Safety in Graphs: Difference between revisions
(Created page with "{{DISPLAYTITLE:Safety in Graphs (Model-Checking Problem)}} == Description == Given a model of a system and an objective, the model-checking problem asks whether the model satisfies the objective. In this case, the model is a standard graph, and the objective is safety: given a set of target vertices $T\subseteq V$, determine whether or not there is a path that does not visit any vertex in $T$ (i.e. you want to avoid all vertices in $T$). == Related Problems == Subp...") |
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== Parameters == | == Parameters == | ||
n: number of vertices | |||
m: number of edges | m: number of edges | ||
MEC: O(\min(n^2, m^{1.5})) | |||
MEC: O(\min(n^2, m^{1.5})) | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Currently no algorithms in our database for the given problem. | Currently no algorithms in our database for the given problem. | ||
Revision as of 12:04, 15 February 2023
Description
Given a model of a system and an objective, the model-checking problem asks whether the model satisfies the objective.
In this case, the model is a standard graph, and the objective is safety: given a set of target vertices $T\subseteq V$, determine whether or not there is a path that does not visit any vertex in $T$ (i.e. you want to avoid all vertices in $T$).
Related Problems
Subproblem: Safety in MDPs, Disjunctive Queries of Safety in Graphs
Related: Reachability in MDPs, Disjunctive Reachability Queries in MDPs, Conjunctive Reachability Queries in MDPs, Disjunctive Safety Queries in MDPs, Conjunctive Safety Queries in MDPs, Disjunctive Queries of Safety in Graphs, Disjunctive coBüchi Objectives, Generalized Büchi Games
Parameters
n: number of vertices
m: number of edges
MEC: O(\min(n^2, m^{1.5}))
Table of Algorithms
Currently no algorithms in our database for the given problem.