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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

Rollback recovery strategies are well-known in concurrent and distributed systems. In this context, recovering from unexpected failures is even more relevant given the non-deterministic nature of execution, which means that it is…

Programming Languages · Computer Science 2024-01-08 Germán Vidal

We study algorithmic problems in multi-stage open shop processing systems that are centered around reachability and deadlock detection questions. We characterize safe and unsafe system states. We show that it is easy to recognize system…

Data Structures and Algorithms · Computer Science 2011-02-16 Christian Eggermont , Alexander Schrijver , Gerhard J. Woeginger

Synthesis is a particularly challenging problem for concurrent programs. At the same time it is a very promising approach, since concurrent programs are difficult to get right, or to analyze with traditional verification techniques. This…

Formal Languages and Automata Theory · Computer Science 2015-06-09 Anca Muscholl

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

In typical embedded applications, the precise execution time of the program does not matter, and it is sufficient to meet a real-time deadline. However, modern applications in information security have become much more time-sensitive, due…

Cryptography and Security · Computer Science 2020-05-07 Pantea Kiaei , Patrick Schaumont

Efficiently handling time-triggered and possibly nondeterministic switches for hybrid systems reachability is a challenging task. In this paper we present an approach based on conservative set-based enclosure of the dynamics that can handle…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Marcelo Forets , Daniel Freire , Christian Schilling

In this paper, we report our ongoing investigations of the inherent non-determinism in contemporary execution environments that can potentially lead to divergence in state of a multi-channel hardware/software system. Our approach involved…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-09 Peter Okech , Nicholas Mc Guire , William Okelo-Odongo

We introduce the model of communicating timed automata (CTA) that extends the classical models of finite-state processes communicating through FIFO perfect channels and timed automata, in the sense that the finite-state processes are…

Formal Languages and Automata Theory · Computer Science 2018-03-20 Parosh Aziz Abdulla , Mohamed Faouzi Atig , S. Krishna

Probabilistic guarantees of safety and performance are important in constrained dynamical systems with stochastic uncertainty. We consider the stochastic reachability problem, which maximizes the probability that the state remains within…

Optimization and Control · Mathematics 2020-12-01 Abraham P. Vinod , Meeko M. K. Oishi

Data race conditions in multi-tasking software applications are prevented by serializing access to shared memory resources, ensuring data consistency and deterministic behavior. Traditionally tasks acquire and release locks to synchronize…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-24 K. Eric Harper , Thijmen de Gooijer

This article presents the complexity of reachability decision problems for parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a…

Logic in Computer Science · Computer Science 2020-09-29 Sebastian Junges , Joost-Pieter Katoen , Guillermo A. Pérez , Tobias Winkler

This paper presents a {theoretical study} of the problem of verifying linearizability at runtime, where one seeks for a concurrent algorithm for verifying that the current execution of a given concurrent shared object implementation is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Armando Castañeda , Gilde Valeria Rodríguez

In Racket, the LLVM IR, Rust, and other modern languages, programmers and static analyses can hint, with special annotations, that certain parts of a program are unreachable. Same as other assumptions about undefined behavior; the compiler…

Programming Languages · Computer Science 2024-07-09 Peter Zhong , Shu-Hung You , Simone Campanoni , Robert Bruce Findler , Matthew Flatt , Christos Dimoulas

Kallampally and Tewari showed in 2016 that there can be a trade-off between determinism and time in space-bounded computations. This they did by describing an unambiguous non-deterministic algorithm to solve Directed Graph Reachability that…

Computational Complexity · Computer Science 2025-04-16 Ronak Bhadra , Raghunath Tewari

Reachability problems in infinite-state systems are often subject to extremely high complexity. This motivates the investigation of efficient overapproximations, where we add transitions to obtain a system in which reachability can be…

Formal Languages and Automata Theory · Computer Science 2022-06-28 Moses Ganardi , Rupak Majumdar , Georg Zetzsche

In this work, we propose a new framework for reachable set computation through continuous evolution of a set of parameters and offsets which define a parametope, through the intersection of constraints. This results in a dynamical approach…

Optimization and Control · Mathematics 2025-09-16 Akash Harapanahalli , Samuel Coogan

Almost all modern imperative programming languages include operations for dynamically manipulating the heap, for example by allocating and deallocating objects, and by updating reference fields. In the presence of recursive procedures and…

Programming Languages · Computer Science 2012-12-18 Jurriaan Rot , Irina Măriuca Asăvoae , Frank de Boer , Marcello M. Bonsangue , Dorel Lucanu

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

A dominant cost for query evaluation in modern massively distributed systems is the number of communication rounds. For this reason, there is a growing interest in single-round multiway join algorithms where data is first reshuffled over…

Databases · Computer Science 2015-01-06 Tom J. Ameloot , Gaetano Geck , Bas Ketsman , Frank Neven , Thomas Schwentick