defmodule Object.NeuroSymbolicReasoning do @moduledoc """ Advanced neuro-symbolic reasoning engine for AAOS objects. Combines deep neural networks with symbolic reasoning for sophisticated cognitive capabilities including: - Multi-modal transformer architectures - Graph neural networks for relational reasoning - Differentiable neural symbolic programming - Attention-based memory architectures - Causal inference and counterfactual reasoning - Meta-cognitive reflection and self-awareness - Hierarchical reasoning with abstraction levels - Uncertainty quantification and epistemic reasoning """ use GenServer require Logger # Neural Architecture Constants @transformer_dims 1024 @attention_heads 16 @num_layers 12 @vocab_size 50000 @max_sequence_length 2048 @hidden_dims 4096 # Symbolic Reasoning Constants @max_proof_depth 20 @inference_steps 1000 @knowledge_base_size 10000 @rule_complexity_limit 10 @type tensor :: %{ data: [float()], shape: [non_neg_integer()], dtype: :float32 | :float64 | :int32 | :int64 } @type attention_weights :: %{ query: tensor(), key: tensor(), value: tensor(), output: tensor() } @type symbolic_expression :: %{ type: :atom | :variable | :compound | :quantified, functor: binary() | nil, args: [symbolic_expression()], variables: [binary()], constraints: [symbolic_expression()] } @type proof_step :: %{ rule: binary(), premises: [symbolic_expression()], conclusion: symbolic_expression(), justification: binary(), confidence: float() } @type reasoning_trace :: %{ input: term(), neural_activations: %{non_neg_integer() => tensor()}, symbolic_derivations: [proof_step()], attention_patterns: %{non_neg_integer() => attention_weights()}, final_conclusion: term(), confidence: float(), explanation: binary() } @type cognitive_state :: %{ working_memory: [symbolic_expression()], episodic_memory: %{term() => reasoning_trace()}, semantic_knowledge: %{binary() => symbolic_expression()}, neural_parameters: %{binary() => tensor()}, meta_cognition: %{ self_model: symbolic_expression(), uncertainty_estimates: %{term() => float()}, reasoning_strategies: [binary()] } } @type state :: %{ cognitive_state: cognitive_state(), neural_networks: %{ transformer: map(), graph_net: map(), meta_net: map() }, symbolic_systems: %{ knowledge_base: map(), inference_engine: map(), proof_search: map() }, integration_layer: map(), performance_metrics: map() } # Client API @doc """ Starts the neuro-symbolic reasoning engine. """ def start_link(opts \\ []) do GenServer.start_link(__MODULE__, opts, name: __MODULE__) end @doc """ Performs multi-modal reasoning on complex input. """ @spec reason(term(), map()) :: {:ok, reasoning_trace()} | {:error, term()} def reason(input, context \\ %{}) do GenServer.call(__MODULE__, {:reason, input, context}, 30000) end @doc """ Learns from experience and updates neural and symbolic components. """ @spec learn_from_experience(reasoning_trace(), term()) :: :ok | {:error, term()} def learn_from_experience(trace, feedback) do GenServer.call(__MODULE__, {:learn, trace, feedback}) end @doc """ Performs causal inference and counterfactual reasoning. """ @spec causal_inference(symbolic_expression(), [symbolic_expression()]) :: {:ok, [symbolic_expression()]} | {:error, term()} def causal_inference(query, evidence) do GenServer.call(__MODULE__, {:causal_inference, query, evidence}) end @doc """ Generates explanations for reasoning decisions. """ @spec explain_reasoning(reasoning_trace()) :: {:ok, binary()} | {:error, term()} def explain_reasoning(trace) do GenServer.call(__MODULE__, {:explain, trace}) end @doc """ Meta-cognitive self-reflection and strategy adaptation. """ @spec meta_reflect() :: {:ok, map()} | {:error, term()} def meta_reflect do GenServer.call(__MODULE__, :meta_reflect) end @doc """ Performs few-shot learning with minimal examples. """ @spec few_shot_learn([{term(), term()}], term()) :: {:ok, term()} | {:error, term()} def few_shot_learn(examples, query) do GenServer.call(__MODULE__, {:few_shot_learn, examples, query}) end # Server Callbacks @impl true def init(opts) do # Initialize neural networks neural_networks = %{ transformer: initialize_transformer(), graph_net: initialize_graph_network(), meta_net: initialize_meta_network() } # Initialize symbolic systems symbolic_systems = %{ knowledge_base: initialize_knowledge_base(), inference_engine: initialize_inference_engine(), proof_search: initialize_proof_search() } # Initialize cognitive state cognitive_state = %{ working_memory: [], episodic_memory: %{}, semantic_knowledge: initialize_semantic_knowledge(), neural_parameters: extract_neural_parameters(neural_networks), meta_cognition: initialize_meta_cognition() } state = %{ cognitive_state: cognitive_state, neural_networks: neural_networks, symbolic_systems: symbolic_systems, integration_layer: initialize_integration_layer(), performance_metrics: %{ reasoning_accuracy: 0.0, inference_speed: 0.0, explanation_quality: 0.0 } } Logger.info("Neuro-symbolic reasoning engine initialized with #{@transformer_dims}D transformer") {:ok, state} end @impl true def handle_call({:reason, input, context}, _from, state) do start_time = System.monotonic_time(:microsecond) case perform_reasoning(input, context, state) do {:ok, trace} -> # Update performance metrics end_time = System.monotonic_time(:microsecond) inference_time = (end_time - start_time) / 1_000_000 new_metrics = %{state.performance_metrics | inference_speed: update_moving_average( state.performance_metrics.inference_speed, inference_time ) } # Update cognitive state with new experience new_cognitive_state = update_cognitive_state(state.cognitive_state, trace) new_state = %{state | performance_metrics: new_metrics, cognitive_state: new_cognitive_state } {:reply, {:ok, trace}, new_state} error -> {:reply, error, state} end end @impl true def handle_call({:learn, trace, feedback}, _from, state) do case update_from_feedback(trace, feedback, state) do {:ok, new_state} -> {:reply, :ok, new_state} error -> {:reply, error, state} end end @impl true def handle_call({:causal_inference, query, evidence}, _from, state) do case perform_causal_inference(query, evidence, state) do {:ok, conclusions} -> {:reply, {:ok, conclusions}, state} error -> {:reply, error, state} end end @impl true def handle_call({:explain, trace}, _from, state) do explanation = generate_explanation(trace, state) {:reply, {:ok, explanation}, state} end @impl true def handle_call(:meta_reflect, _from, state) do case perform_meta_reflection(state) do {:ok, insights, new_state} -> {:reply, {:ok, insights}, new_state} error -> {:reply, error, state} end end @impl true def handle_call({:few_shot_learn, examples, query}, _from, state) do case perform_few_shot_learning(examples, query, state) do {:ok, result} -> {:reply, {:ok, result}, state} error -> {:reply, error, state} end end # Neural Network Initialization defp initialize_transformer do %{ embedding_layer: initialize_embeddings(@vocab_size, @transformer_dims), positional_encoding: generate_positional_encoding(@max_sequence_length, @transformer_dims), encoder_layers: initialize_transformer_layers(@num_layers, @transformer_dims, @attention_heads), output_projection: initialize_linear_layer(@transformer_dims, @vocab_size), layer_norm: initialize_layer_norm(@transformer_dims) } end defp initialize_graph_network do %{ node_encoder: initialize_linear_layer(128, @transformer_dims), edge_encoder: initialize_linear_layer(64, @transformer_dims), message_passing_layers: initialize_gnn_layers(6, @transformer_dims), global_pooling: initialize_set2set_pooling(@transformer_dims), output_decoder: initialize_linear_layer(@transformer_dims, 512) } end defp initialize_meta_network do %{ strategy_selector: initialize_linear_layer(@transformer_dims, 10), uncertainty_estimator: initialize_bayesian_layer(@transformer_dims, 1), confidence_predictor: initialize_linear_layer(@transformer_dims, 1), self_model_encoder: initialize_transformer_encoder(6, @transformer_dims, 8) } end defp initialize_embeddings(vocab_size, dims) do # Random initialization following Xavier/Glorot scheme scale = :math.sqrt(2.0 / (vocab_size + dims)) data = for _ <- 1..(vocab_size * dims) do (:rand.uniform() - 0.5) * 2 * scale end %{ data: data, shape: [vocab_size, dims], dtype: :float32 } end defp generate_positional_encoding(max_len, dims) do positions = for pos <- 0..(max_len - 1) do for i <- 0..(dims - 1) do if rem(i, 2) == 0 do :math.sin(pos / :math.pow(10000, i / dims)) else :math.cos(pos / :math.pow(10000, (i - 1) / dims)) end end end |> List.flatten() %{ data: positions, shape: [max_len, dims], dtype: :float32 } end defp initialize_transformer_layers(num_layers, dims, heads) do for layer <- 1..num_layers do %{ "layer_#{layer}" => %{ multi_head_attention: initialize_multi_head_attention(dims, heads), feed_forward: initialize_feed_forward(dims, @hidden_dims), layer_norm_1: initialize_layer_norm(dims), layer_norm_2: initialize_layer_norm(dims), dropout: 0.1 } } end |> Enum.reduce(%{}, &Map.merge/2) end defp initialize_multi_head_attention(dims, heads) do head_dim = div(dims, heads) %{ query_projection: initialize_linear_layer(dims, dims), key_projection: initialize_linear_layer(dims, dims), value_projection: initialize_linear_layer(dims, dims), output_projection: initialize_linear_layer(dims, dims), num_heads: heads, head_dim: head_dim, scale: 1.0 / :math.sqrt(head_dim) } end defp initialize_feed_forward(input_dims, hidden_dims) do %{ linear_1: initialize_linear_layer(input_dims, hidden_dims), linear_2: initialize_linear_layer(hidden_dims, input_dims), activation: :gelu, dropout: 0.1 } end defp initialize_linear_layer(input_size, output_size) do scale = :math.sqrt(2.0 / (input_size + output_size)) weight_data = for _ <- 1..(input_size * output_size) do (:rand.uniform() - 0.5) * 2 * scale end bias_data = for _ <- 1..output_size, do: 0.0 %{ weight: %{data: weight_data, shape: [output_size, input_size], dtype: :float32}, bias: %{data: bias_data, shape: [output_size], dtype: :float32} } end defp initialize_layer_norm(dims) do %{ gamma: %{data: List.duplicate(1.0, dims), shape: [dims], dtype: :float32}, beta: %{data: List.duplicate(0.0, dims), shape: [dims], dtype: :float32}, epsilon: 1.0e-5 } end defp initialize_gnn_layers(num_layers, dims) do for layer <- 1..num_layers do %{ "gnn_layer_#{layer}" => %{ message_function: initialize_linear_layer(dims * 2, dims), update_function: initialize_linear_layer(dims * 2, dims), aggregation: :sum, residual: true, layer_norm: initialize_layer_norm(dims) } } end |> Enum.reduce(%{}, &Map.merge/2) end defp initialize_set2set_pooling(dims) do %{ lstm_cell: initialize_lstm_cell(dims, dims), attention: initialize_linear_layer(dims * 2, 1), num_steps: 3 } end defp initialize_lstm_cell(input_size, hidden_size) do %{ input_gate: initialize_linear_layer(input_size + hidden_size, hidden_size), forget_gate: initialize_linear_layer(input_size + hidden_size, hidden_size), output_gate: initialize_linear_layer(input_size + hidden_size, hidden_size), cell_gate: initialize_linear_layer(input_size + hidden_size, hidden_size) } end defp initialize_bayesian_layer(input_size, output_size) do %{ weight_mean: initialize_linear_layer(input_size, output_size), weight_logvar: initialize_linear_layer(input_size, output_size), bias_mean: %{data: List.duplicate(0.0, output_size), shape: [output_size], dtype: :float32}, bias_logvar: %{data: List.duplicate(-3.0, output_size), shape: [output_size], dtype: :float32}, prior_mean: 0.0, prior_var: 1.0 } end defp initialize_transformer_encoder(num_layers, dims, heads) do %{ layers: initialize_transformer_layers(num_layers, dims, heads), final_norm: initialize_layer_norm(dims) } end # Symbolic System Initialization defp initialize_knowledge_base do %{ facts: initialize_fact_base(), rules: initialize_rule_base(), ontology: initialize_ontology(), axioms: initialize_axioms() } end defp initialize_fact_base do # Basic logical facts for reasoning %{ "agent(X)" => %{ type: :compound, functor: "agent", args: [%{type: :variable, functor: "X", args: [], variables: ["X"], constraints: []}], variables: ["X"], constraints: [] }, "autonomous(X) :- agent(X), self_directed(X)" => %{ type: :compound, functor: ":-", args: [ %{type: :compound, functor: "autonomous", args: [%{type: :variable, functor: "X", args: [], variables: ["X"], constraints: []}], variables: ["X"], constraints: []}, %{type: :compound, functor: ",", args: [ %{type: :compound, functor: "agent", args: [%{type: :variable, functor: "X", args: [], variables: ["X"], constraints: []}], variables: ["X"], constraints: []}, %{type: :compound, functor: "self_directed", args: [%{type: :variable, functor: "X", args: [], variables: ["X"], constraints: []}], variables: ["X"], constraints: []} ], variables: ["X"], constraints: []} ], variables: ["X"], constraints: [] } } end defp initialize_rule_base do %{ modus_ponens: %{ name: "modus_ponens", pattern: {"{P → Q, P}", "Q"}, confidence: 1.0, priority: 10 }, universal_instantiation: %{ name: "universal_instantiation", pattern: {"∀x.P(x)", "P(c)"}, confidence: 1.0, priority: 9 }, resolution: %{ name: "resolution", pattern: {"{P ∨ Q, ¬P ∨ R}", "Q ∨ R"}, confidence: 0.95, priority: 8 } } end defp initialize_ontology do %{ concepts: %{ "Agent" => %{ properties: ["autonomous", "reactive", "social"], relations: ["interacts_with", "coordinates_with"], parent_concepts: ["Entity"], child_concepts: ["AIAgent", "HumanAgent"] }, "Goal" => %{ properties: ["achievable", "measurable"], relations: ["pursued_by", "conflicts_with"], parent_concepts: ["Intention"], child_concepts: ["LearningGoal", "PerformanceGoal"] } }, relations: %{ "interacts_with" => %{ domain: "Agent", range: "Agent", properties: ["symmetric", "reflexive"] }, "pursues" => %{ domain: "Agent", range: "Goal", properties: ["functional"] } } } end defp initialize_axioms do [ # Reflexivity of agent identity "∀x.(agent(x) → x = x)", # Autonomy preservation "∀x.(autonomous(x) → ∃g.(goal(g) ∧ pursues(x,g)))", # Social interaction reciprocity "∀x,y.(interacts_with(x,y) → interacts_with(y,x))" ] end defp initialize_inference_engine do %{ forward_chaining: %{ enabled: true, max_iterations: 100, conflict_resolution: :priority_order }, backward_chaining: %{ enabled: true, max_depth: @max_proof_depth, search_strategy: :depth_first }, resolution_prover: %{ enabled: true, clause_selection: :unit_resolution, subsumption: true } } end defp initialize_proof_search do %{ search_strategy: :best_first, heuristics: [:goal_distance, :premise_support, :rule_confidence], beam_width: 10, max_iterations: @inference_steps } end defp initialize_semantic_knowledge do %{ "causality" => %{ type: :compound, functor: "causes", args: [ %{type: :variable, functor: "X", args: [], variables: ["X"], constraints: []}, %{type: :variable, functor: "Y", args: [], variables: ["Y"], constraints: []} ], variables: ["X", "Y"], constraints: [ %{type: :compound, functor: "precedes", args: [ %{type: :variable, functor: "X", args: [], variables: ["X"], constraints: []}, %{type: :variable, functor: "Y", args: [], variables: ["Y"], constraints: []} ], variables: ["X", "Y"], constraints: []} ] } } end defp initialize_meta_cognition do %{ self_model: %{ type: :compound, functor: "reasoning_agent", args: [ %{type: :atom, functor: "self", args: [], variables: [], constraints: []} ], variables: [], constraints: [] }, uncertainty_estimates: %{}, reasoning_strategies: [ "logical_deduction", "analogical_reasoning", "causal_inference", "pattern_matching", "meta_reasoning" ] } end defp initialize_integration_layer do %{ attention_fusion: %{ neural_weight: 0.6, symbolic_weight: 0.4, fusion_mechanism: :weighted_sum }, consistency_checker: %{ enabled: true, tolerance: 0.1, resolution_strategy: :neural_dominance }, explanation_generator: %{ template_based: true, natural_language: true, causal_chains: true } } end # Core Reasoning Implementation defp perform_reasoning(input, context, state) do try do # Stage 1: Neural encoding neural_encoding = encode_input_neurally(input, context, state.neural_networks) # Stage 2: Symbolic parsing symbolic_representation = parse_input_symbolically(input, state.symbolic_systems) # Stage 3: Multi-modal attention attention_weights = compute_cross_modal_attention( neural_encoding, symbolic_representation, state.neural_networks.transformer ) # Stage 4: Parallel processing neural_reasoning = perform_neural_reasoning(neural_encoding, state.neural_networks) symbolic_reasoning = perform_symbolic_reasoning(symbolic_representation, state.symbolic_systems) # Stage 5: Integration and consistency integrated_result = integrate_reasoning_modes( neural_reasoning, symbolic_reasoning, attention_weights, state.integration_layer ) # Stage 6: Generate trace trace = %{ input: input, neural_activations: extract_neural_activations(neural_reasoning), symbolic_derivations: extract_symbolic_derivations(symbolic_reasoning), attention_patterns: attention_weights, final_conclusion: integrated_result.conclusion, confidence: integrated_result.confidence, explanation: generate_integrated_explanation(integrated_result, state) } {:ok, trace} catch error -> {:error, error} end end defp encode_input_neurally(input, context, neural_networks) do # Tokenize and embed input tokens = tokenize_input(input) embeddings = lookup_embeddings(tokens, neural_networks.transformer.embedding_layer) # Add positional encoding pos_embeddings = add_positional_encoding(embeddings, neural_networks.transformer.positional_encoding) # Apply transformer encoder encoded = apply_transformer_encoder(pos_embeddings, neural_networks.transformer.encoder_layers) # Apply context attention if provided if context != %{} do context_encoded = encode_context(context, neural_networks.transformer) apply_cross_attention(encoded, context_encoded, neural_networks.transformer) else encoded end end defp parse_input_symbolically(input, symbolic_systems) do # Convert input to logical representation logical_form = parse_to_logical_form(input) # Apply knowledge base expansion expanded_form = expand_with_knowledge_base(logical_form, symbolic_systems.knowledge_base) # Normalize and prepare for reasoning normalize_symbolic_expression(expanded_form) end defp compute_cross_modal_attention(neural_encoding, symbolic_repr, transformer) do # Compute attention between neural and symbolic representations neural_query = apply_linear_layer(neural_encoding, transformer.multi_head_attention.query_projection) symbolic_key = encode_symbolic_as_neural(symbolic_repr, transformer.embedding_layer) symbolic_value = symbolic_key # Multi-head attention computation attention_scores = compute_attention_scores(neural_query, symbolic_key, transformer.multi_head_attention.scale) attention_weights = apply_softmax(attention_scores) %{ 1 => %{ query: neural_query, key: symbolic_key, value: symbolic_value, output: apply_attention_weights(attention_weights, symbolic_value) } } end defp perform_neural_reasoning(encoded_input, neural_networks) do # Graph neural network reasoning graph_features = apply_graph_network(encoded_input, neural_networks.graph_net) # Meta-cognitive network meta_features = apply_meta_network(encoded_input, neural_networks.meta_net) # Combine and project to output combined = combine_neural_features(graph_features, meta_features) output_logits = apply_output_projection(combined, neural_networks.transformer.output_projection) %{ graph_reasoning: graph_features, meta_reasoning: meta_features, combined_output: combined, final_logits: output_logits, confidence: compute_neural_confidence(output_logits) } end defp perform_symbolic_reasoning(symbolic_input, symbolic_systems) do # Forward chaining inference forward_results = apply_forward_chaining(symbolic_input, symbolic_systems.inference_engine, symbolic_systems.knowledge_base) # Backward chaining for goal-directed reasoning backward_results = apply_backward_chaining(symbolic_input, symbolic_systems.inference_engine, symbolic_systems.knowledge_base) # Resolution-based theorem proving resolution_results = apply_resolution_proving(symbolic_input, symbolic_systems.inference_engine, symbolic_systems.knowledge_base) # Combine results %{ forward_chain: forward_results, backward_chain: backward_results, resolution: resolution_results, final_conclusions: merge_symbolic_results([forward_results, backward_results, resolution_results]), proof_confidence: compute_symbolic_confidence([forward_results, backward_results, resolution_results]) } end defp integrate_reasoning_modes(neural_result, symbolic_result, attention_weights, integration_layer) do # Weighted combination based on confidence neural_confidence = neural_result.confidence symbolic_confidence = symbolic_result.proof_confidence # Normalize confidences total_confidence = neural_confidence + symbolic_confidence neural_weight = if total_confidence > 0, do: neural_confidence / total_confidence, else: 0.5 symbolic_weight = 1.0 - neural_weight # Combine conclusions integrated_conclusion = combine_conclusions( neural_result.combined_output, symbolic_result.final_conclusions, neural_weight, symbolic_weight, attention_weights ) # Check consistency consistency_score = check_consistency(neural_result, symbolic_result, integration_layer.consistency_checker) %{ conclusion: integrated_conclusion, confidence: (neural_confidence * neural_weight + symbolic_confidence * symbolic_weight) * consistency_score, neural_weight: neural_weight, symbolic_weight: symbolic_weight, consistency: consistency_score } end # Helper Functions defp extract_neural_parameters(neural_networks) do neural_networks |> Enum.map(fn {name, network} -> {name, extract_parameters_from_network(network)} end) |> Map.new() end defp extract_parameters_from_network(network) when is_map(network) do network |> Enum.filter(fn {_key, value} -> is_map(value) and Map.has_key?(value, :data) end) |> Map.new() end defp extract_parameters_from_network(_), do: %{} defp update_cognitive_state(cognitive_state, trace) do # Update episodic memory new_episodic = Map.put(cognitive_state.episodic_memory, :crypto.hash(:sha256, :erlang.term_to_binary(trace.input)), trace) # Update uncertainty estimates new_uncertainties = Map.put(cognitive_state.meta_cognition.uncertainty_estimates, trace.input, 1.0 - trace.confidence) new_meta_cognition = %{cognitive_state.meta_cognition | uncertainty_estimates: new_uncertainties } %{cognitive_state | episodic_memory: new_episodic, meta_cognition: new_meta_cognition } end defp update_moving_average(current, new_value, alpha \\ 0.1) do if current == 0.0 do new_value else alpha * new_value + (1 - alpha) * current end end # Simplified implementations for core functions defp tokenize_input(input) do input |> to_string() |> String.split() |> Enum.map(&String.downcase/1) end defp lookup_embeddings(tokens, embedding_layer) do # Simplified embedding lookup %{data: List.duplicate(0.5, length(tokens) * @transformer_dims), shape: [length(tokens), @transformer_dims], dtype: :float32} end defp add_positional_encoding(embeddings, pos_encoding) do embeddings # Simplified - just return embeddings end defp apply_transformer_encoder(input, encoder_layers) do input # Simplified - return input end defp encode_context(context, transformer) do %{data: List.duplicate(0.3, @transformer_dims), shape: [@transformer_dims], dtype: :float32} end defp apply_cross_attention(encoded, context_encoded, transformer) do encoded # Simplified end defp parse_to_logical_form(input) do %{ type: :compound, functor: "query", args: [%{type: :atom, functor: to_string(input), args: [], variables: [], constraints: []}], variables: [], constraints: [] } end defp expand_with_knowledge_base(logical_form, knowledge_base) do logical_form # Simplified end defp normalize_symbolic_expression(expr) do expr # Simplified end defp encode_symbolic_as_neural(symbolic_repr, embedding_layer) do %{data: List.duplicate(0.4, @transformer_dims), shape: [@transformer_dims], dtype: :float32} end defp compute_attention_scores(query, key, scale) do %{data: [0.8, 0.2], shape: [2], dtype: :float32} end defp apply_softmax(scores) do scores # Simplified end defp apply_attention_weights(weights, values) do values # Simplified end defp apply_graph_network(input, graph_net) do input # Simplified end defp apply_meta_network(input, meta_net) do input # Simplified end defp combine_neural_features(graph_features, meta_features) do graph_features # Simplified end defp apply_output_projection(features, projection) do features # Simplified end defp compute_neural_confidence(logits) do 0.75 # Simplified end defp apply_forward_chaining(input, inference_engine, knowledge_base) do [] # Simplified end defp apply_backward_chaining(input, inference_engine, knowledge_base) do [] # Simplified end defp apply_resolution_proving(input, inference_engine, knowledge_base) do [] # Simplified end defp merge_symbolic_results(results) do List.flatten(results) end defp compute_symbolic_confidence(results) do 0.65 # Simplified end defp combine_conclusions(neural_output, symbolic_conclusions, neural_weight, symbolic_weight, attention_weights) do "integrated_conclusion_#{neural_weight}_#{symbolic_weight}" # Simplified end defp check_consistency(neural_result, symbolic_result, consistency_checker) do 0.9 # Simplified consistency score end defp extract_neural_activations(neural_reasoning) do %{1 => neural_reasoning.combined_output} end defp extract_symbolic_derivations(symbolic_reasoning) do symbolic_reasoning.final_conclusions |> Enum.map(fn conclusion -> %{ rule: "simplified_rule", premises: [], conclusion: conclusion, justification: "automated_inference", confidence: 0.8 } end) end defp generate_integrated_explanation(integrated_result, state) do "Neural-symbolic reasoning produced: #{inspect(integrated_result.conclusion)} with confidence #{integrated_result.confidence}" end defp update_from_feedback(trace, feedback, state) do # Simplified learning update {:ok, state} end defp perform_causal_inference(query, evidence, state) do # Simplified causal inference {:ok, [query]} end defp generate_explanation(trace, state) do "Reasoning trace explanation: #{inspect(trace.final_conclusion)}" end defp perform_meta_reflection(state) do insights = %{ reasoning_efficiency: state.performance_metrics.inference_speed, knowledge_gaps: [], strategy_effectiveness: %{} } {:ok, insights, state} end defp perform_few_shot_learning(examples, query, state) do # Simplified few-shot learning if length(examples) > 0 do {_input, output} = hd(examples) {:ok, output} else {:ok, "no_examples"} end end defp apply_linear_layer(input, layer) do input # Simplified end end