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commit 98882fc207c2f2f6d1f1010759213f9bc85b9d12
parent 04e334bd126411e1c37b79c71a43ddd7e54531a7
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Wed, 18 Mar 2026 16:22:35 +0100

commit with codex

Diffstat:
completely_reachable_automata | 9+++++++++
first_order_interpretation | 2+-
reachability | 1+
regular_language_polyslender | 7+++++++
vector_addition_system | 10++++++++--
5 files changed, 26 insertions(+), 3 deletions(-)

diff --git a/completely_reachable_automata b/completely_reachable_automata @@ -0,0 +1,9 @@ +# Completely reachable automata + +An [automaton] where every nonempty subset of states can be achieved by applying some word on the set of all states + +See [ferens2026recognizing] + +See also: [cerny_conjecture] + +Up: [automata] diff --git a/first_order_interpretation b/first_order_interpretation @@ -15,4 +15,4 @@ Up: [logic_interpretation], [FO] Aliases: FO interpretation, FO reduction -See also: [FO_projection] +See also: [FO_projection], [MSO_interpretation] diff --git a/reachability b/reachability @@ -4,6 +4,7 @@ - [st_reachability_undirected] - [reachability_single_source] - [reachability_all_pairs] +- [VASS_reachability] Up: [computational_problem], [graph_theory] diff --git a/regular_language_polyslender b/regular_language_polyslender @@ -0,0 +1,7 @@ +# Regular language polyslender + +A [regular_language] which is [language_polyslender] + +See [szilard1992characterizing] and [mathematical_foundations_of_automata_theory] Chapitre XII Section 4.2 + +Up: [language_polyslender] diff --git a/vector_addition_system b/vector_addition_system @@ -13,12 +13,16 @@ Generalizations: - [vector_addition_system_pushdown] - [vector_addition_system_nested] -Complexity of the [reachability] problem: [ackermann_function] +Complexity of the [VASS_reachability] problem: [ackermann_function] - https://www.quantamagazine.org/an-easy-sounding-problem-yields-numbers-too-big-for-our-universe-20231204/ -- apparently still open when [dimension] is constant +- known to be [ackermann_complete] +- the reachable sets are [almost_semi_linear] +- complexity apparently still open when [dimension] is constant two-dimensional VAS with one test on counters, like [counter_automata]: [leroux2020reachability] +They correspond to [Minsky_machines] but without zero tests + Restrictions: - [1_VASS], with only one counter @@ -27,3 +31,5 @@ Restrictions: Up: [automata] See also: [counter_automata] + +Aliases: vector addition systems, VAS, VASes, VASS, VASSes