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ob3ect

language closure tier μ∘δ licence

A self-imscribing compiler and categorical tower. An ob3ect is a program verifying its own algebraic closure: a special Frobenius algebra (A, μ, δ, η, ε) in Prog/~ with μ∘δ=id_A. Nothing enters the tower without proving its own closure.

Use

python auto.py "<description>"   # natural language → verified ob3ect
python digital/runall.py         # full 28-layer tower
python digital/run_all_imasm.py  # 12 IMASM arrangement classes + chiral pairs

Tower (28 layers + 12 arrangements)

Category → Frobenius → Fixed-Point → Hopf → Monad → Entropy (H=3.6636 b/c) → Topos → CCC → Quantum → Linear Logic → IVM → Traced (yanking) → HoTT (univalence) → Imscription OS (10 procs) → ProofBridge → String Diagrams → IMASM Self-Imscription → Auto-Imscriber → Yoneda → Operad → Sheaf → Dagger Compact → Galois → Stone → Presheaf → Kan → Adjoint → Initial/Terminal - every layer Closure: True. Plus 12 Novel Arrangements (I Dialetheic Bootstrap O₂ … XII Chiral Pairs) on the dialetheic register machine (2-bit VO⌀/T/F/B⬡).

Key results

Vessel Principle: IMASM token algebra resolves finer than the 12-primitive crystal (XII confirms). ZFC_fe terminal vessel. Lean 4 Descent ≡ Zosimos Katabasis. Descent chain v0.1 (Python) → v0.10 (bare-metal x86 ISO); frob.py seed; Lean proofs in proofs/. Manual path: boundary → opcode map (all 12) → Frobenius gate → register map → phases 4–7. Editorial/lift ob3ects + IG coordinates + auto API (auto.py, sync/async) in full version.

Layout: auto.py, digital/ (tower + imasm_core.py + frob.py), proofs/. Full 1191-line version: README_backups/ob3ect_README.md.

μ∘δ = id