wiki_research

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commit 254a640c188fa2e48d54d49b125ea354a451f3d9
parent b28d83bc9a4d786a6fb898ddaad64173d921a165
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Wed, 25 Jun 2025 18:58:42 +0200

commit with codex

Diffstat:
automatic_relation | 2++
hierarchy | 3++-
2 files changed, 4 insertions(+), 1 deletion(-)

diff --git a/automatic_relation b/automatic_relation @@ -14,6 +14,8 @@ Generalization: [deterministic_rational_relations], [rational_relations] It is an [open_problem] whether the [computational_problem] of deciding [formal_language_separation] of automatic relations by a [recognizable_relation] is a [decidable] problem +[automatic_relations_FO_definable] + Up: [automata], [relation] See also: [automatic_structure], [automatic_graph], [sequence_automatic], [post_correspondence_problem] diff --git a/hierarchy b/hierarchy @@ -3,7 +3,8 @@ - [complexity_hierarchy] - [dot_depth]: various hierarchies - [alternation_hierarchy] -- [arithmetical_hierarchy] +- [arithmetical_hierarchy], with [first_order_logic] +- [analytical_hierarchy], with [second_order_logic] - [time_hierarchy_theorem] / [space_hierarchy_theorem] - [logarithmic_time_hierarchy]