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Furox-Art/README.md

Furox — Scientific computing, mathematical modeling, AI reasoning and verification

Independent researcher & developer building rigorous, auditable systems for scientific computing, mathematical modeling, AI reasoning, and verification.
Reproducible computation · explicit assumptions · deterministic verification · falsifiable models


Public Projects

A model-agnostic reasoning protocol for difficult, ambiguous, and multi-step problems. Instead of committing early to one answer, it maintains materially different candidate paths, verifies them independently with evidence and tools, detects shared assumptions and contradictions, reallocates compute as uncertainty changes, preserves recoverable dormant branches, and collapses only when one result is sufficiently supported. It runs on classical AI models and hardware; it is quantum-inspired reasoning, not quantum computation.

multi-branch reasoning · falsification · adaptive compute · branch revival · model-agnostic skill

An independent deterministic verification supervisor for AI coding agents. It turns requirements and implementation plans into auditable execution contracts, tracks dependency/output DAGs, can automatically compile structured plans into conservative STRIPS contracts, verifies reachability and exact recompilation, seals verification state cryptographically, records hash-chained execution evidence, and gates completion across single- or multi-agent work with PASS / FAIL / UNKNOWN.

v2.4.0 · agent verification · STRIPS/PDDL · cryptographic sealing · evidence chains

A versioned scientific modeling engine and Agent Skill built around a machine-readable Model IR. It supports native algebraic, ODE, PDE, DAE, stochastic, optimization, control, network, Bayesian, agent-based, discrete-event, hybrid, multiphysics, and causal modeling workflows, with fitting, uncertainty analysis, causal identification, Bayesian diagnostics, numerical verification, reproducible provenance, portable scientific export, and optional PyMC, JAX, Lean, and FEniCS/DOLFINx integrations.

v1.12.2 · Model IR · simulation & fitting · causal/Bayesian inference · scientific verification

A production-oriented scientific computing platform built on NumPy, SciPy, pandas, and matplotlib. Its current 5.x line spans 40+ scientific domains and adds guided model fitting with uncertainty, held-out validation, residual diagnostics and reproducibility manifests; compiled C acceleration kernels with safe fallbacks; optional CuPy GPU execution; NumPy Array API support; scikit-learn-compatible estimators; and property, fuzz, oracle, cross-platform wheel, and benchmark-regression testing.

v5.2.4 · 40+ domains · guided scientific fitting · C/GPU acceleration · scientific Python

A zero-runtime-dependency, pure-Python computational science platform whose algorithms are implemented in readable Python rather than hidden behind compiled numerical libraries. It covers numerical methods, linear algebra, statistics, probability, optimization, interpolation, ODE/PDE solvers, signal processing, machine learning, Monte Carlo/MCMC, quantum simulation, symbolic modeling, dimensional/scientific utilities, knowledge tools, and structured falsifiable hypothesis generation, with optional scientific backends available separately.

pure Python · zero runtime dependencies · from-scratch algorithms · numerical science · hypothesis generation


Current focus
scientific computing · mathematical & computational modeling · quantum-inspired AI reasoning · agent verification · reproducible research software

Technical stack

Python 3.10+ · NumPy · SciPy · pandas · Matplotlib · SymPy · statsmodels · NetworkX · Z3 · CVXPY · CasADi · pytest · mypy --strict · ruff · GitHub Actions · optional PyMC / JAX / FEniCS / CuPy

Pinned Loading

  1. scientific-computing-system scientific-computing-system Public

    Cognitive Discovery System - pure Python scientific computing: quantum, ML (PCA/k-means/kNN), stats, stiff ODE solvers. 22 modules, zero runtime deps.

    Python 6 2

  2. axiomize axiomize Public

    Versioned scientific modeling engine and Agent Skill with Model IR, simulation, fitting, uncertainty, causal/Bayesian inference, formal/numerical validation, reproducible export, REST, MCP and CLI.

    Python 2

  3. scientific-computing-system-2.0 scientific-computing-system-2.0 Public

    Scientific computing platform on NumPy/SciPy/pandas/matplotlib: linear algebra, stats, optimization, signals, ML, information theory, chaos, Bayes, metaheuristics, geometry and RL.

    Python 1

  4. plan-auditor plan-auditor Public

    Strict plan + independent auditor Agent Skill — verifies AI agent work with real command evidence, never trusts the agent's report

    Python

  5. quantum-reasoning-skill quantum-reasoning-skill Public

    A quantum-inspired reasoning skill for exploring, scoring, pruning, and merging multiple solution paths.

    Python