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commit 45912a9fcde25b5b14eec3514b9901180163bd0e
parent 467551373fbee6ede51492952be990ab6c0c4956
Author: Antoine Amarilli <a3nm@a3nm.net>
Date:   Wed, 27 May 2026 11:55:28 +0200

commit with codex

Diffstat:
automata_alternating | 2+-
automata_reversible | 2+-
bayes_network | 2++
circuit_algebraic | 2++
graph_packing | 2++
guarded_fixpoint_logic | 2++
probabilistic_graphical_model | 1+
satisfiability_weighted_ddnnf_negation | 15++++++++++++---
sharp_nfa | 2++
st_reliability | 4+++-
tree_automaton | 3+++
11 files changed, 31 insertions(+), 6 deletions(-)

diff --git a/automata_alternating b/automata_alternating @@ -12,4 +12,4 @@ Up: [automata_types] Aliases: alternating automaton, alternating automata -See also: [alternating_turing_machine] +See also: [alternating_turing_machine], [tree_automata_alternating] diff --git a/automata_reversible b/automata_reversible @@ -11,6 +11,6 @@ Class of [formal_language] accepted by a reversible automaton - membership given an [automata] can be tested in [ptime] - [pin1992reversible] -See also: [turing_machine_symmetric], [automata_symmetric], [transducer_reversible] +See also: [turing_machine_symmetric], [automata_symmetric], [transducer_reversible], [circuit_reversible] Up: [word_automaton] diff --git a/bayes_network b/bayes_network @@ -7,3 +7,5 @@ Can be "tree-structured Bayes network", or have bounded [treewidth] Up: [probabilistic_graphical_model] See also: [message_passing], [treewidth] + +Aliases: bayesian network, bayesian networks, bayes networks diff --git a/circuit_algebraic b/circuit_algebraic @@ -5,3 +5,5 @@ Up: [probabilistic_circuit], [algebra] Aliases: algebraic circuit, algebraic circuits + +See also: [algebraic_decision_diagram] diff --git a/graph_packing b/graph_packing @@ -12,6 +12,8 @@ Can be with [induced_subgraphs] (a "strict factor") [kirkpatrick1983complexity]: the packing problem with [induced_subgraphs] when the [graph] to pack has at least 3 vertices is [NP_complete] +[hell1986packings], includes packings by [stars] + Up: [computational_problem] on [graph] See also: [packing_problem], [graph_partition], [path_cover], [path_partition] diff --git a/guarded_fixpoint_logic b/guarded_fixpoint_logic @@ -2,6 +2,8 @@ Does not have the [finite_model_property], see [barany2012finite] +Generalizations: [GNFP] + Up: [guarded_fragment], [fixpoint] Aliases: muGF diff --git a/probabilistic_graphical_model b/probabilistic_graphical_model @@ -1,6 +1,7 @@ # Probabilistic graphical model - [bayes_network] +- [markov_network] - [markov_logic_network] - [sum_product_network] diff --git a/satisfiability_weighted_ddnnf_negation b/satisfiability_weighted_ddnnf_negation @@ -1,10 +1,19 @@ # Satisfiability weighted ddnnf negation -The [computational_problem] of deciding whether a [dDNNF] has a [falsifying_assigment] of a given weight? +The [computational_problem] of deciding whether a [dDNNF] has a [falsifying_assigment] of at least a given weight +- weight is given as a weight on each literal +- up to renormalization, up to negation + - 0 has weight 0 + - 1 has positive weight -Already challenging for [orthogonal_DNF], cf [satisfiability_weighted_orthogonal_DNF_negation] +In the absence of weight this is [satisfiability_dnnnf_negation] which can be done thanks to [counting] + +It is tractable when weights are written in [unary], by [dynamic programming]: we know how many assignments there are of each weight, and how many satisfying assignments there are on each weight -But tractable when weights are written in [unary] +We can do [satisfiability_weighted_ddnnf] of deciding whether there is an assignment of at least this weight, by storing the maximum weight +- of course exact weight is [NP_hard] by reduction from [subset_sum] + +Already challenging for [orthogonal_DNF], cf [satisfiability_weighted_orthogonal_DNF_negation] Related to [ddnnf_complementation] diff --git a/sharp_nfa b/sharp_nfa @@ -17,3 +17,5 @@ Up: [sharp_automaton], [automata_nondeterministic] See also: [sharp_dfa], [sharp_cfg] + +Aliases: sharpNFA diff --git a/st_reliability b/st_reliability @@ -2,7 +2,9 @@ The case of [network_reliability] with a fixed source and target -Can be posed on [directed_graphs] and [undirected_graphs] +Can be posed: +- on [directed_graphs]: [st_reliability_directed] +- on [undirected_graphs]: [st_reliability_undirected] - [st_reliability_approximation] - [st_reliability_provenance] diff --git a/tree_automaton b/tree_automaton @@ -9,6 +9,9 @@ Defines [regular_tree_language] - [tree_automaton_top_down] - [tree_automaton_deterministic] - [tree_automaton_nondeterministic] +- [tree_automaton_two_way] +- [tree_automaton_alternating] +- [tree_automaton_two_way_alternating] ## Variants