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A temporal graph is a graph whose edges only appear at certain points in time. Reachability in these graphs is defined in terms of paths that traverse the edges in chronological order (temporal paths). This form of reachability is neither…

Computational Complexity · Computer Science 2024-07-01 Arnaud Casteigts , Nils Morawietz , Petra Wolf

Humans can reason compositionally whilst grounding language utterances to the real world. Recent benchmarks like ReaSCAN use navigation tasks grounded in a grid world to assess whether neural models exhibit similar capabilities. In this…

Computation and Language · Computer Science 2022-11-01 Ankur Sikarwar , Arkil Patel , Navin Goyal

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

Reachability in pushdown vector addition systems with states (PVASS) is among the longest standing open problems in Theoretical Computer Science. We show that the problem is decidable in full generality. Our decision procedure is similar in…

Logic in Computer Science · Computer Science 2026-02-19 Roland Guttenberg , Eren Keskin , Roland Meyer

Markov decision processes model systems subject to nondeterministic and probabilistic uncertainty. A plethora of verification techniques addresses variations of reachability properties, such as: Is there a scheduler resolving the…

Logic in Computer Science · Computer Science 2025-05-26 Lina Gerlach , Tobias Winkler , Erika Ábrahám , Borzoo Bonakdarpour , Sebastian Junges

Reconfigurable broadcast networks (RBN) are a model of distributed computation in which agents can broadcast messages to other agents using some underlying communication topology which can change arbitrarily over the course of executions.…

Logic in Computer Science · Computer Science 2022-07-12 A. R. Balasubramanian , Lucie Guillou , Chana Weil-Kennedy

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propagate completely have natural parameters which make them…

Artificial Intelligence · Computer Science 2009-03-04 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

This paper addresses the following verification task: Given a graph transformation system and a class of initial graphs, can we guarantee (non-)reachability of a given other class of graphs that characterizes bad or erroneous states? Both…

Logic in Computer Science · Computer Science 2025-04-14 Barbara König , Arend Rensink , Lara Stoltenow , Fabian Urrigshardt

We use the reconfiguration framework to analyze problems that involve the rearrangement of items among groups. In various applications, a group of items could correspond to the files or jobs assigned to a particular machine, and the goal of…

Data Structures and Algorithms · Computer Science 2024-10-29 Jeffrey Kam , Shahin Kamali , Avery Miller , Naomi Nishimura

The reachability problem in cooperating systems is known to be PSPACE-complete. We show here that this problem remains PSPACE-complete when we restrict the communication structure between the subsystems in various ways. For this purpose we…

Computational Complexity · Computer Science 2013-12-31 Mila Majster-Cederbaum , Nils Semmelrock

Robotic manipulation with two-finger grippers is challenged by objects lacking distinct graspable features. Traditional pre-grasping methods, which typically involve repositioning objects or utilizing external aids like table edges, are…

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

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

Reachability types are a recent proposal that has shown promise in scaling to higher-order but monomorphic settings, tracking aliasing and separation on top of a substrate inspired by separation logic. The prior $\lambda^*$ reachability…

Programming Languages · Computer Science 2023-07-27 Guannan Wei , Oliver Bračevac , Songlin Jia , Yuyan Bao , Tiark Rompf

Evaluating GUI agents presents a distinct challenge: trajectories are long, visually grounded, and open-ended, yet evaluation must be both accurate and interpretable. Existing approaches typically apply a single holistic judgment over the…

Artificial Intelligence · Computer Science 2026-04-07 Yuwen Zhai , Runze Li , Liang Wang , Nian Shi , Liwu Xu , Wei Zhang , Ran Lin , Bo Xu , Benlei Cui

Vectors addition systems with states (VASS), or equivalently Petri nets, are arguably one of the most studied formalisms for the modeling and analysis of concurrent systems. A central decision problem for VASS is reachability: whether there…

Logic in Computer Science · Computer Science 2025-07-01 Clotilde Bizière , Thibault Hilaire , Jérôme Leroux , Grégoire Sutre

Complex system design often proceeds in an iterative fashion, starting from a high-level model and adding detail as the design matures. This process can be assisted by metamodeling techniques that automate some model manipulations and check…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Natasha Jarus , Sahra Sedigh Sarvestani , Ali R. Hurson

Modern cyber-physical systems are becoming increasingly complex to model, thus motivating data-driven techniques such as reinforcement learning (RL) to find appropriate control agents. However, most systems are subject to hard constraints…

Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

Answer set programming (ASP) is a popular declarative programming paradigm with a wide range of applications in artificial intelligence. Oftentimes, when modeling an AI problem with ASP, and in particular when we are interested beyond…

Artificial Intelligence · Computer Science 2021-12-15 Johannes K. Fichte , Sarah Alice Gaggl , Dominik Rusovac