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