Publication

On Depth-bounded Message Passing Systems

2009
Reports

Abstract

We explore the border between decidability and undecidability of verification problems related to message passing systems that admit unbounded creation of threads and name mobility. Inspired by use cases in real-life programs we introduce the notion of depth-bounded message passing systems. A configuration of a message passing system can be represented as a graph. In a depth-bounded system the length of the longest acyclic path in each reachable configuration is bounded by a constant. While the general reachability problem for depth-bounded systems is undecidable, we prove that control reachability is decidable. In our decidability proof we show that depth-bounded systems are well-structured transition systems to which a forward algorithm for the covering problem can be applied.

Official source

https://infoscience.epfl.ch/entities/publication/97b1af85-136e-427f-9ea5-0b256ef9402b

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2009
Reports

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/97b1af85-136e-427f-9ea5-0b256ef9402b

About this result

Related concepts (32)

Longest path problem

In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph. A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges. In contrast to the shortest path problem, which can be solved in polynomial time in graphs without negative-weight cycles, the longest path problem is NP-hard and the decision version of the problem, which asks whether a path exists of at least some given length, is NP-complete.

Directed acyclic graph

In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it consists of vertices and edges (also called arcs), with each edge directed from one vertex to another, such that following those directions will never form a closed loop. A directed graph is a DAG if and only if it can be topologically ordered, by arranging the vertices as a linear ordering that is consistent with all edge directions.

Shortest path problem

In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs, where the vertices correspond to intersections and the edges correspond to road segments, each weighted by the length of the segment.

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