Title
The Reachability Problem for Two-Dimensional Vector Addition Systems with States
Abstract
AbstractWe prove that the reachability problem for two-dimensional vector addition systems with states is NL-complete or PSPACE-complete, depending on whether the numbers in the input are encoded in unary or binary. As a key underlying technical result, we show that, if a configuration is reachable, then there exists a witnessing path whose sequence of transitions is contained in a bounded language defined by a regular expression of pseudo-polynomially bounded length. This, in turn, enables us to prove that the lengths of minimal reachability witnesses are pseudo-polynomially bounded.
Year
DOI
Venue
2021
10.1145/3464794
Journal of the ACM
Keywords
DocType
Volume
Vector addition systems with states, Petri nets, semi-linear sets, linear path schemes, reachability
Journal
68
Issue
ISSN
Citations 
5
0004-5411
0
PageRank 
References 
Authors
0.34
0
8
Name
Order
Citations
PageRank
Michael Blondin1279.06
Matthias Englert226618.69
Alain Finkel300.34
Stefan Göller400.34
Christoph Haase501.01
Ranko Lazic630623.95
Pierre McKenzie718815.94
Patrick Totzke8388.52