#!/usr/bin/env python3 # ============================================================================== # COPYRIGHT NO ONE EVERYWHERE LLC (WYOMING HOLDING COMPANY) # PROJECT: SOVEREIGN STACK # This artifact is entirely proprietary and cryptographically proven. # Open-Source usage requires explicit permission from Brandon Scott Schneider. # ============================================================================== """Reference helpers for attention-stage and multipath cognitive load tests. This module is intentionally small and boring. It is not the whole runtime router. It is a clean-room reference implementation for the equations in: - 6-Documentation/docs/ATTENTION_SURFACE_REFINEMENT_OF_CANONICAL_EQUATION_2026-04-09.md - 6-Documentation/docs/MULTIPATH_COGNITIVE_LOAD_REFINEMENT_2026-04-09.md The goal is to make the emerging mechanics testable before they sprawl. """ from __future__ import annotations from dataclasses import dataclass, field import math from typing import Iterable, Mapping def _clamp01(value: float) -> float: return max(0.0, min(1.0, float(value))) @dataclass(frozen=True) class SourceObservation: """A single source-family observation over one or more candidates.""" source_id: str family_weight: float = 1.0 freshness: float = 1.0 health: float = 1.0 trust: float = 1.0 support: Mapping[str, float] = field(default_factory=dict) @dataclass(frozen=True) class AttentionBreakdown: """Explainable score components for one candidate.""" candidate: str convergence: float contradiction: float degradation: float hot_cost: float total: float @dataclass(frozen=True) class LoadBreakdown: """Weighted multipath load components.""" intrinsic: float extraneous: float germane: float routing: float memory: float total: float def effective_evidence_weight(observation: SourceObservation) -> float: """Combine source-family weight with freshness, health, and trust.""" return max(0.0, float(observation.family_weight)) * ( _clamp01(observation.freshness) * _clamp01(observation.health) * _clamp01(observation.trust) ) def _support_value(observation: SourceObservation, candidate: str) -> float: return max(0.0, float(observation.support.get(candidate, 0.0))) def convergence_score( candidate: str, observations: Iterable[SourceObservation], ) -> float: """Weighted positive support for a candidate across source families.""" total = 0.0 for observation in observations: total += effective_evidence_weight(observation) * _support_value( observation, candidate ) return total def contradiction_score( candidate: str, observations: Iterable[SourceObservation], ) -> float: """Pairwise disagreement over the same candidate. High disagreement can increase attention while still failing the truth gate. """ scored = [] for observation in observations: weight = effective_evidence_weight(observation) support = _support_value(observation, candidate) scored.append((weight, support)) total = 0.0 for i in range(len(scored)): weight_i, support_i = scored[i] for j in range(i + 1, len(scored)): weight_j, support_j = scored[j] total += weight_i * weight_j * abs(support_i - support_j) return total def degradation_penalty( candidate: str, observations: Iterable[SourceObservation], ) -> float: """Penalty for leaning on stale, unhealthy, or weakly trusted evidence.""" total = 0.0 for observation in observations: raw_weight = max(0.0, float(observation.family_weight)) quality = ( _clamp01(observation.freshness) * _clamp01(observation.health) * _clamp01(observation.trust) ) total += raw_weight * (1.0 - quality) * _support_value(observation, candidate) return total def attention_score( candidate: str, observations: Iterable[SourceObservation], *, alpha_conv: float = 1.0, alpha_ctr: float = 1.0, alpha_deg: float = 1.0, alpha_hot: float = 1.0, hot_cost: float = 0.0, ) -> AttentionBreakdown: """Compute the attention-stage score for a candidate.""" convergence = convergence_score(candidate, observations) contradiction = contradiction_score(candidate, observations) degradation = degradation_penalty(candidate, observations) total = ( alpha_conv * convergence + alpha_ctr * contradiction - alpha_deg * degradation - alpha_hot * max(0.0, float(hot_cost)) ) return AttentionBreakdown( candidate=candidate, convergence=convergence, contradiction=contradiction, degradation=degradation, hot_cost=max(0.0, float(hot_cost)), total=total, ) def promote_candidates( scores: Mapping[str, float], threshold: float, ) -> set[str]: """Return the promoted candidate set.""" return {candidate for candidate, score in scores.items() if score >= threshold} def softmax_activation( scores: Mapping[str, float], *, beta: float = 1.0, top_k: int | None = None, ) -> dict[str, float]: """Convert attention scores into a bounded activation field.""" if not scores: return {} ordered = sorted(scores.items(), key=lambda item: (-item[1], item[0])) if top_k is not None: if top_k <= 0: return {} ordered = ordered[:top_k] max_score = max(score for _, score in ordered) weights = { candidate: math.exp(float(beta) * (score - max_score)) for candidate, score in ordered } denom = sum(weights.values()) if denom == 0.0: return {candidate: 0.0 for candidate in weights} return {candidate: value / denom for candidate, value in weights.items()} def activation_entropy(activations: Mapping[str, float]) -> float: """Shannon entropy of the activation field in bits.""" total = 0.0 for probability in activations.values(): if probability > 0.0: total -= probability * math.log2(probability) return total def support_size(activations: Mapping[str, float]) -> int: """Number of paths with nonzero activation mass.""" return sum(1 for value in activations.values() if value > 0.0) def premature_collapse_penalty( activations: Mapping[str, float], viable_paths: Iterable[str], *, min_secondary_mass: float = 0.2, ) -> float: """Penalty when a viable second path is collapsed too early.""" masses = sorted( (max(0.0, float(activations.get(path, 0.0))) for path in viable_paths), reverse=True, ) if len(masses) < 2: return 0.0 return max(0.0, float(min_secondary_mass) - masses[1]) def overdiffuse_penalty( activations: Mapping[str, float], *, max_active_paths: int = 3, max_entropy_bits: float = 1.5, ) -> float: """Penalty when the activation field spreads too wide.""" active_excess = max(0, support_size(activations) - int(max_active_paths)) entropy_excess = max(0.0, activation_entropy(activations) - float(max_entropy_bits)) return float(active_excess) + entropy_excess def multipath_extraneous_load( path_mismatch: Mapping[str, float], activations: Mapping[str, float], *, viable_paths: Iterable[str] | None = None, mu_prem: float = 1.0, mu_diff: float = 1.0, min_secondary_mass: float = 0.2, max_active_paths: int = 3, max_entropy_bits: float = 1.5, ) -> float: """Reference multipath extraneous-load calculation.""" weighted_mismatch = 0.0 for path, mass in activations.items(): weighted_mismatch += float(mass) * max(0.0, float(path_mismatch.get(path, 0.0))) viable = viable_paths if viable_paths is not None else activations.keys() prem = premature_collapse_penalty( activations, viable, min_secondary_mass=min_secondary_mass, ) diffuse = overdiffuse_penalty( activations, max_active_paths=max_active_paths, max_entropy_bits=max_entropy_bits, ) return weighted_mismatch + float(mu_prem) * prem + float(mu_diff) * diffuse def multipath_routing_load( attention_cost: float, activations: Mapping[str, float], *, maintain_coeff: float = 1.0, entropy_coeff: float = 1.0, collapse_cost: float = 0.0, ) -> float: """Reference routing-load split into attention, maintenance, and collapse.""" return ( max(0.0, float(attention_cost)) + float(maintain_coeff) * support_size(activations) + float(entropy_coeff) * activation_entropy(activations) + max(0.0, float(collapse_cost)) ) def multipath_memory_load( store_size: int, activations: Mapping[str, float], *, memory_hits: Iterable[str] | None = None, retrieval_cost: float = 1.0, update_cost: float = 1.0, eviction_pressure: float = 0.0, conflict_penalty: float = 0.0, ) -> float: """Reference ensemble memory-load calculation.""" hits = set(memory_hits or ()) hit_mass = sum( float(mass) for path, mass in activations.items() if path in hits and mass > 0.0 ) return ( math.log2(max(1, int(store_size))) + float(retrieval_cost) * hit_mass + max(0.0, float(update_cost)) + max(0.0, float(eviction_pressure)) + max(0.0, float(conflict_penalty)) ) def truth_gate( *, consensus_sources: int, min_sources: int = 2, onchain_verified: bool, recovery_matches: bool, ) -> bool: """Conservative truth gate used after attention promotion.""" return ( int(consensus_sources) >= int(min_sources) and bool(onchain_verified) and bool(recovery_matches) ) def total_multipath_load( *, intrinsic: float, extraneous: float, germane: float, routing: float, memory: float, lambda_i: float = 1.0, lambda_e: float = 1.0, lambda_g: float = 1.0, lambda_r: float = 1.0, lambda_m: float = 1.0, ) -> LoadBreakdown: """Assemble weighted total load from already-computed components.""" total = ( float(lambda_i) * float(intrinsic) + float(lambda_e) * float(extraneous) - float(lambda_g) * float(germane) + float(lambda_r) * float(routing) + float(lambda_m) * float(memory) ) return LoadBreakdown( intrinsic=float(intrinsic), extraneous=float(extraneous), germane=float(germane), routing=float(routing), memory=float(memory), total=total, )