Context-bounded verification of context-free specifications

P Baumann, M Ganardi, R Majumdar… - Proceedings of the …, 2023 - dl.acm.org
A fundamental problem in refinement verification is to check that the language of behaviors
of an implementation is included in the language of the specification. We consider the …

Lower bounds for the reachability problem in fixed dimensional vasses

W Czerwinski, L Orlikowski - Proceedings of the 37th Annual ACM/IEEE …, 2022 - dl.acm.org
We study the complexity of the reachability problem for Vector Addition Systems with States
(VASSes) in fixed dimensions. We provide four lower bounds improving the currently known …

Reachability in restricted chemical reaction networks

RM Alaniz, B Fu, T Gomez, E Grizzell… - arXiv preprint arXiv …, 2022 - arxiv.org
The popularity of molecular computation has given rise to several models of abstraction, one
of the more recent ones being Chemical Reaction Networks (CRNs). These are equivalent …

Coverability in VASS Revisited: Improving Rackoff's Bound to Obtain Conditional Optimality

M Künnemann, F Mazowiecki, L Schütze… - arXiv preprint arXiv …, 2023 - arxiv.org
Seminal results establish that the coverability problem for Vector Addition Systems with
States (VASS) is in EXPSPACE (Rackoff,'78) and is EXPSPACE-hard already under unary …

The Tractability Border of Reachability in Simple Vector Addition Systems with States

D Chistikov, W Czerwiński… - 2024 IEEE 65th …, 2024 - ieeexplore.ieee.org
Vector Addition Systems with States (VASS), equiv-alent to Petri nets, are a well-established
model of concurrency. A d-VASS can be seen as directed graph whose edges are labelled …

Regular Separability in B\"{u} chi VASS

P Baumann, R Meyer, G Zetzsche - arXiv preprint arXiv:2301.11242, 2023 - arxiv.org
We study the ($\omega $-) regular separability problem for B\" uchi VASS languages: Given
two B\" uchi VASS with languages $ L_1 $ and $ L_2 $, check whether there is a regular …

Coverability in 2-VASS with One Unary Counter is in NP

F Mazowiecki, H Sinclair-Banks… - … on Foundations of …, 2023 - Springer
Coverability in Petri nets finds applications in verification of safety properties of reactive
systems. We study coverability in the equivalent model: Vector Addition Systems with States …

The geometry of reachability in continuous vector addition systems with states

S Almagor, A Ghosh, T Leys, GA Pérez - arXiv preprint arXiv:2210.00785, 2022 - arxiv.org
We study the geometry of reachability sets of continuous vector addition systems with states
(VASS). In particular we establish that they are almost Minkowski sums of convex cones and …

[PDF][PDF] On the Existential Arithmetics with Addition and Bitwise Minimum.

MR Starchak - FoSSaCS, 2023 - library.oapen.org
This paper presents a similar approach for existential firstorder characterizations of the
languages recognizable by finite automata, by Parikh automata, and by multi-counter …

Invariants for One-Counter Automata with Disequality Tests

D Chistikov, J Leroux, H Sinclair-Banks… - arXiv preprint arXiv …, 2024 - arxiv.org
We study the reachability problem for one-counter automata in which transitions can carry
disequality tests. A disequality test is a guard that prohibits a specified counter value. This …