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We investigate a zone based approach for the reachability problem in timed automata. The challenge is to alleviate the size explosion of the search space when considering networks of timed automata working in parallel. In the timed setting…

Logic in Computer Science · Computer Science 2019-07-05 R. Govind , Frédéric Herbreteau , B. Srivathsan , Igor Walukiewicz

We introduce Parametric Linear Dynamic Logic (PLDL), which extends Linear Dynamic Logic (LDL) by temporal operators equipped with parameters that bound their scope. LDL was proposed as an extension of Linear Temporal Logic (LTL) that is…

Logic in Computer Science · Computer Science 2014-08-27 Peter Faymonville , Martin Zimmermann

Partially observable Markov decision processes (POMDPs) are a central model for uncertainty in sequential decision making. The most basic objective is the reachability objective, where a target set must be eventually visited, and the more…

Computational Complexity · Computer Science 2025-12-09 Ali Asadi , Krishnendu Chatterjee , David Lurie , Raimundo Saona

We introduce weighted one-deterministic-counter automata (ODCA). These are weighted one-counter automata (OCA) with the property of counter-determinacy, meaning that all paths labelled by a given word starting from the initial configuration…

Formal Languages and Automata Theory · Computer Science 2023-07-31 Prince Mathew , Vincent Penelle , Prakash Saivasan , A. V. Sreejith

In real world applications, uncertain parameters are the rule rather than the exception. We present a reachability algorithm for linear systems with uncertain parameters and inputs using set propagation of polynomial zonotopes. In contrast…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Yushen Huang , Ertai Luo , Stanley Bak , Yifan Sun

We study the safety verification problem for parameterized systems under the release-acquire (RA) semantics. It has been shown that the problem is intractable for systems with unlimited access to atomic compare-and-swap (CAS) instructions.…

Logic in Computer Science · Computer Science 2022-05-06 Adwait Godbole , Shankara Narayanan Krishna , Roland Meyer

We consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

The lower and the upper irredundance numbers of a graph $G$, denoted $ir(G)$ and $IR(G)$ respectively, are conceptually linked to domination and independence numbers and have numerous relations to other graph parameters. It is a…

We study an expressive model of timed pushdown automata extended with modular and fractional clock constraints. We show that the binary reachability relation is effectively expressible in hybrid linear arithmetic with a rational and an…

Formal Languages and Automata Theory · Computer Science 2018-05-01 Lorenzo Clemente , Sławomir Lasota

Current pulsar timing array (PTA) analyses do not take full advantage of pulsar distance information, thereby missing out on improved angular resolution and on a potential factor-of-two gain in detection sensitivity for individual…

Instrumentation and Methods for Astrophysics · Physics 2026-05-12 Anna C. Tsai , Dylan L. Jow , Ue-Li Pen

It was shown in Alur et al. [1] that the problem of verifying finite concurrent systems through Linearizability is in EXPSPACE. However, there was still a complexity gap between the easy to obtain PSPACE lower bound and the EXPSPACE upper…

Logic in Computer Science · Computer Science 2015-02-18 Jad Hamza

We study pushdown vector addition systems, which are synchronized products of pushdown automata with vector addition systems. The question of the boundedness of the reachability set for this model can be refined into two decision problems…

Formal Languages and Automata Theory · Computer Science 2015-07-28 Jérôme Leroux , Grégoire Sutre , Patrick Totzke

A "pulsar timing array" (PTA), in which observations of a large sample of pulsars spread across the celestial sphere are combined, allows investigation of "global" phenomena such as a background of gravitational waves or instabilities in…

Time-Optimal Path Parameterization (TOPP) is a well-studied problem in robotics and has a wide range of applications. There are two main families of methods to address TOPP: Numerical Integration (NI) and Convex Optimization (CO). NI-based…

Robotics · Computer Science 2017-11-23 Hung Pham , Quang-Cuong Pham

Extensions to finite-state automata on strings, such as multi-head automata or multi-counter automata, have been successfully used to encode many infinite-state non-regular verification problems. In this paper, we consider a generalization…

Formal Languages and Automata Theory · Computer Science 2015-09-25 Rayna Dimitrova , Rupak Majumdar

We study the parameterized complexity of scheduling unit-time jobs on parallel, identical machines under generalized precedence constraints for minimization of the makespan and the sum of completion times. In our setting, each job is…

Optimization and Control · Mathematics 2025-11-18 Christina Büsing , Maurice Draeger , Corinna Mathwieser

In this paper, we study the model-checking and parameter synthesis problems of the logic TCTL over discrete-timed automata where parameters are allowed both in the model (timed automaton) and in the property (temporal formula). Our results…

Logic in Computer Science · Computer Science 2017-01-11 Veronique Bruyere , Jean-Francois Raskin

This paper considers parallel machine scheduling with incompatibilities between jobs. The jobs form a graph and no two jobs connected by an edge are allowed to be assigned to the same machine. In particular, we study the case where the…

Computational Complexity · Computer Science 2021-03-16 Klaus Jansen , Alexandra Lassota , Marten Maack , Tytus Pikies

We consider the non-preemptive scheduling problem on identical machines where there is a parameter B and each machine in every unit length time interval can process up to B different jobs. The goal function we consider is the makespan…

Data Structures and Algorithms · Computer Science 2021-11-15 G. Jaykrishnan , Asaf Levin

We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions, and we study various model-checking problems for that model based on extensions of…

Logic in Computer Science · Computer Science 2015-07-01 Patricia Bouyer , Kim G. Larsen , Nicolas Markey