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commit 26dd5e121126a48366cc12349da7c61121e5f576
parent cf810a03816743e5f6eb03cf4509e533ea671098
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Thu, 30 Jan 2025 17:35:29 +0100

commit with codex

Diffstat:
aggregation | 2++
c2 | 2++
canonical_labeling | 4+++-
dsdnnf | 2++
finite_model_property | 11+++++++++++
homomorphism | 2++
logic | 11+++++++----
minimization_automaton | 2++
query_boolean | 4+++-
query_language | 2+-
sdnnf | 4+++-
11 files changed, 38 insertions(+), 8 deletions(-)

diff --git a/aggregation b/aggregation @@ -1,5 +1,7 @@ # Aggregation +- [queries_aggregate] + See also: [quantile], [median], [mean], [sum] Up: [database_theory] diff --git a/c2 b/c2 @@ -7,6 +7,8 @@ Does not enjoy [Craig_interpolation], according to [cate2023craig] Does not enjoy [finite_model_property] - but [satisfiability] is [decidable], cf [pratt2010two] +Turns out to be the expressive power of [Weisfeiler_Leman] + subclass: [gc2] Up: [logic] diff --git a/canonical_labeling b/canonical_labeling @@ -7,6 +7,8 @@ https://mathoverflow.net/a/11715 also called "graph canonization" -See also: [graph_isomorphism] +See also: [graph_isomorphism], [minimization_automaton] Up: [graph] + +Aliases: graph canonical labeling, graph canonization diff --git a/dsdnnf b/dsdnnf @@ -5,3 +5,5 @@ not closed under [complementation], cf [vinallsmeeth2024structured] by [harry] Up: [knowledge_compilation_classes], [ddnnf], [sdnnf] + +Aliases: dSDNNFs diff --git a/finite_model_property b/finite_model_property @@ -0,0 +1,11 @@ +# Finite model property + +A [logical_fragment] has the *finite model property* if whenever a [sentence] of this fragment has a [model] then it has a [finite_model] (of course the converse [implication] is obvious) + +Generalizations: + +- [finite_controllability] + +Up: [property] of [logical_fragment] + +Aliases: FMP diff --git a/homomorphism b/homomorphism @@ -13,3 +13,5 @@ Variants: Up: [mathematics] See also: [core] + +Aliases: homomorphisms diff --git a/logic b/logic @@ -49,11 +49,12 @@ - [craig_interpolation] - [ehrenfeucht_fraisse_game] - [fo_interpretation] -- [quantifier_rank] -- [conjunction] -- [disjunction] -- [implication] +- [boolean_connective] + - [conjunction] + - [disjunction] + - [implication] - [variable] + - [free_variable] - [negation] - [zero_one_law] - [craig_interpolation] @@ -62,7 +63,9 @@ - [monadic] - [logic_formula] - [quantifier] + - [quantifier_rank] - [logical_implication] +- [sentence] Up: [mathematics], [theoretical_computer_science] diff --git a/minimization_automaton b/minimization_automaton @@ -8,3 +8,5 @@ Up: [minimization] Aliases: minimization of automata, automata minimization, automaton minimization, minimization automata + +See also: [canonical_labeling] diff --git a/query_boolean b/query_boolean @@ -4,8 +4,10 @@ A [query] whose [query_answer] is a [Boolean]: either the query holds or it does For [queries] with [free_variables] that are [first_order], the [computational_complexity] of computing [query_answers] is often [PTIME]-equivalent to the Boolean queries obtained by considering each of the polynomially many possible answers and creating a Boolean query by insantianing these [variables] to [constants] +In [logic], this is called a [sentence] + Up: [query] Aliases: boolean query -See also: [free_variable], [query_non_boolean] +See also: [free_variable], [query_non_boolean], [sentence] diff --git a/query_language b/query_language @@ -3,7 +3,7 @@ - [conjunctive_query] - [sjfcq] - [union_of_conjunctive_queries] -- [first_order_logic] +- [first_order_logic]: [first_order_query] - [monadic_second_order_logic] ## Other formalisms diff --git a/sdnnf b/sdnnf @@ -1,5 +1,7 @@ # SDNNF -like [dnnf] but obeys [structuredness] +like [DNNFs] but [structured] Up: [knowledge_compilation_classes], [dnnf], [structuredness] + +Aliases: SDNNFs