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We present a symbolic reachability analysis approach for B that can provide a significant speedup over traditional explicit state model checking. The symbolic analysis is implemented by linking ProB to LTSmin, a high-performance language…

Software Engineering · Computer Science 2016-03-15 Jens Bendisposto , Philipp Koerner , Michael Leuschel , Jeroen Meijer , Jaco van de Pol , Helen Treharne , Jorden Whitefield

This paper studies parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a finite set of parameters. Fixing values for all parameters…

Logic in Computer Science · Computer Science 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

The reachability problem for timed automata asks if there exists a path from an initial state to a target state. The standard solution to this problem involves computing the zone graph of the automaton, which in principle could be infinite.…

Logic in Computer Science · Computer Science 2011-12-30 Frédéric Herbreteau , Dileep Kini , B. Srivathsan , Igor Walukiewicz

This work presents a method of efficiently computing inner and outer approximations of forward reachable sets for nonlinear control systems with changed dynamics and diminished control authority, given an a priori computed reachable set for…

Optimization and Control · Mathematics 2022-03-22 Hamza El-Kebir , Ani Pirosmanishvili , Melkior Ornik

Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2014-09-10 Matteo Camilli

We consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

We present a method of automatically synthesizing steps to solve search problems. Given a specification of a search problem, our approach uses symbolic execution to analyze the specification in order to extract a set of constraints which…

Logic in Computer Science · Computer Science 2020-09-24 Mara Downing , Abtin Molavi , Lucas Bang

We consider the problem of symbolic reachability analysis of higher-order context-free processes. These models are generalizations of the context-free processes (also called BPA processes) where each process manipulates a data structure…

Logic in Computer Science · Computer Science 2007-05-29 Ahmed Bouajjani , Antoine Meyer

Hamilton Jacobi (HJ) Reachability is a formal verification tool widely used in robotic safety analysis. Given a target set as unsafe states, a dynamical system is guaranteed not to enter the target under the worst-case disturbance if it…

Optimization and Control · Mathematics 2020-03-18 Anjian Li , Mo Chen

The parameter synthesis problem for parametric timed automata is undecidable in general even for very simple reachability properties. In this paper we introduce restrictions on parameter valuations under which the parameter synthesis…

Formal Languages and Automata Theory · Computer Science 2016-03-07 Peter Bezděk , Nikola Beneš , Jiří Barnat , Ivana Černá

Many problems in quantum information theory can be formulated as optimizations over the sequential outcomes of dynamical systems subject to unpredictable external influences. Such problems include many-body entanglement detection through…

Quantum Physics · Physics 2024-06-07 Mirjam Weilenmann , Costantino Budroni , Miguel Navascues

Modern processors such as ARMv8 and RISC-V allow executions in which independent instructions within a process may be reordered. To cope with such phenomena, so called promising semantics have been developed, which permit threads to read…

Logic in Computer Science · Computer Science 2022-11-30 Heike Wehrheim , Lara Bargmann , Brijesh Dongol

Threshold automata are a formalism for modeling fault-tolerant distributed algorithms. The main feature of threshold automata is the notion of a threshold guard, which allows us to compare the number of received messages with the total…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-01 A. R. Balasubramanian

Synthesizing programs from examples requires searching over a vast, combinatorial space of possible programs. In this search process, a key challenge is representing the behavior of a partially written program before it can be executed, to…

Programming Languages · Computer Science 2021-04-21 Maxwell Nye , Yewen Pu , Matthew Bowers , Jacob Andreas , Joshua B. Tenenbaum , Armando Solar-Lezama

We consider the broad problem of analyzing safety properties of asynchronous concurrent programs under arbitrary thread interleavings. Delay-bounded deterministic scheduling, introduced in prior work, is an efficient bug-finding technique…

Programming Languages · Computer Science 2021-05-18 Andrew Johnson , Thomas Wahl

As dynamical systems equipped with neural network controllers (neural feedback systems) become increasingly prevalent, it is critical to develop methods to ensure their safe operation. Verifying safety requires extending control theoretic…

Systems and Control · Electrical Eng. & Systems 2026-04-15 I. Samuel Akinwande , Chelsea Sidrane , Mykel J. Kochenderfer , Clark Barrett

Reachability analysis is at the core of many applications, from neural network verification, to safe trajectory planning of uncertain systems. However, this problem is notoriously challenging, and current approaches tend to be either too…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Thomas Lew , Marco Pavone

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with…

Optimization and Control · Mathematics 2019-04-03 Andreas Ernst , Lars Grüne , Janosch Rieger

We propose an under-approximate reachability analysis algorithm for programs running under the POWER memory model, in the spirit of the work on context-bounded analysis intitiated by Qadeer et al. in 2005 for detecting bugs in concurrent…

Programming Languages · Computer Science 2019-09-25 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Ahmed Bouajjani , Tuan Phong Ngo