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Asi say-ducklake-xor

Parallel thread/DuckLake discovery with XOR uniqueness from gay_seed. Finds "say" or MCP usage, cross-refs with all DuckDB sources, launches bounded parallel ops.

install
source · Clone the upstream repo
git clone https://github.com/plurigrid/asi
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/plurigrid/asi "$T" && mkdir -p ~/.claude/skills && cp -r "$T/skills/say-ducklake-xor" ~/.claude/skills/plurigrid-asi-say-ducklake-xor-e56e34 && rm -rf "$T"
manifest: skills/say-ducklake-xor/SKILL.md
source content

Say-DuckLake XOR Discovery

Maximally parallel discovery with deterministic uniqueness guarantees.

Core Invariants

∀ i,j ∈ [0, bound): i ≠ j ⟹ seed ⊕ i ≠ seed ⊕ j   (XOR uniqueness)
∀ parallel ops: same gay_seed ⟹ same colors        (SPI guarantee)
Σ(trits) ≡ 0 (mod 3)                                (GF(3) conservation)

Usage

# Find all "say" usage in threads, cross-ref with DuckLakes
python scripts/say_ducklake_xor.py

# With explicit seed and parallelism bound
python scripts/say_ducklake_xor.py --seed 1069 --bound 27

# XOR verification mode
python scripts/say_ducklake_xor.py --verify-xor

Architecture

┌─────────────────────────────────────────────────────────────┐
│                    gay_seed (root)                          │
├─────────────────────────────────────────────────────────────┤
│  XOR Fan-Out (bounded)                                      │
│  ┌─────────┐ ┌─────────┐ ┌─────────┐     ┌─────────┐       │
│  │seed⊕0   │ │seed⊕1   │ │seed⊕2   │ ... │seed⊕n-1 │       │
│  │(thread) │ │(duck_0) │ │(duck_1) │     │(duck_n) │       │
│  └────┬────┘ └────┬────┘ └────┬────┘     └────┬────┘       │
│       │           │           │               │             │
│       ▼           ▼           ▼               ▼             │
│  ┌─────────────────────────────────────────────────────┐   │
│  │              Parallel Executor (async)               │   │
│  │  - Thread search: find_thread("say" OR "say mcp")   │   │
│  │  - DuckDB scan: SHOW TABLES for each .duckdb        │   │
│  │  - Cross-reference: match concepts/timestamps       │   │
│  └─────────────────────────────────────────────────────┘   │
│                           │                                 │
│                           ▼                                 │
│  ┌─────────────────────────────────────────────────────┐   │
│  │              GF(3) Conservation Check                │   │
│  │  Σ(trits) mod 3 = 0 ⟹ valid parallel merge         │   │
│  └─────────────────────────────────────────────────────┘   │
└─────────────────────────────────────────────────────────────┘

XOR Uniqueness Proof

For bound 

n
parallel operations from 
seed
:

def xor_unique(seed: int, bound: int) -> bool:
    """XOR with distinct indices yields distinct seeds."""
    seen = set()
    for i in range(bound):
        derived = seed ^ i
        if derived in seen:
            return False  # Collision!
        seen.add(derived)
    return True

# Always true for i,j < 2^64 and i ≠ j:
# seed ⊕ i = seed ⊕ j ⟹ i = j (XOR cancellation)

DuckLake Sources

Auto-discovered from 

~/ies/**/*.duckdb
:

SourcePurposeTrit
pigeons_spi.duckdb
Derivation chains, GF(3) invariants0
unified_thread_lake.duckdb
Amp thread archive+1
ananas.duckdb
Book/paper downloads-1
hatchery.duckdb
Scheme eggs metadata0
bib.duckdb
Bibliography entries+1

Thread Patterns

Searches for threads containing:

  • say
    - macOS TTS usage
  • say mcp
    - MCP tool with speech
  • say-narration
    - Skill usage
  • say -v
    - Voice specification

Integration with PigeonsGayBridge

using .PigeonsGayBridge

# XOR fan-out with SPI guarantee
seeds = [GAY_SEED ⊻ UInt64(i) for i in 0:26]
chains = [unworld_chain(s, 10) for s in seeds]

# All chains have deterministic colors
# Cross-machine reproducibility via SPI

Cross-Reference Schema

CREATE TABLE say_ducklake_xor (
    xor_index INTEGER PRIMARY KEY,
    seed UBIGINT NOT NULL,
    source_type VARCHAR(10),  -- 'thread' or 'duckdb'
    source_id VARCHAR(64),
    trit TINYINT,
    hex VARCHAR(7),
    matched_at TIMESTAMP DEFAULT CURRENT_TIMESTAMP,
    UNIQUE(seed)  -- XOR guarantees uniqueness
);

Bounded Parallelism

import asyncio
from concurrent.futures import ThreadPoolExecutor

async def parallel_xor_discovery(seed: int, bound: int):
    """Launch bounded parallel ops with XOR uniqueness."""
    loop = asyncio.get_event_loop()
    
    with ThreadPoolExecutor(max_workers=min(bound, 8)) as executor:
        futures = [
            loop.run_in_executor(executor, discover_one, seed ^ i, i)
            for i in range(bound)
        ]
        results = await asyncio.gather(*futures)
    
    # Verify GF(3) conservation
    trits = [r['trit'] for r in results]
    assert sum(trits) % 3 == 0, "GF(3) drift detected"
    
    return results

References