The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-np-completeness-answer-concisely-3e68

stable pending witness
2026-05-29 08:25:00 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of NP-completeness? Answer concisely in 2-3 sentences.
79 chars

Generation

NP-completeness identifies the hardest problems in NP (problems whose solutions can be verified quickly), where finding an efficient solution to any one NP-complete problem would solve all NP problems efficiently. This concept is significant because thousands of important real-world problems are NP-complete, and proving P≠NP would confirm that no efficient algorithms exist for them. It helps researchers recognize when to seek approximate solutions rather than perfect ones.
30 tokens in · 95 tokens out · 3736 ms · $0.0015

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3742.5 ms
Base LLM
3735.7 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0015

Trail

08:25:00 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
08:25:00 red_gate decision=pass reason=no disqualifying input patterns detected
08:25:03 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=95 latency_ms=3735.7 cost_usd=0.0015
08:25:03 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:25:03 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:25:03 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:25:03 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:25:03 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:25:03 signed hash_algo=sha256 hash=sha256:31b2efbdc2b1bde013bdc20c9af6aa2f14bcd1424618593ccd39e810a1880a54

Content hash

sha256:31b2efbdc2b1bde013bdc20c9af6aa2f14bcd1424618593ccd39e810a1880a54

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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