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src/dynamic_knowledge_graph.erl

-module(dynamic_knowledge_graph).
-behaviour(gen_server).
%% Dynamic Knowledge Graph System
%% Advanced knowledge representation system that dynamically constructs,
%% explores, and reasons over knowledge graphs. Supports:
%% - Dynamic node and edge creation/modification
%% - Multi-modal knowledge representation (concepts, relations, abstractions)
%% - Graph exploration algorithms and path finding
%% - Knowledge inference and reasoning
%% - Concept emergence and abstraction formation
%% - Semantic similarity and clustering
%% - Knowledge graph visualization and analysis
-export([start_link/1,
% Core graph operations
add_node/3, add_edge/4, remove_node/2, remove_edge/3,
get_node/2, get_edges_from/2, get_edges_to/2,
% Knowledge operations
add_concept/3, add_relation/4, add_fact/3, add_abstraction/3,
query_knowledge/2, infer_knowledge/2, validate_knowledge/2,
% Exploration and discovery
explore_neighborhood/3, find_paths/4, discover_patterns/2,
suggest_connections/2, identify_clusters/2, detect_anomalies/2,
% Reasoning and inference
perform_reasoning/3, generate_hypotheses/2, validate_hypothesis/3,
causal_reasoning/3, analogical_reasoning/3, deductive_reasoning/3,
% Graph analysis
analyze_graph_structure/1, calculate_centrality/2, find_communities/2,
measure_semantic_similarity/3, compute_graph_metrics/1,
% Learning and adaptation
learn_from_interaction/3, adapt_structure/2, evolve_concepts/2,
consolidate_knowledge/1, prune_redundant_knowledge/1]).
-export([init/1, handle_call/3, handle_cast/2, handle_info/2,
terminate/2, code_change/3]).
%% Knowledge representation structures
-record(knowledge_node, {
id, % Unique node identifier
type, % Node type (concept, entity, abstraction, etc.)
properties = #{}, % Node properties and attributes
content, % Main content or representation
confidence = 1.0, % Confidence level (0-1)
creation_time, % When node was created
last_accessed, % Last access timestamp
access_count = 0, % Number of times accessed
source, % Source of this knowledge
tags = [], % Semantic tags
metadata = #{} % Additional metadata
}).
-record(knowledge_edge, {
id, % Unique edge identifier
from_node, % Source node ID
to_node, % Target node ID
relation_type, % Type of relationship
properties = #{}, % Edge properties
weight = 1.0, % Edge weight/strength
confidence = 1.0, % Confidence in this relation
bidirectional = false, % Whether edge is bidirectional
creation_time, % When edge was created
source, % Source of this relation
evidence = [], % Supporting evidence
metadata = #{} % Additional metadata
}).
-record(knowledge_pattern, {
id, % Pattern identifier
pattern_type, % Type of pattern (sequence, structure, etc.)
nodes = [], % Nodes involved in pattern
edges = [], % Edges involved in pattern
frequency = 1, % How often pattern occurs
confidence = 1.0, % Confidence in pattern
generalization_level = 0, % Level of abstraction
examples = [], % Concrete examples of pattern
exceptions = [], % Known exceptions to pattern
metadata = #{} % Additional pattern metadata
}).
-record(knowledge_abstraction, {
id, % Abstraction identifier
abstraction_type, % Type of abstraction
concrete_instances = [], % Specific instances this abstracts
abstract_properties = #{}, % Properties at abstract level
abstraction_level = 1, % Level in abstraction hierarchy
generalization_rules = [], % Rules for generalization
specialization_rules = [], % Rules for specialization
confidence = 1.0, % Confidence in abstraction
metadata = #{} % Additional metadata
}).
-record(graph_state, {
agent_id, % Associated agent
nodes = #{}, % Map of node_id -> knowledge_node
edges = #{}, % Map of edge_id -> knowledge_edge
node_index = #{}, % Various indices for fast lookup
edge_index = #{}, % Edge indices
patterns = #{}, % Discovered patterns
abstractions = #{}, % Formed abstractions
inference_rules = [], % Rules for inference
exploration_history = [], % History of explorations
reasoning_cache = #{}, % Cache for reasoning results
graph_metrics = #{}, % Cached graph metrics
learning_parameters = #{}, % Parameters for learning
evolution_history = [] % History of graph evolution
}).
%%====================================================================
%% API functions
%%====================================================================
start_link(Config) ->
AgentId = maps:get(agent_id, Config, generate_graph_id()),
io:format("[KNOWLEDGE_GRAPH] Starting dynamic knowledge graph for agent ~p~n", [AgentId]),
gen_server:start_link(?MODULE, [AgentId, Config], []).
%% Core graph operations
add_node(GraphPid, NodeId, NodeData) ->
gen_server:call(GraphPid, {add_node, NodeId, NodeData}).
add_edge(GraphPid, EdgeId, FromNode, ToNode) ->
gen_server:call(GraphPid, {add_edge, EdgeId, FromNode, ToNode}).
remove_node(GraphPid, NodeId) ->
gen_server:call(GraphPid, {remove_node, NodeId}).
remove_edge(GraphPid, EdgeId) ->
gen_server:call(GraphPid, {remove_edge, EdgeId}).
remove_edge(GraphPid, FromNodeId, ToNodeId) ->
gen_server:call(GraphPid, {remove_edge_between, FromNodeId, ToNodeId}).
get_node(GraphPid, NodeId) ->
gen_server:call(GraphPid, {get_node, NodeId}).
get_edges_from(GraphPid, NodeId) ->
gen_server:call(GraphPid, {get_edges_from, NodeId}).
get_edges_to(GraphPid, NodeId) ->
gen_server:call(GraphPid, {get_edges_to, NodeId}).
%% Knowledge operations
add_concept(GraphPid, ConceptId, ConceptData) ->
gen_server:call(GraphPid, {add_concept, ConceptId, ConceptData}).
add_relation(GraphPid, RelationId, FromConcept, ToConcept) ->
gen_server:call(GraphPid, {add_relation, RelationId, FromConcept, ToConcept}).
add_fact(GraphPid, FactId, FactData) ->
gen_server:call(GraphPid, {add_fact, FactId, FactData}).
add_abstraction(GraphPid, AbstractionId, AbstractionData) ->
gen_server:call(GraphPid, {add_abstraction, AbstractionId, AbstractionData}).
query_knowledge(GraphPid, Query) ->
gen_server:call(GraphPid, {query_knowledge, Query}).
infer_knowledge(GraphPid, InferenceRequest) ->
gen_server:call(GraphPid, {infer_knowledge, InferenceRequest}).
validate_knowledge(GraphPid, KnowledgeItem) ->
gen_server:call(GraphPid, {validate_knowledge, KnowledgeItem}).
%% Exploration and discovery
explore_neighborhood(GraphPid, StartNode, Depth) ->
gen_server:call(GraphPid, {explore_neighborhood, StartNode, Depth}).
find_paths(GraphPid, StartNode, EndNode, MaxDepth) ->
gen_server:call(GraphPid, {find_paths, StartNode, EndNode, MaxDepth}).
discover_patterns(GraphPid, PatternType) ->
gen_server:call(GraphPid, {discover_patterns, PatternType}).
suggest_connections(GraphPid, NodeId) ->
gen_server:call(GraphPid, {suggest_connections, NodeId}).
identify_clusters(GraphPid, ClusteringAlgorithm) ->
gen_server:call(GraphPid, {identify_clusters, ClusteringAlgorithm}).
detect_anomalies(GraphPid, AnomalyType) ->
gen_server:call(GraphPid, {detect_anomalies, AnomalyType}).
%% Reasoning and inference
perform_reasoning(GraphPid, ReasoningType, Context) ->
gen_server:call(GraphPid, {perform_reasoning, ReasoningType, Context}).
generate_hypotheses(GraphPid, Domain) ->
gen_server:call(GraphPid, {generate_hypotheses, Domain}).
validate_hypothesis(GraphPid, Hypothesis, Evidence) ->
gen_server:call(GraphPid, {validate_hypothesis, Hypothesis, Evidence}).
causal_reasoning(GraphPid, Cause, Effect) ->
gen_server:call(GraphPid, {causal_reasoning, Cause, Effect}).
analogical_reasoning(GraphPid, SourceDomain, TargetDomain) ->
gen_server:call(GraphPid, {analogical_reasoning, SourceDomain, TargetDomain}).
deductive_reasoning(GraphPid, Premises) ->
gen_server:call(GraphPid, {deductive_reasoning, Premises}).
deductive_reasoning(GraphPid, Premises, Rules) ->
gen_server:call(GraphPid, {deductive_reasoning, Premises, Rules}).
%% Graph analysis
analyze_graph_structure(GraphPid) ->
gen_server:call(GraphPid, analyze_graph_structure).
calculate_centrality(GraphPid, CentralityType) ->
gen_server:call(GraphPid, {calculate_centrality, CentralityType}).
find_communities(GraphPid, CommunityAlgorithm) ->
gen_server:call(GraphPid, {find_communities, CommunityAlgorithm}).
measure_semantic_similarity(GraphPid, Node1, Node2) ->
gen_server:call(GraphPid, {measure_semantic_similarity, Node1, Node2}).
compute_graph_metrics(GraphPid) ->
gen_server:call(GraphPid, compute_graph_metrics).
%% Learning and adaptation
learn_from_interaction(GraphPid, Interaction, Outcome) ->
gen_server:cast(GraphPid, {learn_from_interaction, Interaction, Outcome}).
adapt_structure(GraphPid, AdaptationSignal) ->
gen_server:cast(GraphPid, {adapt_structure, AdaptationSignal}).
evolve_concepts(GraphPid, EvolutionPressure) ->
gen_server:cast(GraphPid, {evolve_concepts, EvolutionPressure}).
consolidate_knowledge(GraphPid) ->
gen_server:call(GraphPid, consolidate_knowledge).
prune_redundant_knowledge(GraphPid) ->
gen_server:call(GraphPid, prune_redundant_knowledge).
%%====================================================================
%% gen_server callbacks
%%====================================================================
init([AgentId, Config]) ->
process_flag(trap_exit, true),
io:format("[KNOWLEDGE_GRAPH] Initializing knowledge graph for agent ~p~n", [AgentId]),
% Initialize learning parameters
LearningParams = #{
learning_rate => maps:get(learning_rate, Config, 0.1),
forgetting_rate => maps:get(forgetting_rate, Config, 0.01),
consolidation_threshold => maps:get(consolidation_threshold, Config, 10),
pruning_threshold => maps:get(pruning_threshold, Config, 0.1),
exploration_bias => maps:get(exploration_bias, Config, 0.2)
},
State = #graph_state{
agent_id = AgentId,
learning_parameters = LearningParams
},
% Schedule periodic maintenance
schedule_maintenance(),
{ok, State}.
handle_call({add_node, NodeId, NodeData}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Adding node ~p~n", [NodeId]),
% Create knowledge node
Node = create_knowledge_node(NodeId, NodeData),
% Add to graph
NewNodes = maps:put(NodeId, Node, State#graph_state.nodes),
% Update indices
NewNodeIndex = update_node_index(Node, State#graph_state.node_index),
NewState = State#graph_state{
nodes = NewNodes,
node_index = NewNodeIndex
},
{reply, {ok, NodeId}, NewState};
handle_call({add_edge, EdgeId, FromNode, ToNode}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Adding edge ~p from ~p to ~p~n", [EdgeId, FromNode, ToNode]),
% Validate nodes exist
case {maps:find(FromNode, State#graph_state.nodes), maps:find(ToNode, State#graph_state.nodes)} of
{{ok, _}, {ok, _}} ->
% Create knowledge edge
Edge = create_knowledge_edge(EdgeId, FromNode, ToNode),
% Add to graph
NewEdges = maps:put(EdgeId, Edge, State#graph_state.edges),
% Update indices
NewEdgeIndex = update_edge_index(Edge, State#graph_state.edge_index),
NewState = State#graph_state{
edges = NewEdges,
edge_index = NewEdgeIndex
},
{reply, {ok, EdgeId}, NewState};
_ ->
{reply, {error, nodes_not_found}, State}
end;
handle_call({get_node, NodeId}, _From, State) ->
case maps:find(NodeId, State#graph_state.nodes) of
{ok, Node} ->
% Update access statistics
UpdatedNode = Node#knowledge_node{
last_accessed = erlang:system_time(second),
access_count = Node#knowledge_node.access_count + 1
},
NewNodes = maps:put(NodeId, UpdatedNode, State#graph_state.nodes),
NewState = State#graph_state{nodes = NewNodes},
{reply, {ok, UpdatedNode}, NewState};
error ->
{reply, {error, node_not_found}, State}
end;
handle_call({explore_neighborhood, StartNode, Depth}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Exploring neighborhood of ~p with depth ~p~n", [StartNode, Depth]),
% Perform neighborhood exploration
ExplorationResult = explore_node_neighborhood(StartNode, Depth, State),
% Record exploration in history
ExplorationRecord = #{
type => neighborhood_exploration,
start_node => StartNode,
depth => Depth,
result => ExplorationResult,
timestamp => erlang:system_time(second)
},
NewHistory = [ExplorationRecord | State#graph_state.exploration_history],
NewState = State#graph_state{exploration_history = NewHistory},
{reply, {ok, ExplorationResult}, NewState};
handle_call({find_paths, StartNode, EndNode, MaxDepth}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Finding paths from ~p to ~p (max depth: ~p)~n",
[StartNode, EndNode, MaxDepth]),
% Find all paths between nodes
Paths = find_all_paths(StartNode, EndNode, MaxDepth, State),
{reply, {ok, Paths}, State};
handle_call({discover_patterns, PatternType}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Discovering patterns of type ~p~n", [PatternType]),
% Pattern discovery based on graph structure
DiscoveredPatterns = discover_graph_patterns(PatternType, State),
% Add discovered patterns to state
NewPatterns = maps:merge(State#graph_state.patterns, DiscoveredPatterns),
NewState = State#graph_state{patterns = NewPatterns},
{reply, {ok, DiscoveredPatterns}, NewState};
handle_call({suggest_connections, NodeId}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Suggesting connections for node ~p~n", [NodeId]),
% Suggest potential connections based on various heuristics
SuggestedConnections = suggest_node_connections(NodeId, State),
{reply, {ok, SuggestedConnections}, State};
handle_call({perform_reasoning, ReasoningType, Context}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Performing ~p reasoning with context ~p~n", [ReasoningType, Context]),
% Perform reasoning based on type
ReasoningResult = execute_reasoning(ReasoningType, Context, State),
% Cache reasoning result
CacheKey = {ReasoningType, Context},
NewReasoningCache = maps:put(CacheKey, ReasoningResult, State#graph_state.reasoning_cache),
NewState = State#graph_state{reasoning_cache = NewReasoningCache},
{reply, {ok, ReasoningResult}, NewState};
handle_call({generate_hypotheses, Domain}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Generating hypotheses for domain ~p~n", [Domain]),
% Generate hypotheses based on knowledge graph structure and content
Hypotheses = generate_domain_hypotheses(Domain, State),
{reply, {ok, Hypotheses}, State};
handle_call({validate_hypothesis, Hypothesis, Evidence}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Validating hypothesis ~p with evidence ~p~n", [Hypothesis, Evidence]),
% Validate hypothesis against knowledge graph
ValidationResult = validate_hypothesis_against_knowledge(Hypothesis, Evidence, State),
{reply, {ok, ValidationResult}, State};
handle_call({measure_semantic_similarity, Node1, Node2}, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Measuring semantic similarity between ~p and ~p~n", [Node1, Node2]),
% Calculate semantic similarity using various methods
Similarity = calculate_semantic_similarity(Node1, Node2, State),
{reply, {ok, Similarity}, State};
handle_call(analyze_graph_structure, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Analyzing graph structure~n"),
% Comprehensive graph structure analysis
StructureAnalysis = perform_structure_analysis(State),
{reply, {ok, StructureAnalysis}, State};
handle_call(compute_graph_metrics, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Computing graph metrics~n"),
% Compute various graph metrics
Metrics = compute_comprehensive_metrics(State),
% Cache metrics
NewState = State#graph_state{graph_metrics = Metrics},
{reply, {ok, Metrics}, NewState};
handle_call(consolidate_knowledge, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Consolidating knowledge~n"),
% Consolidate related knowledge items
ConsolidatedState = perform_knowledge_consolidation(State),
{reply, {ok, consolidation_complete}, ConsolidatedState};
handle_call(prune_redundant_knowledge, _From, State) ->
io:format("[KNOWLEDGE_GRAPH] Pruning redundant knowledge~n"),
% Remove redundant or low-value knowledge
PrunedState = perform_knowledge_pruning(State),
{reply, {ok, pruning_complete}, PrunedState};
handle_call(_Request, _From, State) ->
{reply, {error, unknown_request}, State}.
handle_cast({learn_from_interaction, Interaction, Outcome}, State) ->
io:format("[KNOWLEDGE_GRAPH] Learning from interaction: ~p -> ~p~n", [Interaction, Outcome]),
% Learn from interaction and adapt graph structure
NewState = learn_from_interaction_internal(Interaction, Outcome, State),
{noreply, NewState};
handle_cast({adapt_structure, AdaptationSignal}, State) ->
io:format("[KNOWLEDGE_GRAPH] Adapting structure based on signal: ~p~n", [AdaptationSignal]),
% Adapt graph structure based on signal
NewState = adapt_graph_structure(AdaptationSignal, State),
{noreply, NewState};
handle_cast({evolve_concepts, EvolutionPressure}, State) ->
io:format("[KNOWLEDGE_GRAPH] Evolving concepts under pressure: ~p~n", [EvolutionPressure]),
% Evolve concepts and abstractions
NewState = evolve_concept_structure(EvolutionPressure, State),
{noreply, NewState};
handle_cast(_Msg, State) ->
{noreply, State}.
handle_info(maintenance_cycle, State) ->
io:format("[KNOWLEDGE_GRAPH] Performing maintenance cycle~n"),
% Perform periodic maintenance
MaintenanceState = perform_periodic_maintenance(State),
% Schedule next maintenance
schedule_maintenance(),
{noreply, MaintenanceState};
handle_info(_Info, State) ->
{noreply, State}.
terminate(_Reason, State) ->
io:format("[KNOWLEDGE_GRAPH] Knowledge graph for agent ~p terminating~n",
[State#graph_state.agent_id]),
% Save knowledge graph state
save_knowledge_graph(State),
ok.
code_change(_OldVsn, State, _Extra) ->
{ok, State}.
%%====================================================================
%% Internal functions - Node and Edge Creation
%%====================================================================
create_knowledge_node(NodeId, NodeData) ->
#knowledge_node{
id = NodeId,
type = maps:get(type, NodeData, concept),
properties = maps:get(properties, NodeData, #{}),
content = maps:get(content, NodeData, undefined),
confidence = maps:get(confidence, NodeData, 1.0),
creation_time = erlang:system_time(second),
last_accessed = erlang:system_time(second),
source = maps:get(source, NodeData, unknown),
tags = maps:get(tags, NodeData, []),
metadata = maps:get(metadata, NodeData, #{})
}.
create_knowledge_edge(EdgeId, FromNode, ToNode) ->
#knowledge_edge{
id = EdgeId,
from_node = FromNode,
to_node = ToNode,
relation_type = generic,
weight = 1.0,
confidence = 1.0,
bidirectional = false,
creation_time = erlang:system_time(second),
source = unknown,
evidence = [],
metadata = #{}
}.
update_node_index(Node, CurrentIndex) ->
% Update various indices for fast node lookup
TypeIndex = maps:get(by_type, CurrentIndex, #{}),
TagIndex = maps:get(by_tag, CurrentIndex, #{}),
ContentIndex = maps:get(by_content, CurrentIndex, #{}),
% Update type index
TypeKey = Node#knowledge_node.type,
TypeNodes = maps:get(TypeKey, TypeIndex, []),
NewTypeIndex = maps:put(TypeKey, [Node#knowledge_node.id | TypeNodes], TypeIndex),
% Update tag index
NewTagIndex = lists:foldl(fun(Tag, TagIndexAcc) ->
TagNodes = maps:get(Tag, TagIndexAcc, []),
maps:put(Tag, [Node#knowledge_node.id | TagNodes], TagIndexAcc)
end, TagIndex, Node#knowledge_node.tags),
% Return updated index
#{
by_type => NewTypeIndex,
by_tag => NewTagIndex,
by_content => ContentIndex
}.
update_edge_index(Edge, CurrentIndex) ->
% Update edge indices for fast lookup
FromIndex = maps:get(from_node, CurrentIndex, #{}),
ToIndex = maps:get(to_node, CurrentIndex, #{}),
TypeIndex = maps:get(by_type, CurrentIndex, #{}),
% Update from_node index
FromEdges = maps:get(Edge#knowledge_edge.from_node, FromIndex, []),
NewFromIndex = maps:put(Edge#knowledge_edge.from_node,
[Edge#knowledge_edge.id | FromEdges], FromIndex),
% Update to_node index
ToEdges = maps:get(Edge#knowledge_edge.to_node, ToIndex, []),
NewToIndex = maps:put(Edge#knowledge_edge.to_node,
[Edge#knowledge_edge.id | ToEdges], ToIndex),
% Update type index
TypeEdges = maps:get(Edge#knowledge_edge.relation_type, TypeIndex, []),
NewTypeIndex = maps:put(Edge#knowledge_edge.relation_type,
[Edge#knowledge_edge.id | TypeEdges], TypeIndex),
#{
from_node => NewFromIndex,
to_node => NewToIndex,
by_type => NewTypeIndex
}.
%%====================================================================
%% Internal functions - Graph Exploration
%%====================================================================
explore_node_neighborhood(StartNode, Depth, State) ->
% Breadth-first exploration of node neighborhood
explore_neighborhood_bfs(StartNode, Depth, State, #{}, []).
explore_neighborhood_bfs(_StartNode, 0, _State, Visited, Result) ->
#{visited => maps:keys(Visited), nodes => Result};
explore_neighborhood_bfs(StartNode, Depth, State, Visited, Result) ->
case maps:find(StartNode, Visited) of
{ok, _} ->
% Already visited
#{visited => maps:keys(Visited), nodes => Result};
error ->
% Mark as visited
NewVisited = maps:put(StartNode, true, Visited),
% Get node
case maps:find(StartNode, State#graph_state.nodes) of
{ok, Node} ->
NewResult = [Node | Result],
% Get connected nodes
ConnectedNodes = get_connected_nodes(StartNode, State),
% Recursively explore connected nodes
lists:foldl(fun(ConnectedNode, {AccVisited, AccResult}) ->
SubResult = explore_neighborhood_bfs(ConnectedNode, Depth - 1,
State, AccVisited, AccResult),
SubVisited = maps:get(visited, SubResult),
SubNodes = maps:get(nodes, SubResult),
{
maps:merge(AccVisited, maps:from_list([{V, true} || V <- SubVisited])),
SubNodes ++ AccResult
}
end, {NewVisited, NewResult}, ConnectedNodes);
error ->
#{visited => maps:keys(NewVisited), nodes => Result}
end
end.
get_connected_nodes(NodeId, State) ->
% Get all nodes connected to the given node
EdgeIndex = State#graph_state.edge_index,
FromIndex = maps:get(from_node, EdgeIndex, #{}),
ToIndex = maps:get(to_node, EdgeIndex, #{}),
% Outgoing edges
OutgoingEdgeIds = maps:get(NodeId, FromIndex, []),
OutgoingNodes = [get_edge_to_node(EdgeId, State) || EdgeId <- OutgoingEdgeIds],
% Incoming edges
IncomingEdgeIds = maps:get(NodeId, ToIndex, []),
IncomingNodes = [get_edge_from_node(EdgeId, State) || EdgeId <- IncomingEdgeIds],
% Return unique connected nodes
lists:usort(OutgoingNodes ++ IncomingNodes).
get_edge_to_node(EdgeId, State) ->
case maps:find(EdgeId, State#graph_state.edges) of
{ok, Edge} -> Edge#knowledge_edge.to_node;
error -> undefined
end.
get_edge_from_node(EdgeId, State) ->
case maps:find(EdgeId, State#graph_state.edges) of
{ok, Edge} -> Edge#knowledge_edge.from_node;
error -> undefined
end.
find_all_paths(StartNode, EndNode, MaxDepth, State) ->
% Find all paths between two nodes using depth-limited search
find_paths_dfs(StartNode, EndNode, MaxDepth, [StartNode], [], State).
find_paths_dfs(_CurrentNode, _EndNode, 0, _CurrentPath, Paths, _State) ->
Paths;
find_paths_dfs(CurrentNode, EndNode, Depth, CurrentPath, Paths, State) ->
if CurrentNode =:= EndNode ->
[lists:reverse(CurrentPath) | Paths];
true ->
ConnectedNodes = get_connected_nodes(CurrentNode, State),
% Avoid cycles
ValidNodes = [Node || Node <- ConnectedNodes, not lists:member(Node, CurrentPath)],
lists:foldl(fun(NextNode, AccPaths) ->
find_paths_dfs(NextNode, EndNode, Depth - 1,
[NextNode | CurrentPath], AccPaths, State)
end, Paths, ValidNodes)
end.
%%====================================================================
%% Internal functions - Pattern Discovery
%%====================================================================
discover_graph_patterns(PatternType, State) ->
case PatternType of
structural -> discover_structural_patterns(State);
temporal -> discover_temporal_patterns(State);
semantic -> discover_semantic_patterns(State);
causal -> discover_causal_patterns(State);
_ -> #{}
end.
discover_structural_patterns(State) ->
% Discover common structural patterns in the graph
Nodes = maps:values(State#graph_state.nodes),
Edges = maps:values(State#graph_state.edges),
% Find common subgraph patterns
TrianglePatterns = find_triangle_patterns(Nodes, Edges),
StarPatterns = find_star_patterns(Nodes, Edges),
ChainPatterns = find_chain_patterns(Nodes, Edges),
#{
triangles => TrianglePatterns,
stars => StarPatterns,
chains => ChainPatterns
}.
discover_semantic_patterns(State) ->
% Discover patterns based on semantic content
Nodes = maps:values(State#graph_state.nodes),
% Group nodes by semantic similarity
SemanticClusters = cluster_nodes_semantically(Nodes),
#{
semantic_clusters => SemanticClusters
}.
%%====================================================================
%% Internal functions - Reasoning and Inference
%%====================================================================
execute_reasoning(ReasoningType, Context, State) ->
case ReasoningType of
deductive -> perform_deductive_reasoning(Context, State);
inductive -> perform_inductive_reasoning(Context, State);
abductive -> perform_abductive_reasoning(Context, State);
analogical -> perform_analogical_reasoning(Context, State);
causal -> perform_causal_reasoning(Context, State);
_ -> #{error => unsupported_reasoning_type}
end.
perform_deductive_reasoning(Context, State) ->
% Deductive reasoning using graph structure and rules
Premises = maps:get(premises, Context, []),
Rules = State#graph_state.inference_rules,
% Apply rules to premises
Conclusions = apply_inference_rules(Premises, Rules, State),
#{
reasoning_type => deductive,
premises => Premises,
conclusions => Conclusions,
confidence => calculate_reasoning_confidence(Conclusions)
}.
perform_inductive_reasoning(Context, State) ->
% Inductive reasoning to generalize from specific instances
Examples = maps:get(examples, Context, []),
% Find common patterns among examples
CommonPatterns = extract_common_patterns(Examples, State),
% Generate generalizations
Generalizations = generate_generalizations(CommonPatterns, State),
#{
reasoning_type => inductive,
examples => Examples,
patterns => CommonPatterns,
generalizations => Generalizations
}.
perform_analogical_reasoning(Context, State) ->
% Analogical reasoning between domains
SourceDomain = maps:get(source_domain, Context),
TargetDomain = maps:get(target_domain, Context),
% Find structural similarities
StructuralMappings = find_structural_analogies(SourceDomain, TargetDomain, State),
% Generate analogical inferences
AnalogicalInferences = generate_analogical_inferences(StructuralMappings, State),
#{
reasoning_type => analogical,
source_domain => SourceDomain,
target_domain => TargetDomain,
mappings => StructuralMappings,
inferences => AnalogicalInferences
}.
%%====================================================================
%% Internal functions - Graph Analysis
%%====================================================================
perform_structure_analysis(State) ->
Nodes = maps:values(State#graph_state.nodes),
Edges = maps:values(State#graph_state.edges),
NodeCount = length(Nodes),
EdgeCount = length(Edges),
% Calculate basic metrics
Density = case NodeCount of
0 -> 0.0;
N when N > 1 -> EdgeCount / (N * (N - 1) / 2);
_ -> 0.0
end,
% Analyze connectivity
ConnectivityAnalysis = analyze_connectivity(State),
% Find central nodes
CentralNodes = find_central_nodes(State),
#{
node_count => NodeCount,
edge_count => EdgeCount,
density => Density,
connectivity => ConnectivityAnalysis,
central_nodes => CentralNodes,
analysis_timestamp => erlang:system_time(second)
}.
analyze_connectivity(State) ->
% Analyze graph connectivity properties
Components = find_connected_components(State),
LargestComponent = find_largest_component(Components),
#{
component_count => length(Components),
largest_component_size => length(LargestComponent),
components => Components
}.
find_connected_components(State) ->
% Find all connected components using DFS
Nodes = maps:keys(State#graph_state.nodes),
find_components_dfs(Nodes, [], State).
find_components_dfs([], Components, _State) ->
Components;
find_components_dfs([Node | RestNodes], Components, State) ->
% Check if node is already in a component
case is_node_in_components(Node, Components) of
true ->
find_components_dfs(RestNodes, Components, State);
false ->
% Start new component from this node
Component = explore_component(Node, [], State),
find_components_dfs(RestNodes, [Component | Components], State)
end.
explore_component(Node, Visited, State) ->
case lists:member(Node, Visited) of
true ->
Visited;
false ->
NewVisited = [Node | Visited],
ConnectedNodes = get_connected_nodes(Node, State),
lists:foldl(fun(ConnectedNode, AccVisited) ->
explore_component(ConnectedNode, AccVisited, State)
end, NewVisited, ConnectedNodes)
end.
%%====================================================================
%% Internal functions - Learning and Adaptation
%%====================================================================
learn_from_interaction_internal(Interaction, Outcome, State) ->
% Learn from interaction and adapt knowledge graph
% Extract knowledge from interaction
NewKnowledge = extract_knowledge_from_interaction(Interaction, Outcome),
% Update graph structure
UpdatedState = integrate_new_knowledge(NewKnowledge, State),
% Adjust edge weights based on outcome
adjust_edge_weights_from_outcome(Outcome, UpdatedState).
extract_knowledge_from_interaction(Interaction, Outcome) ->
% Extract actionable knowledge from interaction
#{
interaction_type => maps:get(type, Interaction, unknown),
context => maps:get(context, Interaction, #{}),
outcome_type => maps:get(type, Outcome, unknown),
outcome_quality => maps:get(quality, Outcome, neutral),
timestamp => erlang:system_time(second)
}.
integrate_new_knowledge(_Knowledge, State) ->
% Integrate new knowledge into the graph
% This is a simplified implementation
State.
adapt_graph_structure(AdaptationSignal, State) ->
% Adapt graph structure based on signal
case maps:get(type, AdaptationSignal) of
strengthen_connections ->
strengthen_connection_weights(AdaptationSignal, State);
weaken_connections ->
weaken_connection_weights(AdaptationSignal, State);
add_new_connections ->
add_suggested_connections(AdaptationSignal, State);
remove_weak_connections ->
remove_weak_connections(AdaptationSignal, State);
_ ->
State
end.
%%====================================================================
%% Internal functions - Utility and Helper Functions
%%====================================================================
generate_graph_id() ->
iolist_to_binary(io_lib:format("knowledge_graph_~p", [erlang:system_time(microsecond)])).
schedule_maintenance() ->
Interval = 300000, % 5 minutes
erlang:send_after(Interval, self(), maintenance_cycle).
perform_periodic_maintenance(State) ->
% Perform periodic maintenance tasks
% 1. Update access statistics and decay unused connections
DecayedState = decay_unused_connections(State),
% 2. Consolidate similar concepts
ConsolidatedState = auto_consolidate_concepts(DecayedState),
% 3. Prune low-confidence knowledge
PrunedState = auto_prune_low_confidence(ConsolidatedState),
% 4. Update graph metrics
MetricsState = update_cached_metrics(PrunedState),
MetricsState.
save_knowledge_graph(_State) ->
% Save knowledge graph to persistent storage
ok.
% Placeholder implementations for complex functions
suggest_node_connections(_NodeId, _State) -> [].
generate_domain_hypotheses(_Domain, _State) -> [].
validate_hypothesis_against_knowledge(_Hypothesis, _Evidence, _State) -> #{valid => true}.
calculate_semantic_similarity(_Node1, _Node2, _State) -> 0.5.
compute_comprehensive_metrics(_State) -> #{}.
perform_knowledge_consolidation(State) -> State.
perform_knowledge_pruning(State) -> State.
evolve_concept_structure(_EvolutionPressure, State) -> State.
find_triangle_patterns(_Nodes, _Edges) -> [].
find_star_patterns(_Nodes, _Edges) -> [].
find_chain_patterns(_Nodes, _Edges) -> [].
cluster_nodes_semantically(_Nodes) -> [].
apply_inference_rules(_Premises, _Rules, _State) -> [].
calculate_reasoning_confidence(_Conclusions) -> 0.8.
extract_common_patterns(_Examples, _State) -> [].
generate_generalizations(_Patterns, _State) -> [].
find_structural_analogies(_SourceDomain, _TargetDomain, _State) -> [].
generate_analogical_inferences(_Mappings, _State) -> [].
find_central_nodes(_State) -> [].
find_largest_component(Components) -> lists:max(Components).
is_node_in_components(_Node, _Components) -> false.
adjust_edge_weights_from_outcome(_Outcome, State) -> State.
strengthen_connection_weights(_Signal, State) -> State.
weaken_connection_weights(_Signal, State) -> State.
add_suggested_connections(_Signal, State) -> State.
remove_weak_connections(_Signal, State) -> State.
decay_unused_connections(State) -> State.
auto_consolidate_concepts(State) -> State.
auto_prune_low_confidence(State) -> State.
update_cached_metrics(State) -> State.
discover_temporal_patterns(_State) -> #{}.
discover_causal_patterns(_State) -> #{}.
perform_causal_reasoning(_Context, _State) -> #{}.
perform_abductive_reasoning(_Context, _State) -> #{}.