5 papers
3-VASS Reachability is in EXPSPACE
Weijun Chen, Bo Fu, Yuxi Fu +4
A VASS can be viewed as a finite-state automaton manipulating a fixed number (called its dimension) of counters holding non-negative values. The reachability problem, asking whethe…
Exploring VASS Parameterised by Geometric Dimension
Wojciech Czerwiński, Roland Guttenberg, Łukasz Orlikowski +2
The geometric dimension of a Vector Addition System with States (VASS) is the dimension of the vector space generated by cycles in the VASS; this parameter refines the standard…
Reachability in Geometrically -Dimensional VASS
Yuxi Fu, Yangluo Zheng, Qizhe Yang
Reachability of vector addition systems with states (VASS) is Ackermann complete~\cite{leroux2021reachability,czerwinski2021reachability}. For -dimensional VASS reachability it…
Reachability in Vector Addition System with States Parameterized by Geometric Dimension
Yangluo Zheng
The geometric dimension of a Vector Addition System with States (VASS), emerged in Leroux and Schmitz (2019) and formalized by Fu, Yang, and Zheng (2024), quantifies the dimension…
Improved Algorithm for Reachability in -VASS
Yuxi Fu, Qizhe Yang, Yangluo Zheng
An upper bound for the reachability problem in vector addition systems with states (VASS) in fixed dimension is given, where is the -th level of…