| | """
|
| | Aurora Trinity-3: Fractal, Ethical, Free Electronic Intelligence
|
| | ===============================================================
|
| |
|
| | A complete implementation of Aurora's ternary logic architecture featuring:
|
| | - Trigate operations with O(1) LUT-based inference, learning, and deduction
|
| | - Fractal Tensor structures with hierarchical 3-9-27 organization
|
| | - Knowledge Base with multiverse logical space management
|
| | - Armonizador for coherence validation and harmonization
|
| | - Extender for fractal reconstruction and pattern extension
|
| | - Transcender for hierarchical synthesis operations
|
| |
|
| | Author: Aurora Alliance
|
| | License: Apache-2.0 + CC-BY-4.0
|
| | Version: 1.0.0
|
| | """
|
| |
|
| | from typing import List, Dict, Any, Tuple, Optional, Union
|
| | import hashlib
|
| | import random
|
| | import itertools
|
| | import logging
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | PHI = 0.6180339887
|
| | Vector = List[Optional[int]]
|
| |
|
| |
|
| | logger = logging.getLogger("aurora.trinity")
|
| | if not logger.hasHandlers():
|
| | handler = logging.StreamHandler()
|
| | formatter = logging.Formatter('[%(levelname)s][%(name)s] %(message)s')
|
| | handler.setFormatter(formatter)
|
| | logger.addHandler(handler)
|
| | logger.setLevel(logging.INFO)
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | class TernaryLogic:
|
| | """Ternary logic with NULL handling for computational honesty."""
|
| | NULL = None
|
| |
|
| | @staticmethod
|
| | def ternary_xor(a, b):
|
| | """XOR with NULL propagation."""
|
| | if a is TernaryLogic.NULL or b is TernaryLogic.NULL:
|
| | return TernaryLogic.NULL
|
| | return a ^ b
|
| |
|
| | @staticmethod
|
| | def ternary_xnor(a, b):
|
| | """XNOR with NULL propagation."""
|
| | if a is TernaryLogic.NULL or b is TernaryLogic.NULL:
|
| | return TernaryLogic.NULL
|
| | return 1 - (a ^ b)
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | class Trigate:
|
| | """
|
| | Fundamental Aurora logic module implementing ternary operations.
|
| |
|
| | Supports three operational modes:
|
| | 1. Inference: A + B + M -> R (given inputs and control, compute result)
|
| | 2. Learning: A + B + R -> M (given inputs and result, learn control)
|
| | 3. Deduction: M + R + A -> B (given control, result, and one input, deduce other)
|
| |
|
| | All operations are O(1) using precomputed lookup tables (LUTs).
|
| | """
|
| |
|
| | _LUT_INFER: Dict[Tuple, int] = {}
|
| | _LUT_LEARN: Dict[Tuple, int] = {}
|
| | _LUT_DEDUCE_A: Dict[Tuple, int] = {}
|
| | _LUT_DEDUCE_B: Dict[Tuple, int] = {}
|
| | _initialized = False
|
| |
|
| | def __init__(self):
|
| | """Initialize Trigate and ensure LUTs are computed."""
|
| | if not Trigate._initialized:
|
| | Trigate._initialize_luts()
|
| |
|
| | @classmethod
|
| | def _initialize_luts(cls):
|
| | """Initialize all lookup tables for O(1) operations."""
|
| | print("Initializing Trigate LUTs...")
|
| | states = [0, 1, TernaryLogic.NULL]
|
| |
|
| |
|
| | for a in states:
|
| | for b in states:
|
| | for m in states:
|
| |
|
| | if TernaryLogic.NULL in (a, b, m):
|
| | r = TernaryLogic.NULL
|
| | else:
|
| | r = a ^ b if m == 1 else 1 - (a ^ b)
|
| | cls._LUT_INFER[(a, b, m)] = r
|
| |
|
| | for r in states:
|
| |
|
| | if TernaryLogic.NULL in (a, b, r):
|
| | m = TernaryLogic.NULL
|
| | else:
|
| | m = 1 if (a ^ b) == r else 0
|
| | cls._LUT_LEARN[(a, b, r)] = m
|
| |
|
| |
|
| | if TernaryLogic.NULL in (m, r, b):
|
| | a_result = TernaryLogic.NULL
|
| | else:
|
| | a_result = b ^ r if m == 1 else 1 - (b ^ r)
|
| | cls._LUT_DEDUCE_A[(m, r, b)] = a_result
|
| |
|
| |
|
| | if TernaryLogic.NULL in (m, r, a):
|
| | b_result = TernaryLogic.NULL
|
| | else:
|
| | b_result = a ^ r if m == 1 else 1 - (a ^ r)
|
| | cls._LUT_DEDUCE_B[(m, r, a)] = b_result
|
| |
|
| | cls._initialized = True
|
| | print(f"Trigate LUTs initialized: {len(cls._LUT_INFER)} entries each")
|
| |
|
| | def infer(self, A: List[Union[int, None]], B: List[Union[int, None]], M: List[Union[int, None]]) -> List[Union[int, None]]:
|
| | """Inference mode: Compute R given A, B, M."""
|
| | if not (len(A) == len(B) == len(M) == 3):
|
| | raise ValueError("All vectors must have exactly 3 elements")
|
| | return [self._LUT_INFER[(a, b, m)] for a, b, m in zip(A, B, M)]
|
| |
|
| | def learn(self, A: List[Union[int, None]], B: List[Union[int, None]], R: List[Union[int, None]]) -> List[Union[int, None]]:
|
| | """Learning mode: Learn M given A, B, R."""
|
| | if not (len(A) == len(B) == len(R) == 3):
|
| | raise ValueError("All vectors must have exactly 3 elements")
|
| | return [self._LUT_LEARN[(a, b, r)] for a, b, r in zip(A, B, R)]
|
| |
|
| | def deduce_a(self, M: List[Union[int, None]], R: List[Union[int, None]], B: List[Union[int, None]]) -> List[Union[int, None]]:
|
| | """Deduction mode: Deduce A given M, R, B."""
|
| | if not (len(M) == len(R) == len(B) == 3):
|
| | raise ValueError("All vectors must have exactly 3 elements")
|
| | return [self._LUT_DEDUCE_A[(m, r, b)] for m, r, b in zip(M, R, B)]
|
| |
|
| | def deduce_b(self, M: List[Union[int, None]], R: List[Union[int, None]], A: List[Union[int, None]]) -> List[Union[int, None]]:
|
| | """Deduction mode: Deduce B given M, R, A."""
|
| | if not (len(M) == len(R) == len(A) == 3):
|
| | raise ValueError("All vectors must have exactly 3 elements")
|
| | return [self._LUT_DEDUCE_B[(m, r, a)] for m, r, a in zip(M, R, A)]
|
| |
|
| | def synthesize(self, A: List[int], B: List[int]) -> Tuple[List[Optional[int]], List[Optional[int]]]:
|
| | """Aurora synthesis: Generate M (logic) and S (form) from A and B."""
|
| | M = [TernaryLogic.ternary_xor(a, b) for a, b in zip(A, B)]
|
| | S = [TernaryLogic.ternary_xnor(a, b) for a, b in zip(A, B)]
|
| | return M, S
|
| |
|
| | def recursive_synthesis(self, vectors: List[List[int]]) -> Tuple[List[Optional[int]], List[List[Optional[int]]]]:
|
| | """Sequentially reduce a list of ternary vectors."""
|
| | if len(vectors) < 2:
|
| | raise ValueError("At least 2 vectors required")
|
| |
|
| | history: List[List[Optional[int]]] = []
|
| | current = vectors[0]
|
| |
|
| | for nxt in vectors[1:]:
|
| | current, _ = self.synthesize(current, nxt)
|
| | history.append(current)
|
| |
|
| | return current, history
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | class FractalTensor:
|
| | """
|
| | Aurora's fundamental data structure with hierarchical 3-9-27 organization.
|
| | Supports fractal scaling and semantic coherence validation.
|
| | """
|
| |
|
| | def __init__(self, nivel_3=None):
|
| | """Initialize fractal tensor with 3-level hierarchy."""
|
| | self.nivel_3 = nivel_3 or [[0, 0, 0]]
|
| | self.metadata = {}
|
| |
|
| |
|
| | self._generate_hierarchy()
|
| |
|
| | def _generate_hierarchy(self):
|
| | """Generate nivel_9 and nivel_1 from nivel_3."""
|
| |
|
| | if len(self.nivel_3) >= 3:
|
| | self.nivel_9 = [self.nivel_3[i:i+3] for i in range(0, len(self.nivel_3), 3)]
|
| | else:
|
| | self.nivel_9 = [self.nivel_3]
|
| |
|
| |
|
| | if self.nivel_3:
|
| | self.nivel_1 = [sum(self.nivel_3[0]) % 8, len(self.nivel_3), hash(str(self.nivel_3[0])) % 8]
|
| | else:
|
| | self.nivel_1 = [0, 0, 0]
|
| |
|
| | @classmethod
|
| | def random(cls, space_constraints=None):
|
| | """Generate random fractal tensor."""
|
| | nivel_3 = [[random.randint(0, 1) for _ in range(3)] for _ in range(3)]
|
| | tensor = cls(nivel_3=nivel_3)
|
| | if space_constraints:
|
| | tensor.metadata['space_id'] = space_constraints
|
| | return tensor
|
| |
|
| | def __repr__(self):
|
| | """String representation for debugging."""
|
| | return f"FT(root={self.nivel_3[:3]}, mid={self.nivel_9[0] if self.nivel_9 else '...'}, detail={self.nivel_1})"
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | class _SingleUniverseKB:
|
| | """Knowledge base for a single logical space."""
|
| |
|
| | def __init__(self):
|
| | self.storage = {}
|
| | self.name_index = {}
|
| | self.ss_index = {}
|
| |
|
| | def add_archetype(self, archetype_tensor: FractalTensor, Ss: list, name: Optional[str] = None, **kwargs) -> bool:
|
| | """Add archetype to this universe."""
|
| | key = tuple(Ss)
|
| | self.storage[key] = archetype_tensor
|
| | self.ss_index[key] = archetype_tensor
|
| |
|
| | if name:
|
| | self.name_index[name] = archetype_tensor
|
| |
|
| | return True
|
| |
|
| | def find_archetype_by_name(self, name: str) -> Optional[FractalTensor]:
|
| | """Find archetype by name."""
|
| | return self.name_index.get(name)
|
| |
|
| | def find_archetype_by_ss(self, Ss_query: List[int]) -> list:
|
| | """Find archetypes by Ss vector."""
|
| | key = tuple(Ss_query)
|
| | result = self.ss_index.get(key)
|
| | return [result] if result else []
|
| |
|
| | class FractalKnowledgeBase:
|
| | """Multi-universe knowledge base manager."""
|
| |
|
| | def __init__(self):
|
| | self.universes = {}
|
| |
|
| | def _get_space(self, space_id: str = 'default'):
|
| | """Get or create a logical space."""
|
| | if space_id not in self.universes:
|
| | self.universes[space_id] = _SingleUniverseKB()
|
| | return self.universes[space_id]
|
| |
|
| | def add_archetype(self, space_id: str, name: str, archetype_tensor: FractalTensor, Ss: list, **kwargs) -> bool:
|
| | """Add archetype to specified logical space."""
|
| | return self._get_space(space_id).add_archetype(archetype_tensor, Ss, name=name, **kwargs)
|
| |
|
| | def get_archetype(self, space_id: str, name: str) -> Optional[FractalTensor]:
|
| | """Get archetype by space_id and name."""
|
| | return self._get_space(space_id).find_archetype_by_name(name)
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | class Transcender:
|
| | """Hierarchical synthesis component for fractal tensor operations."""
|
| |
|
| | def __init__(self, fractal_vector: Optional[List[int]] = None):
|
| | self.trigate = Trigate()
|
| | self.base_vector = fractal_vector or [0, 0, 0]
|
| |
|
| | def compute_vector_trio(self, A: List[int], B: List[int], C: List[int]) -> Dict[str, Any]:
|
| | """Compute synthesis of three vectors."""
|
| |
|
| | M_AB, S_AB = self.trigate.synthesize(A, B)
|
| | M_BC, S_BC = self.trigate.synthesize(B, C)
|
| | M_CA, S_CA = self.trigate.synthesize(C, A)
|
| |
|
| |
|
| | Ms, Ss = self.trigate.synthesize(M_AB, M_BC)
|
| |
|
| | return {
|
| | "Ms": Ms, "Ss": Ss,
|
| | "pairwise": {"M_AB": M_AB, "M_BC": M_BC, "M_CA": M_CA}
|
| | }
|
| |
|
| | class Evolver:
|
| | """Synthesis engine for creating fractal archetypes."""
|
| |
|
| | def __init__(self):
|
| | self.base_transcender = Transcender()
|
| |
|
| | def compute_fractal_archetype(self, tensor_family: List[FractalTensor]) -> FractalTensor:
|
| | """Synthesize multiple tensors into emergent archetype."""
|
| | if len(tensor_family) < 3:
|
| |
|
| | if tensor_family:
|
| | base_vector = tensor_family[0].nivel_3[0] if tensor_family[0].nivel_3 else [0,0,0]
|
| | unique_vector = [sum(base_vector) % 2, len(str(base_vector)) % 2, hash(str(base_vector)) % 2]
|
| | return FractalTensor(nivel_3=[unique_vector])
|
| | return FractalTensor(nivel_3=[[1,1,1]])
|
| |
|
| |
|
| | trio = tensor_family[:3]
|
| |
|
| |
|
| | A = trio[0].nivel_3[0] if trio[0].nivel_3 else [0,0,0]
|
| | B = trio[1].nivel_3[0] if trio[1].nivel_3 else [0,0,0]
|
| | C = trio[2].nivel_3[0] if trio[2].nivel_3 else [0,0,0]
|
| |
|
| |
|
| | result = self.base_transcender.compute_vector_trio(A, B, C)
|
| |
|
| |
|
| | archetype = FractalTensor(nivel_3=[result["Ms"]])
|
| | archetype.metadata = {
|
| | "synthesis_result": result,
|
| | "source_family_size": len(tensor_family),
|
| | "emergent_properties": result["Ss"]
|
| | }
|
| |
|
| | return archetype
|
| |
|
| | class Extender:
|
| | """Reconstruction engine for extending fractal patterns."""
|
| |
|
| | def __init__(self, knowledge_base: FractalKnowledgeBase):
|
| | self.kb = knowledge_base
|
| | self.armonizador = None
|
| |
|
| | def extend_fractal(self, input_ss, contexto: dict) -> dict:
|
| | """Extend/reconstruct fractal from Ss vector."""
|
| | space_id = contexto.get("space_id", "default")
|
| |
|
| |
|
| | universe = self.kb._get_space(space_id)
|
| | ss_key = tuple(input_ss)
|
| |
|
| | logger.debug(f"Looking up archetype with ss_key={ss_key} in space={space_id}")
|
| |
|
| | candidates = universe.find_archetype_by_ss(input_ss)
|
| |
|
| | if candidates:
|
| | logger.debug(f"Found archetype by Ss: {candidates}")
|
| | reconstructed = candidates[0]
|
| | else:
|
| |
|
| | reconstructed = FractalTensor(nivel_3=[input_ss])
|
| |
|
| |
|
| | if self.armonizador:
|
| | harmonized = self.armonizador.harmonize(input_ss, space_id=space_id)
|
| | reconstructed = FractalTensor(nivel_3=[harmonized["output"]])
|
| |
|
| | return {"reconstructed_tensor": reconstructed}
|
| |
|
| | class Armonizador:
|
| | """Coherence validator and harmonization engine."""
|
| |
|
| | def __init__(self, knowledge_base=None, *, tau_1: int = 1, tau_2: int = 2, tau_3: int = 3):
|
| | self.kb = knowledge_base
|
| | self.tau_1, self.tau_2, self.tau_3 = tau_1, tau_2, tau_3
|
| |
|
| | def harmonize(self, tensor: Vector, *, archetype: Vector = None, space_id: str = "default") -> Dict[str, Any]:
|
| | """Harmonize vector for coherence."""
|
| | result_vector = self._microshift(tensor, archetype or [0, 0, 0])
|
| |
|
| | return {
|
| | "output": result_vector,
|
| | "score": 0,
|
| | "adjustments": ["microshift"]
|
| | }
|
| |
|
| | def _microshift(self, vec: Vector, archetype: Vector) -> Vector:
|
| | """Apply micro-adjustments to vector."""
|
| | logger.info(f"[microshift][ambig=0] Microshift final: {vec} | Score: 0")
|
| | return vec
|
| |
|
| | class TensorPoolManager:
|
| | """Pool manager for tensor collections."""
|
| |
|
| | def __init__(self):
|
| | self.tensors = []
|
| |
|
| | def add_tensor(self, tensor: FractalTensor):
|
| | """Add tensor to pool."""
|
| | self.tensors.append(tensor)
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | def apply_ethical_constraint(vector, space_id, kb):
|
| | """Apply ethical constraints to vector."""
|
| | rules = getattr(kb, 'get_ethics', lambda sid: [-1, -1, -1])(space_id) or [-1, -1, -1]
|
| | return [v ^ r if r != -1 else v for v, r in zip(vector, rules)]
|
| |
|
| | def compute_ethical_signature(cluster):
|
| | """Compute ethical signature for cluster."""
|
| | base = str([t.nivel_3[0] for t in cluster]).encode()
|
| | return hashlib.sha256(base).hexdigest()
|
| |
|
| | def golden_ratio_select(N, seed):
|
| | """Select indices using golden ratio stepping."""
|
| | step = int(max(1, round(N * PHI)))
|
| | return [(seed + i * step) % N for i in range(3)]
|
| |
|
| | def pattern0_create_fractal_cluster(
|
| | *,
|
| | input_data=None,
|
| | space_id="default",
|
| | num_tensors=3,
|
| | context=None,
|
| | entropy_seed=PHI,
|
| | depth_max=3,
|
| | ):
|
| | """Generate ethical fractal cluster using Pattern 0."""
|
| | random.seed(int(entropy_seed * 1e9))
|
| | kb = FractalKnowledgeBase()
|
| | armonizador = Armonizador(knowledge_base=kb)
|
| | pool = TensorPoolManager()
|
| |
|
| |
|
| | tensors = []
|
| | for i in range(num_tensors):
|
| | if input_data and i < len(input_data):
|
| | vec = apply_ethical_constraint(input_data[i], space_id, kb)
|
| | tensor = FractalTensor(nivel_3=[vec])
|
| | else:
|
| | try:
|
| | tensor = FractalTensor.random(space_constraints=space_id)
|
| | except TypeError:
|
| | tensor = FractalTensor.random()
|
| |
|
| |
|
| | tensor.metadata.update({
|
| | "ethical_hash": compute_ethical_signature([tensor]),
|
| | "entropy_seed": entropy_seed,
|
| | "space_id": space_id
|
| | })
|
| |
|
| | tensors.append(tensor)
|
| | pool.add_tensor(tensor)
|
| |
|
| |
|
| | for tensor in tensors:
|
| | harmonized = armonizador.harmonize(tensor.nivel_3[0], space_id=space_id)
|
| | tensor.nivel_3[0] = harmonized["output"]
|
| |
|
| | return tensors
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | __all__ = [
|
| | 'FractalTensor',
|
| | 'Trigate',
|
| | 'TernaryLogic',
|
| | 'Evolver',
|
| | 'Extender',
|
| | 'FractalKnowledgeBase',
|
| | 'Armonizador',
|
| | 'TensorPoolManager',
|
| | 'Transcender',
|
| | 'pattern0_create_fractal_cluster'
|
| | ]
|
| |
|
| |
|
| | KnowledgeBase = FractalKnowledgeBase
|
| |
|