| """
|
| 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
|
|
|