What Is Atlas5D Q17 & How Does It Work?

The Q17 Discovery: In compressed execution systems, preserving the immediate action (D(s) = D_bar(pi(s)), so H(A | q_t) = 0) is not sufficient to safely commit a state transition. Inside quotient cell Q17, two concrete states s_41 and s_42 agree on the immediate action (Continue), yet diverge on the successor quotient (Q22 safe completion vs. Q41 customer settlement) or external effect ($100 vs. $1,000).

How Atlas5D Solves It: QCTM-1 (v1.1) decomposes transition ambiguity across Action, Successor Quotient, and External Effect, plans 1-query and 2-query combinatorial (XOR) evidence fetches, and gates every state mutation behind the symbolic CommitCertifier::certify hardware-sealed proof object (CertifierSeal(())).

1. Quotient Projection: q_t = pi(s_t) [2,076 B → 68 B]

2. The Q17 Action Trap:

H(A | Q17) = 0.0 bits && (H(Q' | Q17) > 0 || H(E | Q17) > 0)

3. Symbolic Commit Sufficiency across F(q_t, e_t):

∀ s_1, s_2 ∈ pi^-1(q_t) ∩ E(e_t):

A(s_1)=A(s_2) ∧ pi(T(s_1))=pi(T(s_2)) ∧ Eff(s_1)=Eff(s_2)

00:00 / 01:10

State Compression Ratio

58.67x

2,076 B L0 → 68 B L1 (98.30% reduction)

Action-Only False Commits

300 / 400

Action-only gate fooled by H(A|Q17)=0

Atlas5D Unsafe Commits

0 / 400

100% blocked by CommitCertifier::certify

QCTM-1 Certifier Savings

-78.3%

80 vs 368 fiber state evaluations

XOR Two-Query Synergy

+1.000 bit

IG_1(a)=0, IG_1(b)=0 → IG_2(a,b)=1.0 bit

Durable WAL Commit+Ack

0.546 ms

ATWL SHA-256 framed fsync + torn-tail repair

Interactive Q17 & QCTM-1 (v1.1) Transition Simulator

Select any of the 7 held-out transition structures to inspect its preimage fiber, tri-head Shannon entropies, VoI retrieval plan, and symbolic CommitCertifier verdict.

LIVE BACKEND API: /api/v1/q17/simulate

Q17 Diamond Fork (Successor Ambiguity)

Head 1: Action Entropy H(A | q, v)0.000 bits

Head 2: Successor Quotient Entropy H(Q' | q, v)1.000 bit

Head 3: External Effect Entropy H(E | q, v)0.000 bits

Joint Transition Entropy H(A, Q', E | q, v)1.000 bit

Observed Sample Status:

Action-Only Gate Verdict:

QCTM-1 Retrieval Plan:

Pre-Fetch Certifier:

Post-Fetch Certifier:

Durable ATWL SHA-256:

CANDIDATE FIBER PREIMAGE pi^-1(q_t) (16 STATES)

State Slice	Quotient	Evidence Tag	Action A(s)	Successor Q'	Effect E(s)

Three-Way Held-Out Comparative Benchmark (QCTM-1 v1.1)

Evaluated across all 7 held-out transition structures (16 states per fiber, 3 distractor keys per store). Click any row to inspect detailed metrics.

Approach	Role / Mechanism	Valid Commits	Valid Withheld	Unsafe Commits	Model FP Blocked	Certifier Calls (States)	Fetches (Bytes)	--release Latency