Reachability in vector addition systems is Ackermann-complete

W Czerwiński, Ł Orlikowski - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
Vector Addition Systems and equivalent Petri nets are a well established models of
concurrency. The central algorithmic problem for Vector Addition Systems with a long …

The reachability problem for Petri nets is not primitive recursive

J Leroux - 2021 IEEE 62nd Annual Symposium on …, 2022 - ieeexplore.ieee.org
The Reachability Problem for Petri Nets is Not Primitive Recursive Page 1 The Reachability
Problem for Petri Nets is Not Primitive Recursive Jérôme Leroux Univ. Bordeaux, CNRS …

The reachability problem for Petri nets is not elementary

W Czerwiński, S Lasota, R Lazić, J Leroux… - Journal of the ACM …, 2020 - dl.acm.org
Petri nets, also known as vector addition systems, are a long established model of
concurrency with extensive applications in modeling and analysis of hardware, software …

Reachability in vector addition systems is primitive-recursive in fixed dimension

J Leroux, S Schmitz - 2019 34th Annual ACM/IEEE Symposium …, 2019 - ieeexplore.ieee.org
The reachability problem in vector addition systems is a central question, not only for the
static verification of these systems, but also for many inter-reducible decision problems …

Complexity hierarchies beyond elementary

S Schmitz - ACM Transactions on Computation Theory (TOCT), 2016 - dl.acm.org
We introduce a hierarchy of fast-growing complexity classes and show its suitability for
completeness statements of many nonelementary problems. This hierarchy allows the …

Open petri nets

JC Baez, J Master - Mathematical Structures in Computer Science, 2020 - cambridge.org
The reachability semantics for Petri nets can be studied using open Petri nets. For us, an
“open” Petri net is one with certain places designated as inputs and outputs via a cospan of …

Verification of population protocols

J Esparza, P Ganty, J Leroux, R Majumdar - Acta Informatica, 2017 - Springer
Population protocols (Angluin et al. in PODC, 2004) are a formal model of sensor networks
consisting of identical mobile devices. Two devices can interact and thereby change their …

[PDF][PDF] Unboundedness Problems for Machines with Reversal-Bounded Counters.

P Baumann, F D'Alessandro, M Ganardi, OH Ibarra… - FoSSaCS, 2023 - library.oapen.org
We consider a general class of decision problems concerning formal languages, called
“(one-dimensional) unboundedness predicates”, for automata that feature reversal-bounded …

Approaching the coverability problem continuously

M Blondin, A Finkel, C Haase, S Haddad - … on Tools and Algorithms for the …, 2016 - Springer
The coverability problem for Petri nets plays a central role in the verification of concurrent
shared-memory programs. However, its high EXPSPACE-complete complexity poses a …

Improved Ackermannian lower bound for the Petri nets reachability problem

S Lasota - arXiv preprint arXiv:2105.08551, 2021 - arxiv.org
Petri nets, equivalently presentable as vector addition systems with states, are an
established model of concurrency with widespread applications. The reachability problem …