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Reachability analysis is a popular method to give safety guarantees for stochastic cyber-physical systems (SCPSs) that takes in a symbolic description of the system dynamics and uses set-propagation methods to compute an overapproximation…

Robotics · Computer Science 2024-07-17 Navid Hashemi , Lars Lindemann , Jyotirmoy V. Deshmukh

A standard model that arises in several applications in sequential decision making is partially observable Markov decision processes (POMDPs) where a decision-making agent interacts with an uncertain environment. A basic objective in such…

Computational Complexity · Computer Science 2025-06-16 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Ali Shafiee

In this paper, we study the program-point reachability problem of concurrent pushdown systems that communicate via unbounded and unordered message buffers. Our goal is to relax the common restriction that messages can only be retrieved by a…

Logic in Computer Science · Computer Science 2014-01-27 Jonathan Kochems , C-H Luke Ong

The pairwise reachability problem for a multi-threaded program asks, given control locations in two threads, whether they can be simultaneously reached in an execution of the program. The problem is important for static analysis and is used…

Logic in Computer Science · Computer Science 2015-07-01 Remi Bonnet , Rohit Chadha , Mahesh Viswanathan , P. Madhusudan

Hybrid systems - more precisely, their mathematical models - can exhibit behaviors, like Zeno behaviors, that are absent in purely discrete or purely continuous systems. First, we observe that, in this context, the usual definition of…

Logic in Computer Science · Computer Science 2018-09-05 Eugenio Moggi , Amin Farjudian , Adam Duracz , Walid Taha

In this paper, we investigate the necessity of traceability for accurate learning in stochastic convex optimization (SCO) under $\ell_p$ geometries. Informally, we say a learning algorithm is $m$-traceable if, by analyzing its output, it is…

Machine Learning · Computer Science 2025-06-02 Sasha Voitovych , Mahdi Haghifam , Idan Attias , Gintare Karolina Dziugaite , Roi Livni , Daniel M. Roy

Efficient implementations of concurrent objects such as atomic collections are essential to modern computing. Programming such objects is error prone: in minimizing the synchronization overhead between concurrent object invocations, one…

Programming Languages · Computer Science 2017-07-04 Ahmed Bouajjani , Constantin Enea , Chao Wang

The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known. In this paper, we provide an underapproximation for the general model by considering only runs that are…

Logic in Computer Science · Computer Science 2023-06-22 Benedikt Bollig , Alain Finkel , Amrita Suresh

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

In this work, we consider the fundamental problem of reachability analysis over imperative programs with real variables. The reachability property requires that a program can reach certain target states during its execution. Previous works…

Programming Languages · Computer Science 2020-07-29 Ali Asadi , Krishnendu Chatterjee , Hongfei Fu , Amir Kafshdar Goharshady , Mohammad Mahdavi

Reinforcement Learning (RL) algorithms have shown tremendous success in simulation environments, but their application to real-world problems faces significant challenges, with safety being a major concern. In particular, enforcing…

Machine Learning · Computer Science 2024-06-19 Weiye Zhao , Rui Chen , Yifan Sun , Tianhao Wei , Changliu Liu

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. We introduce and study…

Optimization and Control · Mathematics 2016-10-19 Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

We present a framework for the efficient application of stateless model checking (SMC) to concurrent programs running under the Release-Acquire (RA) fragment of the C/C++11 memory model. Our approach is based on exploring the possible…

Programming Languages · Computer Science 2018-09-12 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Bengt Jonsson , Tuan Phong Ngo

This paper proposes a finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems. The algorithm is guaranteed to return a control strategy if the specification is robustly realizable. Such a feature is…

Optimization and Control · Mathematics 2020-04-17 Yinan Li , Jun Liu

One of the most fundamental problems in computer science is the reachability problem: Given a directed graph and two vertices s and t, can s reach t via a path? We revisit existing techniques and combine them with new approaches to support…

Data Structures and Algorithms · Computer Science 2021-02-02 Kathrin Hanauer , Christian Schulz , Jonathan Trummer

The development of algorithms for secure state estimation in vulnerable cyber-physical systems has been gaining attention in the last years. A consolidated assumption is that an adversary can tamper a relatively small number of sensors. In…

Optimization and Control · Mathematics 2024-05-31 Vito Cerone , Sophie M. Fosson , Diego Regruto , Francesco Ripa

Would it be possible to explain the emergence of new computational ideas using the computation itself? Would it be feasible to describe the discovery process of new algorithmic solutions using only mathematics? This study is the first…

The goal of partial-order methods is to accelerate the exploration of concurrent systems by examining only a representative subset of all possible runs. The stateful approach builds a transition system with representative runs, while the…

Logic in Computer Science · Computer Science 2024-11-27 Frédéric Herbreteau , Sarah Larroze-Jardiné , Gérald Point , Igor Walukiewicz

Although existing garbage collectors (GCs) perform extremely well on typical programs, there still exist pathological programs for which modern GCs significantly degrade performance. This observation begs the question: might there exist a…

Programming Languages · Computer Science 2025-12-19 Matthew Sotoudeh

In this paper we consider the problem of finding an evolution of a dynamical system that originates and terminates in given sets of states. However, if such an evolution exists then it is usually not unique. We investigate this problem and…

Optimization and Control · Mathematics 2017-09-21 Jan Kuratko , Stefan Ratschan