Reachability problem

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August undefined, 2024

Webputational complexity of the reachability problem for VAS remains one of the most well-known open questions in theoretical computer science. While decidability was still unknown, Lipton made initial progress on the problem by showing it ExpSpace-hard [12], which is still the highest known lower bound. A few years later, Mayr showed the prob- WebMar 3, 2024 · Among various graph research fields, reachability problem is the fundamental problem, which answers the problem of whether there exists a path between two nodes in a graph. However, the classic reachability only considers static graphs, whose edges do not have a time constraint.

Reachability Definition & Meaning YourDictionary

http://cse.lab.imtlucca.it/~bemporad/teaching/ac/pdf/05a-reachability.pdf WebJan 14, 2024 · Abstract We consider the problem of safety verification, formalized as control-state reachability, for concurrent programs running on the Power architecture. Our main result shows that safety verification under Power is undecidable for programs with just two threads. Download conference paper PDF 1 Introduction bis beaver industrial supply

What does reachability mean? - Definitions.net

WebAbstract An algorithm is presented for the general Petri net reachability problem. It is based on a generalization of the basic reachability tree construction which is made symmetric with respect to the initial and final marking. WebA wireless sensor network (WSN) is emerging as an innovative method for gathering information that will significantly improve the reliability and efficiency of infrastructure systems. Broadcast is a common method to disseminate information in WSNs. A variety of counter-based broadcast schemes have been proposed to mitigate the broadcast-storm … Reachability is a fundamental problem that appears in several different contexts: finite- and infinite-state concurrent systems, computational models like cellular automata and Petri nets, program analysis, discrete and continuous systems, time critical systems, hybrid systems, rewriting systems, probabilistic … See more Finite explicit graph The reachability problem in an oriented graph described explicitly is NL-complete. Reingold, in a 2008 article, proved that the reachability problem for a non-oriented graph is in LOGSPACE. See more The International Conference on Reachability Problems series, previously known as Workshop on Reachability Problems, is an annual academic conference which … See more dark blue farrow and ball

The Set Constraint/CFL Reachability Connection in Practice

WebGiven two families of sets and , the separability problem for asks whether for two given sets there exists a set , such that is included in and is disjoint with . We consider two families of sets : modular sets … WebLecture: Reachability Analysis Reachability Analysis Minimum-energy control The problem is equivalent to ﬁnding the solution U of the system of equations X =RkU with minimum … dark blue fashionWebIn general, the all-pairs CFL-reachability problem can be solved in time O(jT [ Nj 3n ) for a graph with n nodes. Figure 2 shows an example of a Dyck-CFL reachability problem. The dashed lines show the edges added by the computation of closure(G). The edges show that there are S-paths between nodes x1 and z1, and x2 and z2. Self-loop dark blue eyes with green and gray

"WebMar 3, 2024 · Although the reachability is a fundamental problem for the graph dataset, few efforts has been conducted at the reachability problem for a temporal graph. Due to the … " - Reachability problem

Reachability problem

WebDec 4, 2009 · We consider the problem of reachability and characterise a public (that is, restriction-free) fragment for which it is decidable. This fragment is obtained by removing … WebThe question of reachability revolves about what can be accomplished using admissible inputs. Problems of observability focus on what can be done with system outputs. More precisely, each state x ∈ X of a system generates a certain output via the system output map where Γ is the output set.

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WebMay 20, 2024 · Reachability analysis can also be used as a primitive step for reasoning about more complex liveness properties. Therefore, the question of decidability of … Webmore general problem: CFL-reachability. A CFL-reachability problem is not an ordinary reachability problem (e.g., transitive closure), but one in which a path is considered to connect two nodes only if the concatenation of the labels on the edges of the path is a word in a particular context-freelanguage: Deﬁnition2.1.

Webcontrol problem. Both methods solve the problem accurately, but are computationally intensive and do no appear amenable to real-time implementation for all but the simplest cases. In this work, we leverage machine learning techniques to devise query-based algorithms for the approximate, yet real-time solution of the reachability problem. WebMay 6, 2024 · Reachability Analysis of Deep Neural Networks with Provable Guarantees. Verifying correctness of deep neural networks (DNNs) is challenging. We study a generic reachability problem for feed-forward DNNs which, for a given set of inputs to the network and a Lipschitz-continuous function over its outputs, computes the lower and upper …

Webputational complexity of the reachability problem for VAS remains one of the most well-known open questions in theoretical computer science. While decidability was still … WebOct 1, 2024 · We consider the problem of reachability on One-Counter Systems (OCSs) and Pushdown Systems (PDSs). The problem has a well-known O (n 3) bound on both models, …

WebSep 3, 2024 · Reachability from an Arbitrary Initial State; Controllability versus Reachability; In previous lectures we have examined solutions of state-space models, the stability of …

WebAug 30, 2024 · In such a graph, temporal reachability of one node from another is naturally captured by the existence of a temporal path where edges appear in chronological order. Inspired by the optimization of bus/metro/tramway schedules in a public transport network, we consider the problem of turning a collection of walks (called trips) in a directed ... dark blue felicity dinner plateWebproblems of BCNs with state-ﬂipped control have been carried out [3]–[5]. However, [2]–[5] only consider one-time ﬂipping, ... is worth noting that our approach is valid for the … bisbee 1000 stair climbWebOct 31, 2024 · In this section, we first propose the formal definitions of the multi-properties objective reachability problem (MPOR) and the multi-objective sets reachability problem (MOSR) over FKS based on fuzzy logic, and then prove that an MPOR can be reduced to an MOSR in polynomial time. dark blue feature wall bedroomWebMay 3, 2024 · Fully Dynamic Single-Source Reachability in Practice: An Experimental Study. Given a directed graph and a source vertex, the fully dynamic single-source reachability problem is to maintain the set of vertices that are reachable from the given vertex, subject to edge deletions and insertions. It is one of the most fundamental problems on graphs ... bis beastmaster wowIn graph theory, reachability refers to the ability to get from one vertex to another within a graph. A vertex can reach a vertex (and is reachable from ) if there exists a sequence of adjacent vertices (i.e. a walk) which starts with and ends with . In an undirected graph, reachability between all pairs of vertices can be determined by identifying the connected components of the graph. Any pair of vertices in such a graph can reach each other if … dark blue family roomWebJun 13, 2024 · The reachability problems and shortest-path problems have been extensively studied not only for general graphs but also for special classes of graphs; directed planar graphs , Euclidean spanners [9, 19], and disk-intersection graphs [3, 5]. In the following, we introduce several results for transmission graphs of disks in the plane. bisbee 1000 stair climb 2022WebJun 23, 2024 · Firstly, it shows that the reachability problem is much harder than the coverability (i.e., state reachability) problem, which is also ubiquitous but has been known to be complete for exponential space since the late 1970s. dark blue feature wall living room