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 …

Language inclusion for boundedly-ambiguous vector addition systems is decidable

W Czerwiński, P Hofman - arxiv preprint arxiv:2202.08033, 2022 - arxiv.org
We consider the problems of language inclusion and language equivalence for Vector
Addition Systems with States (VASSes) with the acceptance condition defined by the set of …

Algorithmic aspects of WQO theory

S Schmitz, P Schnoebelen - 2012 - cel.hal.science
Well-quasi-orderings (wqos)(Kruskal, 1972) are a fundamental tool in logic and computer
science. ey provide termination arguments in a large number of decidability (or finiteness …

[PDF][PDF] On History-Deterministic One-Counter Nets.

A Prakash, KS Thejaswini - FoSSaCS, 2023 - library.oapen.org
We consider the model of history-deterministic one-counter nets (OCNs). History-
determinism is a property of transition systems that allows for a limited kind of non …

Dimension-minimality and primality of counter nets

S Almagor, G Avni, H Sinclair-Banks… - … on Foundations of …, 2024 - Springer
A k-Counter Net (k-CN) is a finite-state automaton equipped with k integer counters that are
not allowed to become negative, but do not have explicit zero tests. This language …

Two-Way One-Counter Nets Revisited

S Almagor, M Cadilhac, A Yeshurun - arxiv preprint arxiv:2410.22845, 2024 - arxiv.org
One Counter Nets (OCNs) are finite-state automata equipped with a counter that cannot
become negative, but cannot be explicitly tested for zero. Their close connection to various …

On büchi one-counter automata

S Böhm, S Göller, S Halfon… - 34th Symposium on …, 2017 - drops.dagstuhl.de
Equivalence of deterministic pushdown automata is a famous problem in theoretical
computer science whose decidability has been shown by Sénizergues. Our first result shows …

Universality problem for unambiguous VASS

W Czerwiński, D Figueira, P Hofman - arxiv preprint arxiv:2007.10907, 2020 - arxiv.org
We study languages of unambiguous VASS, that is, Vector Addition Systems with States,
whose transitions read letters from a finite alphabet, and whose acceptance condition is …

Verification for Timed Automata extended with Unbounded Discrete Data Structures

K Quaas - Logical Methods in Computer Science, 2015 - lmcs.episciences.org
We study decidability of verification problems for timed automata extended with unbounded
discrete data structures. More detailed, we extend timed automata with a pushdown stack. In …

Coverability, Termination, and Finiteness in Recursive Petri Nets

A Finkel, S Haddad, I Khmelnitsky - Fundamenta Informaticae, 2021 - content.iospress.com
In the early two-thousands, Recursive Petri nets have been introduced in order to model
distributed planning of multi-agent systems for which counters and recursivity were …