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Automata operating on strings of nested brackets, known as input-driven pushdown automata, and as visibly pushdown automata, have been studied since the 1980s. They were extended to the case of infinite strings by Alur and Madhusudan…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Alexander Okhotin , Victor L. Selivanov

Despite the possibility to quickly compute reachable sets of large-scale linear systems, current methods are not yet widely applied by practitioners. The main reason for this is probably that current approaches are not push-button-capable…

Numerical Analysis · Mathematics 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Matthias Althoff

Reachability analysis for hybrid systems is an active area of development and has resulted in many promising prototype tools. Most of these tools allow users to express hybrid system as automata with a set of ordinary differential equations…

Programming Languages · Computer Science 2017-04-12 Yingfu Zeng , Ferenc Bartha , Walid Taha

Learning the value function of a given policy from data samples is an important problem in Reinforcement Learning. TD($\lambda$) is a popular class of algorithms to solve this problem. However, the weights assigned to different $n$-step…

Machine Learning · Computer Science 2021-11-24 Rohan Deb , Meet Gandhi , Shalabh Bhatnagar

In this paper, we focus on the autonomous multiagent taxi routing problem for a large urban environment where the location and number of future ride requests are unknown a-priori, but can be estimated by an empirical distribution. Recent…

Multiagent Systems · Computer Science 2025-02-19 Daniel Garces , Sushmita Bhattacharya , Dimitri Bertsekas , Stephanie Gil

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

This paper presents a novel algorithm for reachability analysis of nonlinear discrete-time systems. The proposed method combines constrained zonotopes (CZs) with polyhedral relaxations of factorable representations of nonlinear functions to…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Brenner S. Rego , Guilherme V. Raffo , Marco H. Terra , Joseph K. Scott

The emerging technology of the Autonomous Truck Mounted Attenuator (ATMA), a leader-follower style vehicle system, utilizes connected and automated vehicle capabilities to enhance safety during transportation infrastructure maintenance in…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Qing Tang , Xianbiao Hu

The reachability analysis of weighted pushdown systems is a very powerful technique in verification and analysis of recursive programs. Each transition rule of a weighted pushdown system is associated with an element of a bounded semiring…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Yasuhiko Minamide

We propose Pushdown Normal Form (PDNF) Bisimulation to verify contextual equivalence in higher-order functional programming languages with local state. Similar to previous work on Normal Form (NF) bisimulation, PDNF Bisimulation is sound…

Programming Languages · Computer Science 2023-11-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

We present POPACheck, the first model checking tool for probabilistic Pushdown Automata (pPDA) supporting temporal logic specifications. POPACheck provides a user-friendly probabilistic modeling language with recursion that automatically…

Logic in Computer Science · Computer Science 2025-06-05 Francesco Pontiggia , Ezio Bartocci , Michele Chiari

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

Logic in Computer Science · Computer Science 2019-11-20 Laura Bozzelli , Aniello Murano , Adriano Peron

We present a new technique for demonstrating the reachability of states in deterministic finite automata representing the concatenation of two languages. Such demonstrations are a necessary step in establishing the state complexity of the…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Sylvie Davies

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. Alur, Wojtczak, and…

Logic in Computer Science · Computer Science 2017-07-14 Shankara Narayanan Krishna , Aviral Kumar , Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

The reachability problem in multi-pushdown automata (MPDA) has many applications in static analysis of recursive programs. An example is safety verification of multi-threaded recursive programs with shared memory. Since these problems are…

Formal Languages and Automata Theory · Computer Science 2025-12-05 C. Aiswarya , Pascal Baumann , Prakash Saivasan , Lia Schütze , Georg Zetzsche

Optimization is an important module of modern machine learning applications. Tremendous efforts have been made to accelerate optimization algorithms. A common formulation is achieving a lower loss at a given time. This enables a…

Machine Learning · Computer Science 2025-05-29 Zhonglin Xie , Yiman Fong , Haoran Yuan , Zaiwen Wen

Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous…

Systems and Control · Computer Science 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

We consider a setting in which $N$ agents aim to speedup a common Stochastic Approximation (SA) problem by acting in parallel and communicating with a central server. We assume that the up-link transmissions to the server are subject to…

Artificial Intelligence · Computer Science 2024-08-05 Nicolò Dal Fabbro , Arman Adibi , H. Vincent Poor , Sanjeev R. Kulkarni , Aritra Mitra , George J. Pappas

Recently, an infinite hierarchy of languages accepted by stateless deterministic pushdown automata has been established based on the number of pushdown symbols. However, the witness language for the n-th level of the hierarchy is over an…

Formal Languages and Automata Theory · Computer Science 2012-08-27 Tomáš Masopust

The verification of systems combining hard timing constraints with concurrency is challenging. This challenge becomes even harder when some timing constants are missing or unknown. Parametric timed formalisms, such as parametric timed…

Formal Languages and Automata Theory · Computer Science 2019-08-20 Étienne André , Didier Lime , Mathias Ramparison