wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
Log | Files | Refs

commit 0b56ec4f4989dc386cae015d01cb2a59ee102a82
parent 2d3b9848dc9a9351f307887834801dfae0b17a4c
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Thu, 30 Apr 2026 12:26:23 +0200

Merge remote-tracking branch 'origin/master'

Diffstat:
cut_and_paste_updates | 1+
database_dependency | 2++
database_repairs | 2+-
decidable_fo_fragments | 2++
decidable_fo_fragments_finite | 14++++++++++++++
finite_satisfiability_fo | 11+++++++++++
guarded_fixpoint_logic | 7+++++++
reachability | 2+-
regular_language_dichotomies | 4+++-
satisfiability | 2++
satisfiability_finite | 3++-
shortest_path | 1+
structuredness | 2++
13 files changed, 49 insertions(+), 4 deletions(-)

diff --git a/cut_and_paste_updates b/cut_and_paste_updates @@ -2,5 +2,6 @@ - [split_update] - [concatenation_update] +- [enumeration_cut_and_paste_updates] Up: [update_word] diff --git a/database_dependency b/database_dependency @@ -29,3 +29,5 @@ An [implication] in [first_order_logic] with [universal_quantifiers] and with a Up: [integrity_constraint] Aliases: dependencies, dependency, database dependencies + +See also: [reasoning_rules] diff --git a/database_repairs b/database_repairs @@ -13,4 +13,4 @@ Up: [database_theory] See also: [language_repair], [graph_modification], [query_repairs], [data_cleaning] -Aliases: database repair +Aliases: database repair, data repair, data repairs diff --git a/decidable_fo_fragments b/decidable_fo_fragments @@ -8,6 +8,8 @@ cf survey [hustadt2004survey] - [guarded_fragment], cf [guarded_fragment_satisfiability] - [FO2], cf [FO2_satisfiability] +Also: [decidable_fo_fragments_finite] + Up: [FO_fragments], [satisfiability_FO] Aliases: decidable FO fragment diff --git a/decidable_fo_fragments_finite b/decidable_fo_fragments_finite @@ -0,0 +1,14 @@ +# Decidable FO fragments finite + +[FO_fragments] for which [satisfiability_FO_finite] is [decidable] + +Question here: https://cstheory.stackexchange.com/questions/57103/decidable-fragments-of-first-order-logic-over-finite-structures + +List: + +- [decidable_fo_fragments] enjoying the [finite_model_property] +- [C2] +- [muGF] +- [fluted_fragment] with one [transitive_relation], cf [pratt2022fluted] + +Up: [decidable_fo_fragments] diff --git a/finite_satisfiability_fo b/finite_satisfiability_fo @@ -0,0 +1,11 @@ +# Finite satisfiability FO + +The [computational_problem] of deciding whether an input [FO] formula is [finitely_satisfiable] + +- [decidable_FO_fragments_finite] + +See also: [satisfiability_fo] + +Aliases: FO satisfiability finite, satisfiability FO finite + +Up: [finite_satisfiability], [FO] diff --git a/guarded_fixpoint_logic b/guarded_fixpoint_logic @@ -0,0 +1,7 @@ +# Guarded fixpoint logic + +Does not have the [finite_model_property], see [barany2012finite] + +Up: [guarded_fragment], [fixpoint] + +Aliases: muGF diff --git a/reachability b/reachability @@ -8,4 +8,4 @@ Up: [computational_problem], [graph_theory] -Aliases: reachability problem +Aliases: reachability problem, reachability problems diff --git a/regular_language_dichotomies b/regular_language_dichotomies @@ -9,6 +9,8 @@ - [bagan2020trichotomy] about [simple_path_trichotomy] - [martens2023trichotomy] about [trail_trichotomy] +- [amarilli2026out] about [out_of_order_membership] + Up: [regular_language], [dichotomy] -See also: [trichotomy] +See also: [trichotomy], [query_stratification] diff --git a/satisfiability b/satisfiability @@ -13,3 +13,5 @@ Tools: [sat_solver] See also: [strong_exponential_time_hypothesis], [satisfiability_boolean], [tautology], [automaton_emptiness], [satisfiability_modulo_theory], [equisatisfiability], [enumeration_valuations], [satisfiability_finite] Up: [computational_problem] + +Aliases: satisfiable diff --git a/satisfiability_finite b/satisfiability_finite @@ -4,7 +4,8 @@ Like [satisfiability] but deciding whether a [logic_formula] has a [finite_model - [finite_model_property] - [finite_controllability] +- [finite_satisfiability_FO] Up: [satisfiability] -Aliases: finite satisfiability, finsat +Aliases: finite satisfiability, finsat, finitely satisfiable diff --git a/shortest_path b/shortest_path @@ -15,6 +15,7 @@ Related: Variants: - [shortest_path_almost] +- [algebraic_path_problem] [shortest_path_algorithm] diff --git a/structuredness b/structuredness @@ -4,6 +4,8 @@ A [Boolean_circuit] in [DNNF] that has a [vtree] - [circuit_restructuring] +- [circuit_structuredness_detecting] + [Circuit_classes]: - [dSDNNFs]