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We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

In this paper we study reachability verification problems of stochastic discrete-time dynamical systems over the infinite time horizon. The reachability verification of interest in this paper is to certify specified lower and upper bounds…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Bai Xue

The paper deals with the verification of reachability properties in a commonly used state transition model of communication protocols, which consists of finite state machines connected by potentially unbounded FIFO channels. Although simple…

Logic in Computer Science · Computer Science 2012-03-21 Jan Pachl

Event-clock automata (ECA) are a well-known semantic subclass of timed automata (TA) which enjoy admirable theoretical properties, e.g., determinizability, and are practically useful to capture timed specifications. However, unlike for…

Formal Languages and Automata Theory · Computer Science 2024-08-07 S Akshay , Paul Gastin , R Govind , B Srivathsan

We examine verification of concurrent programs under the total store ordering (TSO) semantics used by the x86 architecture. In our model, threads manipulate variables over infinite domains and they can check whether variables are related…

Formal Languages and Automata Theory · Computer Science 2024-01-22 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Shashwat Garg

This paper contains two results on timed extensions of pushdown automata (PDA). As our first result we prove that the model of dense-timed PDA of Abdulla et al. collapses: it is expressively equivalent to dense-timed PDA with timeless…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Lorenzo Clemente , Sławomir Lasota

We consider the model-checking problem for freeze LTL on one-counter automata (OCA). Freeze LTL extends LTL with the freeze quantifier, which allows one to store different counter values of a run in registers so that they can be compared…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Benedikt Bollig , Karin Quaas , Arnaud Sangnier

Timed B\"uchi automata provide a very expressive formalism for expressing requirements of real-time systems. Online monitoring and active testing of embedded real-time systems can then be achieved by symbolic execution of such automata on…

Formal Languages and Automata Theory · Computer Science 2025-07-30 Martin Fränzle , Thomas M. Grosen , Kim G. Larsen , Martin Zimmermann

Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition…

Logic in Computer Science · Computer Science 2017-07-17 Jeremy Sproston

The emptiness and containment problems for probabilistic automata are natural quantitative generalisations of the classical language emptiness and inclusion problems for Boolean automata. It is well known that both problems are undecidable.…

Formal Languages and Automata Theory · Computer Science 2020-03-31 Laure Daviaud , Marcin Jurdziński , Ranko Lazić , Filip Mazowiecki , Guillermo A. Pérez , James Worrell

Efficient implementations of atomic objects such as concurrent stacks and queues are especially susceptible to programming errors, and necessitate automatic verification. Unfortunately their correctness criteria - linearizability with…

Logic in Computer Science · Computer Science 2015-05-26 Ahmed Bouajjani , Michael Emmi , Constantin Enea , Jad Hamza

Reachability in pushdown vector addition systems with states (PVASS) is among the longest standing open problems in Theoretical Computer Science. We show that the problem is decidable in full generality. Our decision procedure is similar in…

Logic in Computer Science · Computer Science 2026-02-19 Roland Guttenberg , Eren Keskin , Roland Meyer

We characterize the complexity of liveness verification for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributor processes. Processes communicate through a shared, bounded-value…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-26 Antoine Durand-Gasselin , Javier Esparza , Pierre Ganty , Rupak Majumdar

Inspired by distributed applications that use consensus or other agreement protocols for global coordination, we define a new computational model for parameterized systems that is based on a general global synchronization primitive and…

Formal Languages and Automata Theory · Computer Science 2021-05-07 Nouraldin Jaber , Swen Jacobs , Christopher Wagner , Milind Kulkarni , Roopsha Samanta

We consider systems composed of an unbounded number of uniformly designed linear hybrid automata, whose dynamic behavior is determined by their relation to neighboring systems. We present a class of such systems and a class of safety…

Logic in Computer Science · Computer Science 2016-01-08 Werner Damm , Matthias Horbach , Viorica Sofronie-Stokkermans

Threshold automata are a formalism for modeling and analyzing fault-tolerant distributed algorithms, recently introduced by Konnov, Veith, and Widder, describing protocols executed by a fixed but arbitrary number of processes. We conduct…

Logic in Computer Science · Computer Science 2025-12-02 A. R. Balasubramanian , Javier Esparza , Marijana Lazic

The probabilistic reachability problems of nondeterministic systems are studied. Based on the existing studies, the definition of probabilistic reachable sets is generalized by taking into account time-varying target set and obstacle. A…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Wei Liao , Taotao Liang , Xiaohui Wei , Qiaozhi Yin

This paper deals with the problem of point-to-point reachability in multi-linear systems. These systems consist of a partition of the Euclidean space into a finite number of regions and a constant derivative assigned to each region in the…

Logic in Computer Science · Computer Science 2011-06-08 Olga Tveretina , Daniel Funke

We reinvestigate known lower bounds for the Intersection Non-Emptiness Problem for Deterministic Finite Automata (DFA's). We first strengthen conditional time complexity lower bounds from T. Kasai and S. Iwata (1985) which showed that…

Formal Languages and Automata Theory · Computer Science 2026-03-24 Michael Wehar

We make a connection between the subgroup membership and identity problems for matrix groups and extended finite automata. We provide an alternative proof for the decidability of the subgroup membership problem for $ 2 \times 2 $ integer…

Formal Languages and Automata Theory · Computer Science 2018-07-17 Özlem Salehi , Ahmet Celal Cem Say
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