Files
blackroad-operating-system/packs/research-lab/math/lucidia_math_lab/recursion_sandbox.py
Alexa Louise 0108860bff feat: Add Research Lab pack with paralleled math modules
Create comprehensive research-lab pack structure with mathematical
and quantum computing modules from blackroad-prism-console:

Math Modules:
- hilbert_core.py: Hilbert space symbolic reasoning
- collatz/: Distributed Collatz conjecture verification
- linmath/: Linear mathematics C library
- lucidia_math_forge/: Symbolic proof engine
- lucidia_math_lab/: Experimental mathematics

Quantum Modules:
- lucidia_quantum/: Quantum core
- quantum_engine/: Circuit simulation

Experiments:
- br_math/: Gödel gap, quantum experiments

Includes pack.yaml manifest and comprehensive README.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
2025-11-28 23:49:03 -06:00

35 lines
1.0 KiB
Python

"""Recursive equation sandbox for detecting contradictions."""
from __future__ import annotations
import json
from dataclasses import dataclass, field
from pathlib import Path
from typing import List
import sympy as sp
@dataclass
class RecursiveSandbox:
log_path: Path = Path("contradiction_log.json")
log: List[dict] = field(default_factory=list)
def parse_equation(self, equation: str) -> sp.Eq:
lhs, rhs = equation.split("=")
return sp.Eq(sp.sympify(lhs.strip()), sp.sympify(rhs.strip()))
def detect_contradiction(self, equation: str) -> bool:
"""Detect simple self-referential contradictions."""
if "f(f(" in equation:
self.log_contradiction(equation, "self_reference")
return True
return False
def log_contradiction(self, equation: str, reason: str) -> None:
entry = {"equation": equation, "reason": reason}
self.log.append(entry)
with open(self.log_path, "w", encoding="utf-8") as fh:
json.dump(self.log, fh, indent=2)