (ASP) based on linear-time, the behavior of dynamic systems is captured by sequences of states. While this representation reflects their relative order, it abstracts away the specific times…

Artificial Intelligence · Computer Science 2024-01-22 Arvid Becker , Pedro Cabalar , Martín Diéguez , Luis Fariñas , Torsten Schaub , Anna Schuhmann

We show that deterministic finite automata equipped with $k$ two-way heads are equivalent to deterministic machines with a single two-way input head and $k-1$ linearly bounded counters if the accepted language is strictly bounded, i.e., a…

Formal Languages and Automata Theory · Computer Science 2014-08-07 Holger Petersen

This paper introduces a predictive control barrier function (PCBF) framework for enforcing state constraints in discrete-time systems with unknown relative degree, which can be caused by input delays or unmodeled input dynamics. Existing…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Juan Augusto Paredes Salazar , James Usevitch , Ankit Goel