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We present a method for accelerating explicit-state backward search algorithms for systems of arbitrarily many finite-state threads. Our method statically analyzes the program executed by the threads for the existence of simple loops. We…

Software Engineering · Computer Science 2016-07-29 Peizun Liu , Thomas Wahl

We address the model checking problem for shared memory concurrent programs modeled as multi-pushdown systems. We consider here boolean programs with a finite number of threads and recursive procedures. It is well-known that the model…

Logic in Computer Science · Computer Science 2012-06-01 Mohamed Faouzi Atig , Ahmed Bouajjani , K. Narayan Kumar , Prakash Saivasan

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

This paper addresses the quantitative verification of finite-time constrained occupation time for stochastic continuous-time systems governed by stochastic differential equations (SDEs). Unlike classical reachability analysis, which focuses…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Bai Xue , C. -H. Luke Ong

This paper is about reachability analysis in a restricted subclass of multi-pushdown automata. We assume that the control states of an automaton are partially ordered, and all transitions of an automaton go downwards with respect to the…

Logic in Computer Science · Computer Science 2015-07-01 Wojciech Czerwiński , Piotr Hofman , SŁawomir Lasota

Automated software verification of concurrent programs is challenging because of exponentially large state spaces with respect to the number of threads and number of events per thread. Verification techniques such as model checking need to…

Programming Languages · Computer Science 2020-04-15 Patrick Metzler , Habib Saissi , Péter Bokor , Neeraj Suri

We study the verification problem for closed-loop dynamical systems with neural-network controllers (NNCS). This problem is commonly reduced to computing the set of reachable states. When considering dynamical systems and neural networks in…

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

There are many types of automata and grammar models that have been studied in the literature, and for these models, it is common to determine whether certain problems are decidable. One problem that has been difficult to answer throughout…

Formal Languages and Automata Theory · Computer Science 2024-05-20 Oscar H. Ibarra , Ian McQuillan

We characterize the complexity of the safety verification problem for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributors. Processes communicate through a shared, bounded-value…

Logic in Computer Science · Computer Science 2015-05-26 Javier Esparza , Pierre Ganty , Rupak Majumdar

Programs that combine I/O and countable probabilistic choice, modulo either bisimilarity or trace equivalence, can be seen as describing a probabilistic strategy. For well-founded programs, we might expect to axiomatize bisimilarity via a…

Logic in Computer Science · Computer Science 2025-08-22 Nathan Bowler , Sergey Goncharov , Paul Blain Levy

Monotonicity in concurrent systems stipulates that, in any global state, extant system actions remain executable when new processes are added to the state. This concept is not only natural and common in multi-threaded software, but also…

Programming Languages · Computer Science 2014-06-26 Alexander Kaiser , Daniel Kroening , Thomas Wahl

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

Reachability analysis has been a prominent way to provide safety guarantees for neurally controlled autonomous systems, but its direct application to neural perception components is infeasible due to imperfect or intractable perception…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Yuang Geng , Thomas Waite , Trevor Turnquist , Radoslav Ivanov , Ivan Ruchkin

Offline runtime verification involves the static analysis of executions of a system against a specification. For distributed systems, it is generally not possible to characterize executions in the form of global traces, given the absence of…

Software Engineering · Computer Science 2024-03-06 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Arnault Lapitre , Pascale Le Gall

The language Timed Concurrent Constraint (tccp) is the extension over time of the Concurrent Constraint Programming (cc) paradigm that allows us to specify concurrent systems where timing is critical, for example reactive systems. Systems…

Logic in Computer Science · Computer Science 2007-05-23 Moreno Falaschi , Alicia Villanueva

Higher-order pushdown systems (PDSs) generalise pushdown systems through the use of higher-order stacks, that is, a nested "stack of stacks" structure. These systems may be used to model higher-order programs and are closely related to the…

Computational Complexity · Computer Science 2015-07-01 Matthew Hague , C. -H. Luke Ong

Geo-replicated systems provide a number of desirable properties such as globally low latency, high availability, scalability, and built-in fault tolerance. Unfortunately, programming correct applications on top of such systems has proven to…

Programming Languages · Computer Science 2025-02-27 Kartik Nagar , Prasita Mukherjee , Suresh Jagannathan

This paper presents a language-independent proof system for reachability properties of programs written in non-deterministic (e.g., concurrent) languages, referred to as all-path reachability logic. It derives partial-correctness properties…

Programming Languages · Computer Science 2023-06-22 Andrei Stefanescu , Stefan Ciobaca , Radu Mereuta , Brandon Moore , Traian Florin Serbanuta , Grigore Rosu

We are interested in the problem of characterizing the correlations that arise when performing local measurements on separate quantum systems. In a previous work [Phys. Rev. Lett. 98, 010401 (2007)], we introduced an infinite hierarchy of…

Quantum Physics · Physics 2009-01-16 Miguel Navascues , Stefano Pironio , Antonio Acin

We show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable. From recent work by Zetzsche this means that we can construct the downward closure of the set of words…

Formal Languages and Automata Theory · Computer Science 2015-11-06 Matthew Hague , Jonathan Kochems , C. -H. Luke Ong