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Weighted timed automata have been defined in the early 2000's for modelling resource-consumption or -allocation problems in real-time systems. Optimal reachability is decidable in weighted timed automata, and a symbolic forward algorithm…

Logic in Computer Science · Computer Science 2016-02-02 Patricia Bouyer , Maximilien Colange , Nicolas Markey

We study the following decision problem: is the language recognized by a quantum finite automaton empty or non-empty? We prove that this problem is decidable or undecidable depending on whether recognition is defined by strict or non-strict…

Quantum Physics · Physics 2007-05-23 Vincent D. Blondel , Emmanuel Jeandel , Pascal Koiran , Natacha Portier

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

This paper investigates the time-bounded version of the reachability problem for hybrid automata. This problem asks whether a given hybrid automaton can reach a given target location within T time units, where T is a constant rational…

Logic in Computer Science · Computer Science 2011-04-29 Thomas Brihaye , Laurent Doyen , Gilles Geeraerts , Joël Ouaknine , Jean-François Raskin , James Worrell

The system of Type PDL ($\tau$PDL) is an extension of Propositional Dynamic Logic (PDL) and its main goal is to provide a formal basis for reasoning about types of actions (modeled by their preconditions and effects) and agent capabilities.…

Logic in Computer Science · Computer Science 2019-09-04 Agathoklis Kritsimallis , Ioannis Refanidis

Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Lorenzo Clemente , Sławomir Lasota

The depth-bounded fragment of the pi-calculus is an expressive class of systems enjoying decidability of some important verification problems. Unfortunately membership of the fragment is undecidable. We propose a novel type system,…

Logic in Computer Science · Computer Science 2015-02-24 Emanuele D'Osualdo , Luke Ong

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

Logic in Computer Science · Computer Science 2009-10-28 Anthony Widjaja To , Leonid Libkin

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Formal Languages and Automata Theory · Computer Science 2012-10-09 Vojtech Forejt , Petr Jancar , Stefan Kiefer , James Worrell

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

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. It was conjectured that in each completely…

Formal Languages and Automata Theory · Computer Science 2024-03-20 David Casas , Mikhail V. Volkov

In this paper, we investigate the problem of synthesizing computable functions of infinite words over an infinite alphabet (data omega-words). The notion of computability is defined through Turing machines with infinite inputs which can…

Logic in Computer Science · Computer Science 2020-02-20 Léo Exibard , Emmanuel Filiot , Pierre-Alain Reynier

Finitary Idealized Concurrent Algol (FICA) is a prototypical programming language combining functional, imperative, and concurrent computation. There exists a fully abstract game model of FICA, which in principle can be used to prove…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Alex Dixon , Ranko Lazić , Andrzej S. Murawski , Igor Walukiewicz

Motivated by applications where impatience is pervasive and evaluation times are uncertain, we study a selection model where options may expire at an unknown point in time and evaluation times are stochastic. Initially, the decision-maker…

Optimization and Control · Mathematics 2026-02-05 Yihua Xu , Rohan Ghuge , Sebastian Perez-Salazar

We consider the computability and complexity of decision questions for Probabilistic Finite Automata (PFA) with sub-exponential ambiguity. We show that the emptiness problem for strict and non-strict cut-points of polynomially ambiguous…

Formal Languages and Automata Theory · Computer Science 2020-07-30 Paul C. Bell

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our…

Logic in Computer Science · Computer Science 2023-07-04 Rodrigo Raya

We introduce a novel automata model, called pebble-intervals automata (PIA), and study its power and closure properties. PIAs are tailored for a decidable fragment of FO that is important for reasoning about structures that use data values…

Logic in Computer Science · Computer Science 2019-12-04 Nadia Labai , Tomer Kotek , Magdalena Ortiz , Helmut Veith

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

We study the computational power of real-time finite automata that have been augmented with a vector of dimension k, and programmed to multiply this vector at each step by an appropriately selected $k \times k$ matrix. Only one entry of the…

Formal Languages and Automata Theory · Computer Science 2016-09-09 Özlem Salehi , Abuzer Yakaryılmaz , A. C. Cem Say

We present efficient algorithms to reduce the size of nondeterministic B\"uchi word automata (NBA) and nondeterministic finite word automata (NFA), while retaining their languages. Additionally, we describe methods to solve PSPACE-complete…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Richard Mayr