atomik-core 0.4.0

ATOMiK delta-state algebra — O(1) state reconstruction for any processor

atomik-core

O(1) state reconstruction. 99% less bandwidth. Formally proven.

ATOMiK is a delta-state algebra that replaces snapshots, event replay, and full-state replication with four operations. Works on any processor — no FPGA required.

Install

pip install atomik-core

Zero dependencies. Python 3.9+.

Quick Start

from atomik_core import AtomikContext

# Create a context and set initial state
ctx = AtomikContext()
ctx.load(0xDEADBEEF)

# Accumulate deltas (XOR — order doesn't matter)
ctx.accum(0x000000FF)
print(f"State: 0x{ctx.read():08x}")  # 0xdeadbe10

# Undo any delta by re-applying it (self-inverse)
ctx.rollback(0x000000FF)
assert ctx.read() == 0xDEADBEEF

The 4 Operations

Operation	What it does	Complexity
load(value)	Set reference state, clear accumulator	O(1)
accum(delta)	XOR delta into accumulator	O(1)
read()	Reconstruct state: reference ^ accumulator	O(1)
swap()	Atomic snapshot + new epoch	O(1)

Everything else — rollback, merge, fingerprinting, streaming — is built on these four.

Why ATOMiK?

99% Less Network Traffic

Send 8-byte deltas instead of full state copies.

from atomik_core import DeltaStream

# Sender and receiver start with same reference
sender = DeltaStream()
receiver = DeltaStream()
sender.load(0, initial_state=0xCAFE)
receiver.load(0, initial_state=0xCAFE)

# Sender produces a delta (8 bytes, not full state)
msg = sender.accum(0, delta=0x00FF)

# Receiver applies it — converges to same state
receiver.apply(msg)
assert sender.read(0) == receiver.read(0)

State Size	Full Replication (10K updates)	ATOMiK Deltas	Reduction
1 KB	10.2 MB	80 KB	99.2%
64 KB	655 MB	80 KB	99.99%

333,333x Less Memory for Rollback

ATOMiK uses 24 bytes regardless of history length. No snapshot stack.

ctx = AtomikContext()
ctx.load(0xAAAA)

# Apply 1 million deltas...
for i in range(1_000_000):
    ctx.accum(i)

# Undo all of them (XOR self-inverse)
for i in range(1_000_000):
    ctx.rollback(i)

assert ctx.read() == 0xAAAA  # Back to original
# Memory used: 24 bytes. Snapshot approach: 8 MB.

1,291x Faster Change Detection

Track changes incrementally in O(1), not O(n).

from atomik_core import Fingerprint

fp = Fingerprint(width=64)
fp.load(reference_data)     # Set reference fingerprint

# When a field changes, update in O(1):
fp.accumulate_delta(old_value, new_value)

if fp.changed:
    print("Data modified!")

No Consensus Protocol

XOR is commutative — deltas can arrive in any order. All nodes converge.

# Three nodes, each produces deltas independently
nodes = [DeltaStream() for _ in range(3)]
for n in nodes:
    n.load(0, 0xAAAA)

m0 = nodes[0].accum(0, 0x0001)
m1 = nodes[1].accum(0, 0x0010)
m2 = nodes[2].accum(0, 0x0100)

# Broadcast all-to-all (any order)
for i, node in enumerate(nodes):
    for j, msg in enumerate([m0, m1, m2]):
        if i != j:
            node.apply(msg)

# All converge — no Raft, no Paxos, no leader election
assert nodes[0].read(0) == nodes[1].read(0) == nodes[2].read(0)

Multi-Context Table

Track state across 256 independent addresses:

from atomik_core import AtomikTable

table = AtomikTable(num_contexts=256)
table.load(addr=0, initial_state=0x1000)
table.load(addr=1, initial_state=0x2000)

table.accum(addr=0, delta=0x0001)
assert table.read(0) == 0x1001
assert table.read(1) == 0x2000  # Independent

# Batch update multiple addresses at once
table.batch_accum({0: 0x0010, 1: 0x0020, 2: 0x0030})

# Snapshot all non-zero contexts
active = table.snapshot()

Formally Proven

Every algebraic property is proven in Lean4 — not tested, proven:

• Commutativity: accum(a); accum(b) == accum(b); accum(a)
• Associativity: (a ^ b) ^ c == a ^ (b ^ c)
• Self-inverse: accum(d); accum(d) == identity
• Identity: accum(0) == identity

92 theorems total. See proofs →

C Library

Single-header C99 library with the same API:

#define ATOMIK_IMPLEMENTATION
#include "atomik_core.h"

atomik_ctx_t ctx;
atomik_init(&ctx);
atomik_load(&ctx, 0xDEADBEEFCAFEBABEULL);
atomik_accum(&ctx, 0x00000000000000FFULL);
uint64_t state = atomik_read(&ctx);

Hardware Upgrade Path

When software performance isn't enough:

Implementation	Throughput	Latency
Python (atomik-core)	5M ops/sec	~200 ns
C (atomik_core.h)	500M ops/sec	~2 ns
FPGA (ATOMiK hardware)	69.7 Gops/sec	10.6 ns/op

Same API. Same algebra. Same proofs. Just faster.

Examples

• Distributed Cache Sync — 3-node convergence without consensus
• IoT Sensor Fusion — 99.2% bandwidth reduction
• Real-Time Analytics — Trading P&L tracking at 2.5M ops/sec

License

Apache 2.0 for evaluation and non-commercial use. Commercial license required for production deployment. Patent pending.