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I present an analytic approach to establishing the presence of phase transitions in a large set of decision problems. This approach does not require extensive computational study of the problems considered. The set -- that of all paddable…

Computational Complexity · Computer Science 2025-01-27 Andrew Jackson

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

Planning safe motions for legged robots requires sophisticated safety verification tools. However, designing such tools for such complex systems is challenging due to the nonlinear and high-dimensional nature of these systems' dynamics. In…

Robotics · Computer Science 2022-02-28 Junhyeok Ahn , Seung Hyeon Bang , Carlos Gonzalez , Yuanchen Yuan , Luis Sentis

It is very common to use dynamic methods to detect deadlocks in MPI programs for the reason that static methods have some restrictions. To guarantee high reliability of some important MPI-based application software, a model of MPI…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-09-25 Liao Ming-Xue , He Xiao-Xin , Fan Zhi-Hua

Phase synchronization was proved to be unbounded in quantum level, but the witness of phase synchronization is always expensive in terms of the quantum resource and non-local measurements involved. Based on the quantum uncertainty relation,…

Quantum Physics · Physics 2020-06-08 Shao-Qiang Ma , Xiao Zheng , Guo-Feng Zhang

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

We propose the concept of adaptable processes as a way of overcoming the limitations that process calculi have for describing patterns of dynamic process evolution. Such patterns rely on direct ways of controlling the behavior and location…

Logic in Computer Science · Computer Science 2015-07-01 Mario Bravetti , Cinzia Di Giusto , Jorge A Perez , Gianluigi Zavattaro

This paper studies the security of cyber-physical systems under attacks. Our goal is to design system parameters, such as a set of initial conditions and input bounds so that it is secure by design. To this end, we propose new sufficient…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Kunal Garg , Ricardo G. Sanfelice , Alvaro A. Cardenas

A model has been proposed in [Baruah et al., in Proceedings of the IEEE Real-Time Systems Symposium 2012] for representing recurrent precedence-constrained tasks to be executed on multiprocessor platforms, where each recurrent task is…

Data Structures and Algorithms · Computer Science 2019-07-01 Vincenzo Bonifaci , Alberto Marchetti-Spaccamela , Sebastian Stiller , Andreas Wiese

We address the problem of analyzing asynchronous event-driven programs, in which concurrent agents communicate via unbounded message queues. The safety verification problem for such programs is undecidable. We present in this paper a…

Programming Languages · Computer Science 2019-05-27 Peizun Liu , Thomas Wahl , Akash LaL

A classical result by Ramalingam about synchronization-sensitive interprocedural program analysis implies that reachability for concurrent threads running recursive procedures is undecidable. A technique proposed by Qadeer and Rehof, to…

Programming Languages · Computer Science 2018-04-16 Peizun Liu , Thomas Wahl

Formal verification provides strong safety guarantees but only for models of cyber-physical systems. Hybrid system models describe the required interplay of computation and physical dynamics, which is crucial to guarantee what computations…

Logic in Computer Science · Computer Science 2019-02-26 Stefan Mitsch , André Platzer

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

Logic in Computer Science · Computer Science 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

Linearizability is the de facto consistency condition for concurrent objects, widely used in theory and practice. Loosely speaking, linearizability classifies concurrent executions as correct if operations on shared objects appear to take…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-30 Gal Sela , Maurice Herlihy , Erez Petrank

As artificial intelligence (AI) models are scaled up, new capabilities can emerge unintentionally and unpredictably, some of which might be dangerous. In response, dangerous capabilities evaluations have emerged as a new risk assessment…

Computers and Society · Computer Science 2023-10-03 Jide Alaga , Jonas Schuett

Counters that hold natural numbers are ubiquitous in modeling and verifying software systems; for example, they model dynamic creation and use of resources in concurrent programs. Unfortunately, such discrete counters often lead to…

Formal Languages and Automata Theory · Computer Science 2025-11-27 A. R. Balasubramanian , Matthew Hague , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

When autonomous vehicles encounter untrained scenarios, ensuring safety hinges on effective safety verification to prevent accidents stemming from unexpected model decisions. Reachability analysis, a method of safety verification, offers…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Lingxiang Fan , Linxuan He , Haoyuan Ji , Shuo Feng

As the complexity of modern processors has increased over the years, developing effective verification strategies to identify bugs prior to manufacturing has become critical. Undiscovered micro-architectural bugs in processors can manifest…

To efficiently exploit the resources of new many-core architectures, integrating dozens or even hundreds of cores per chip, parallel programming models have evolved to expose massive amounts of parallelism, often in the form of fine-grained…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-14 Andi Drebes , Karine Heydemann , Antoniu Pop , Albert Cohen , Nathalie Drach

Programmers often use an iterative process of hypothesis generation ("perhaps this function is called twice?") and hypothesis testing ("let's count how many times this breakpoint fires") to understand the behavior of unfamiliar or…

Programming Languages · Computer Science 2026-04-14 Shardul Chiplunkar , Clément Pit-Claudel