Research-Stack/6-Documentation/docs/FPGA_IMPLEMENTATION_REVIEW.md

FPGA Implementation Review Document

Date: 2026-04-26T19:47:00 Purpose: Comprehensive documentation of morphic scalar FPGA implementation for review Status: Implementation complete, pending review approach selection

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Question: Which Review Approach?

The FPGA implementation is complete but requires review. Please select one of the following approaches:

Option 1: Lean Theorem Verification

Focus: Complete mathematical proofs in Lean code Files to modify:

• 0-Core-Formalism/lean/Semantics/FPGAExtraction.lean - Complete sorry proofs
• 0-Core-Formalism/lean/Semantics/MorphicScalar.lean - Complete sorry proofs
• 0-Core-Formalism/lean/Semantics/OEPI.lean - Complete sorry proofs
• 0-Core-Formalism/lean/Semantics/OriginProtocol.lean - Complete sorry proofs

Current status: All theorems marked as sorry (TODO markers) Effort: Medium - requires Lean theorem proving expertise Benefit: Mathematical rigor, AGENTS.md compliance

Option 2: Verilog Simulation

Focus: Run testbench with Verilog simulator Tools required: Icarus Verilog or similar Files to test:

• hardware/morphic_scalar_fpga.v - Complete testbench included

Current status: Testbench written, not executed Effort: Low - requires Verilog simulator installation Benefit: Functional verification, timing analysis

Option 3: Synthesis Check

Focus: Test synthesis for target hardware Tools required: Yosys, nextpnr Target hardware: Lattice iCE40 HX8K Files to synthesize:

• hardware/morphic_scalar_fpga.v

Current status: Resource estimates calculated, not synthesized Effort: Medium - requires FPGA toolchain setup Benefit: Hardware verification, actual resource usage

Option 4: Formal Verification

Focus: Model checking against Lean specification Tools required: Formal verification tools (e.g., Yosys-SMTBMC) Files to verify:

• hardware/morphic_scalar_fpga.v
• 0-Core-Formalism/lean/Semantics/FPGAExtraction.lean (specification)

Current status: Not started Effort: High - requires formal verification expertise Benefit: Mathematical proof of correctness

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Current FPGA Implementation State

Files Created

1. hardware/morphic_scalar_fpga.v (570 lines)

   • Q16.16 fixed-point arithmetic modules
   • OEPI calculator with weighted sum
   • OEPI threshold classifier
   • 16-state scalar state machine
   • Amplitude update module
   • Profile collapse selector
   • Top-level morphic scalar integration
   • Complete testbench with 6 test cases

2. 0-Core-Formalism/lean/Semantics/FPGAExtraction.lean (150 lines)

   • FPGA target specifications
   • Resource utilization estimation
   • Verilog module specifications
   • Bind instance for resource estimation
   • Theorems (marked as sorry):
     • ice40SufficientResources
     • oepiLinearComplexity
     • finiteStateMachineStates
   • #eval examples for testing

3. docs/FPGA_MORPHIC_SCALAR_SPEC.md (200 lines)

   • Architecture overview
   • Resource utilization table
   • Module descriptions
   • Performance metrics
   • Verification plan
   • Integration with existing FPGA Warden Node

Architecture Summary

Target Hardware: Lattice iCE40 HX8K

• LUT cells: 7,680 ([BEAUTIFUL_PROVISIONAL - 3.3% utilization estimate awaiting synthesis verification])
• Flip-flops: 7,680 ([BEAUTIFUL_PROVISIONAL - 1.3% utilization estimate awaiting synthesis verification])
• Block RAM: 128KB ([BEAUTIFUL_PROVISIONAL - 6.3% utilization estimate awaiting synthesis verification])
• DSP slices: 8 ([BEAUTIFUL_PROVISIONAL - 0% utilization estimate awaiting synthesis verification])
• Clock: 50 MHz

Performance:

• Latency: [BEAUTIFUL_PROVISIONAL - 160ns estimate awaiting hardware measurement]
• Throughput: [BEAUTIFUL_PROVISIONAL - 6.25M ops/sec estimate awaiting hardware measurement]

Modules Implemented:

1. Q16.16 arithmetic (add, mul, div, compare)
2. OEPI calculator (5 multiplications, 4 additions)
3. OEPI threshold classifier (low/medium/critical)
4. Scalar state machine (16 states)
5. Amplitude update
6. Profile collapse selector
7. Top-level integration

Lean Integration Status

Source files:

• 0-Core-Formalism/lean/Semantics/MorphicScalar.lean - Morphic scalar types and operations
• 0-Core-Formalism/lean/Semantics/OEPI.lean - OEPI calculation and thresholds
• 0-Core-Formalism/lean/Semantics/OriginProtocol.lean - Lineage memory and inheritance
• 0-Core-Formalism/lean/Semantics/FPGAExtraction.lean - FPGA extraction specification

AGENTS.md Compliance:

• ✅ Lean is source of truth
• ✅ Verilog is extraction target only
• ✅ No logic in Verilog without Lean theorem
• ✅ Q16.16 fixed-point (no Float)
• ✅ PascalCase files, camelCase functions
• ⚠️ Theorems marked as sorry (incomplete)

Incomplete Proofs: All theorems in FPGAExtraction.lean are marked as sorry:

• ice40SufficientResources - Needs proof that 250/7680 < 100%
• oepiLinearComplexity - Needs proof of O(1) complexity
• finiteStateMachineStates - Needs proof of exactly 16 states

Compatibility with Existing FPGA Work

Existing files:

• docs/FPGA_WARDEN_NODE_SPEC.md - AMMR architecture specification
• hardware/nii_surface_driver.v - NII surface driver with Q16.16
• out/verilog/tangnano9k_topology_router.v - TangNano9K router

Integration points:

• Shared Q16.16 arithmetic
• Complementary functionality (AMMR phase accumulation + scalar state machine)
• Same target hardware (Lattice iCE40 HX8K/ECP5)
• OEPI can feed into Warden safety valves
• Scalar state can modulate AMMR accumulation

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Review Checklist

Code Review

• Verilog syntax verification
• Q16.16 arithmetic correctness
• State machine completeness
• OEPI calculation accuracy
• Resource utilization accuracy

Mathematical Review

• OEPI weight sum correctness (0.25+0.25+0.20+0.15+0.15 = 1.0)
• Threshold values (70, 95)合理性
• Fixed-point precision analysis
• Overflow/underflow handling

Hardware Review

• Resource estimates vs actual synthesis
• Timing analysis
• Clock domain crossing
• Power consumption estimate

Lean Verification

• Complete sorry proofs in FPGAExtraction.lean
• Complete sorry proofs in MorphicScalar.lean
• Complete sorry proofs in OEPI.lean
• Complete sorry proofs in OriginProtocol.lean
• Lake build passes

Integration Review

• Compatibility with FPGA Warden Node
• Interface compatibility
• Shared resource usage
• Combined resource utilization

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Decision Required

Please specify which review approach to proceed with:

1. Lean Theorem Verification - Complete mathematical proofs
2. Verilog Simulation - Run testbench with simulator
3. Synthesis Check - Test with Yosys for target hardware
4. Formal Verification - Model checking against spec
5. All of the above - Comprehensive review

Response format: "Proceed with [Option X]" or specify custom approach