mirror of
https://github.com/allaunthefox/Research-Stack.git
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453a366949
- Prover-Integrated Orchestration Layers (L0-L3): Goedel-Prover-V2 watchdog, BFS-Prover-V2 swarm consensus, bf4prover topology adaptation - FAMM Verilator benchmark: uniform vs preshaped delay comparison (4.4x speedup) - Swarm topological device prober: 11 agents probing traces, caps, delays, errors, vias, PDN - Spec sheet puller: 10 components with key params and topological relevance - Virtual FPGA system tests: 6/6 passed, 134K ops/s throughput - Fixed merge conflicts in AI-Newton test_experiment.ipynb
364 lines
12 KiB
Python
364 lines
12 KiB
Python
#!/usr/bin/env python3
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"""
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Use Research Stack Prover Infrastructure to Fix Q32.32 Implementation
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=======================================================================
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Routes the Q32.32 implementation through the integrated prover pipeline
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to fix the 5 identified issues:
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1. Wrong precision (Q32.32 → Q16.16)
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2. Missing totality theorems
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3. Unjustified damping
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4. No Wolfram Alpha verification
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5. Division by zero not handled
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Provers Used:
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- bf4prover: Generate totality theorems for sorry blocks
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- Goedel-Prover-V2: Prove the theorems
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- bfs_prover: Audit final verification
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"""
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import subprocess
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import sys
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from pathlib import Path
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# Add paths for imports
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sys.path.append(str(Path("/home/allaun/Documents/Research Stack")))
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sys.path.append(str(Path("/home/allaun/Documents/Research Stack/scripts")))
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RESEARCH_STACK = Path("/home/allaun/Documents/Research Stack")
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def create_lean_file_with_sorry():
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"""
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Create a Lean 4 file with the corrected Q16.16 implementation
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and `sorry` placeholders for theorems that need proving.
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"""
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lean_code = '''import Mathlib.Data.Int.Basic
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import Mathlib.Data.Array.Basic
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/-
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F01-F12 Foundation: Q16.16 Fixed-Point Arithmetic
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Prover: Goedel-Prover-V2 + bf4prover
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Status: Awaiting theorem proofs
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Issues being fixed:
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1. Q32.32 → Q16.16 (compliance with Research Stack standard)
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2. Totality theorems for all operations
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3. Convergence proof (no arbitrary damping)
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4. Wolfram Alpha verified constants
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5. Division by zero handling
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-/
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-- Q16.16 fixed-point: 16 integer bits, 16 fraction bits
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abbrev Q16_16 := Int32
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def Q16_16.SCALE : Int := 65536 -- 2^16
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def Q16_16.HALF : Int := 32768 -- 2^15 (for rounding)
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namespace Q16_16
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-- Convert Int to Q16.16
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def fromInt (n : Int) : Q16_16 := (n * SCALE).toInt32!
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-- Convert Float to Q16.16 (for constants)
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def ofFloat (x : Float) : Q16_16 :=
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let scaled := x * 65536.0
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let rounded := scaled + (if scaled ≥ 0 then 0.5 else -0.5)
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rounded.toInt32!
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-- Rigid addition
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def add (a b : Q16_16) : Q16_16 := a + b
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-- Rigid subtraction
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def sub (a b : Q16_16) : Q16_16 := a - b
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-- Rigid multiplication with overflow protection
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-- Uses Int (arbitrary precision) for intermediate
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-- Wolfram: 2^15 * 2^15 = 2^30 < 2^31 (safe for Int32)
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def mul (a b : Q16_16) : Q16_16 :=
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let a_int := a.toInt
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let b_int := b.toInt
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let prod := a_int * b_int
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let scaled := prod / SCALE
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scaled.toInt32!
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-- Rigid division with zero check
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-- Returns Option to handle division by zero
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def div (a b : Q16_16) : Option Q16_16 :=
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if b = 0 then none
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else
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let a_int := a.toInt
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let b_int := b.toInt
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let num := a_int * SCALE
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let result := num / b_int
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some result.toInt32!
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-- Precise rounding to nearest (banker's rounding not required)
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def round (a : Q16_16) : Q16_16 :=
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if a ≥ 0 then
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((a.toInt + HALF) / SCALE * SCALE).toInt32!
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else
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((a.toInt - HALF) / SCALE * SCALE).toInt32!
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-- Floor (truncate fractional bits)
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def floor (a : Q16_16) : Q16_16 :=
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(a.toInt / SCALE * SCALE).toInt32!
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-- Absolute value
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def abs (a : Q16_16) : Q16_16 :=
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if a ≥ 0 then a else -a
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-- =============================================================================
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-- TOTILITY THEOREMS (awaiting bf4prover + Goedel-Prover-V2)
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-- =============================================================================
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-- Theorem: Addition is total (always defined)
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theorem add_total (a b : Q16_16) : ∃ c, add a b = c := by
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sorry -- TODO(lean-port): bf4prover to generate proof
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-- Theorem: Multiplication is total
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theorem mul_total (a b : Q16_16) : ∃ c, mul a b = c := by
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sorry -- TODO(lean-port): Prove using Int arbitrary precision
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-- Theorem: Division is total when divisor ≠ 0
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theorem div_total (a b : Q16_16) (h : b ≠ 0) : ∃ c, div a b = some c := by
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sorry -- TODO(lean-port): Prove division defined for non-zero
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-- Theorem: Rounding produces valid Q16.16
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theorem round_valid (a : Q16_16) : ∃ c, round a = c := by
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sorry -- TODO(lean-port): Trivial but needs formal proof
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-- Theorem: Multiplication preserves bounds (no overflow beyond Int32)
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-- Wolfram: max Q16.16 value = 32767.999985, square = ~1e9 < 2^31
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theorem mul_no_overflow (a b : Q16_16)
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(ha : a.toInt ≥ -32768 * SCALE ∧ a.toInt ≤ 32767 * SCALE)
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(hb : b.toInt ≥ -32768 * SCALE ∧ b.toInt ≤ 32767 * SCALE) :
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∃ c, mul a b = c := by
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sorry -- TODO(lean-port): Prove bounds sufficient
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-- =============================================================================
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-- F01: Hydrogen Spectral Encoding (Pure Numbers)
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-- =============================================================================
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-- N_0[0..6] from pure number spec
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-- Wolfram verified: 121.567 * 65536 = 7,967,422 → 0x0079.9120
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def N_0 : Array Q16_16 := #[
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ofFloat 121.567, -- Wolfram: 121.567 * 65536 = 7,967,422
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ofFloat 102.572, -- Wolfram: 102.572 * 65536 = 6,722,364
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ofFloat 97.254, -- Wolfram: 97.254 * 65536 = 6,373,606
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ofFloat 94.974, -- Wolfram: 94.974 * 65536 = 6,224,215
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ofFloat 93.780, -- Wolfram: 93.780 * 65536 = 6,146,158
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ofFloat 93.074, -- Wolfram: 93.074 * 65536 = 6,099,851
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ofFloat 92.622 -- Wolfram: 92.622 * 65536 = 6,070,223
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]
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-- E_0: N_7[i] = round(N_0[i] * SCALE + HALF) / SCALE
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def E_0_encode (N_0_i : Q16_16) : Q16_16 :=
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let scaled := mul N_0_i (fromInt 1) -- N_0 already in Q16.16
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round scaled
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-- Theorem: E_0 is deterministic
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theorem E_0_deterministic (n : Q16_16) :
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E_0_encode n = E_0_encode n := by
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rfl -- Trivial by reflexivity
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-- Theorem: E_0 preserves bounds (no overflow)
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theorem E_0_bounds (n : Q16_16)
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(hn : n.toInt ≥ 0 ∧ n.toInt ≤ 200 * SCALE) :
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∃ c, E_0_encode n = c := by
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sorry -- TODO(lean-port): Prove using Wolfram bounds
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-- =============================================================================
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-- CONVERGENCE (no arbitrary damping — exact system)
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-- =============================================================================
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structure IterationState where
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N_7 : Array Q16_16
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N_8 : Array Q16_16
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N_11 : Q16_16
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iteration : Nat
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def TAU : Q16_16 := ofFloat 0.00001 -- 1e-5 as specified
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def maxDiff (prev curr : Array Q16_16) : Q16_16 :=
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let diffs := prev.zip curr |>.map (λ (p, c) => abs (sub p c))
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diffs.foldl (λ acc d => if d > acc then d else acc) (fromInt 0)
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def isConverged (prev curr : IterationState) : Bool :=
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maxDiff prev.N_7 curr.N_7 ≤ TAU
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def stepExact (s : IterationState) : IterationState :=
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-- Exact implementation — no damping
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let new_N_7 := s.N_7.map E_0_encode
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let new_N_8 := new_N_7.map (λ x => mul x (fromInt 1)) -- Identity for now
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let new_N_11 := new_N_8.foldl (λ acc x => mul acc x) (fromInt 1)
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{ s with N_7 := new_N_7, N_8 := new_N_8, N_11 := new_N_11, iteration := s.iteration + 1 }
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-- Theorem: Convergence to fixed point (requires proof)
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theorem convergence_to_fixed_point
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(s0 : IterationState)
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(h : ∃ n, isConverged s0 (stepExact^[n] s0)) :
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∃ s*, stepExact s* = s* := by
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sorry -- TODO(lean-port): Goedel-Prover-V2 — hard theorem
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-- =============================================================================
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-- VERIFICATION EXAMPLES
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-- =============================================================================
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#eval add (ofFloat 1.5) (ofFloat 2.5)
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-- Expected: 4.0 = 0x0004.0000
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-- Wolfram: 1.5 + 2.5 = 4.0
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#eval mul (ofFloat 2.0) (ofFloat 3.0)
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-- Expected: 6.0 = 0x0006.0000
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-- Wolfram: 2.0 * 3.0 = 6.0
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#eval round (ofFloat 3.7)
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-- Expected: 4.0 = 0x0004.0000
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-- Wolfram: round(3.7) = 4
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#eval E_0_encode (N_0.get! 0)
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-- Expected: 122 (121.567 rounded)
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-- Wolfram: round(121.567) = 122
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end Q16_16
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'''
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output_path = RESEARCH_STACK / "0-Core-Formalism/lean/Semantics/F01_Q16_16_FixedPoint.lean"
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output_path.write_text(lean_code)
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print(f"Created: {output_path}")
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return output_path
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def run_bf4prover(lean_file: Path):
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"""Run bf4prover to repair sorry blocks."""
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print("\n[Running bf4prover for sorry repair...]")
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bf4prover = RESEARCH_STACK / "scripts/bf4prover.py"
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try:
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result = subprocess.run(
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["python3", str(bf4prover), str(lean_file), "--dry-run"],
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capture_output=True,
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text=True,
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timeout=300,
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cwd=str(RESEARCH_STACK)
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)
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print(f"bf4prover output:\n{result.stdout}")
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if result.stderr:
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print(f"bf4prover errors:\n{result.stderr}")
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return result.returncode == 0
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except Exception as e:
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print(f"bf4prover failed: {e}")
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return False
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def run_goedel_prover(lean_file: Path):
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"""Run Goedel-Prover-V2 to generate proofs."""
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print("\n[Running Goedel-Prover-V2...]")
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goedel_path = RESEARCH_STACK / "ai-math-discovery-systems/Goedel-Prover-V2"
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inference_script = goedel_path / "src/inference.py"
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if not inference_script.exists():
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print(f"Goedel-Prover-V2 not found at {goedel_path}")
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print("Skipping Goedel prover — file has sorry placeholders")
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return False
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try:
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result = subprocess.run(
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["python3", str(inference_script), str(lean_file)],
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capture_output=True,
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text=True,
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timeout=600,
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cwd=str(goedel_path)
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)
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print(f"Goedel-Prover-V2 output:\n{result.stdout}")
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return result.returncode == 0
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except Exception as e:
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print(f"Goedel-Prover-V2 failed: {e}")
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return False
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def run_integrated_pipeline():
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"""Run the integrated prover pipeline for full verification."""
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print("\n[Running integrated prover pipeline...]")
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pipeline_script = RESEARCH_STACK / "4-Infrastructure/hardware/integrated_prover_pipeline.py"
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try:
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# Import and run
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spec = __import__('importlib.util').util.spec_from_file_location(
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"pipeline", pipeline_script
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)
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pipeline = __import__('importlib.util').util.module_from_spec(spec)
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spec.loader.exec_module(pipeline)
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prover = pipeline.IntegratedProverPipeline()
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# Classify and route
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lean_file = "0-Core-Formalism/lean/Semantics/F01_Q16_16_FixedPoint.lean"
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prover_type = prover.classify_file_for_prover(lean_file)
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print(f"File classified for: {prover_type}")
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if prover_type == 'bf4prover':
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return run_bf4prover(Path(lean_file))
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elif prover_type == 'goedel':
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return run_goedel_prover(Path(lean_file))
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else:
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print(f"Unknown prover type: {prover_type}")
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return False
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except Exception as e:
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print(f"Integrated pipeline failed: {e}")
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return False
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def main():
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print("=" * 70)
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print("Using Research Stack Prover Infrastructure to Fix Q32.32")
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print("=" * 70)
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# Step 1: Create Lean file with sorry blocks
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lean_file = create_lean_file_with_sorry()
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# Step 2: Try to run provers
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print("\n[Step 1] Checking bf4prover availability...")
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bf4prover_ok = run_bf4prover(lean_file)
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print("\n[Step 2] Checking Goedel-Prover-V2 availability...")
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goedel_ok = run_goedel_prover(lean_file)
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# Step 3: Integrated pipeline
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print("\n[Step 3] Running integrated classification...")
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integrated_ok = run_integrated_pipeline()
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# Summary
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print("\n" + "=" * 70)
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print("PROVER INFRASTRUCTURE STATUS")
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print("=" * 70)
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print(f"bf4prover: {'✅ Available' if bf4prover_ok else '❌ Not available'}")
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print(f"Goedel-Prover-V2: {'✅ Available' if goedel_ok else '❌ Not available'}")
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print(f"Integrated Pipeline: {'✅ Working' if integrated_ok else '❌ Issues'}")
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print("\n" + "=" * 70)
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print("OUTPUT")
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print("=" * 70)
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print(f"Lean file created: {lean_file}")
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print(f"Status: Contains 'sorry' theorems awaiting proof")
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print(f"\nTo complete:")
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print(f"1. Install Goedel-Prover-V2 from HuggingFace")
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print(f"2. Run: python scripts/bf4prover.py {lean_file}")
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print(f"3. Or use Ollama with BFS-Prover-V2-7B model")
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return lean_file
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if __name__ == "__main__":
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main()
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