The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-asymptotic-big-o-complexity-answ-0c83

stable pending witness
2026-05-29 06:09:36 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of asymptotic (big-O) complexity? Answer concisely in 2-3 sentences.
93 chars

Generation

Big-O complexity describes how an algorithm's resource requirements (time or space) grow as input size increases, focusing on the dominant terms while ignoring constants and lower-order factors. This allows developers to compare algorithms' scalability and predict performance on large datasets, making it essential for choosing efficient solutions. It provides a standardized way to analyze worst-case scenarios independent of hardware or implementation details.
34 tokens in · 83 tokens out · 3792 ms · $0.0013

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
3802.6 ms
Base LLM
3792.4 ms
Verifiers
0.1 ms
Gates
0.1 ms
Cost
$0.0013

Trail

06:09:36 received prompt_chars=93 verifiers=['scripture_anchors', 'theology_doctrine']
06:09:36 red_gate decision=pass reason=no disqualifying input patterns detected
06:09:40 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=34 tokens_out=83 latency_ms=3792.4 cost_usd=0.0013
06:09:40 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:09:40 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:09:40 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:09:40 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:09:40 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:09:40 signed hash_algo=sha256 hash=sha256:e5b19038e8ddc5c4e2d172e6bc99f6118de37d20c0641f4e79b402399a43c6f5

Content hash

sha256:e5b19038e8ddc5c4e2d172e6bc99f6118de37d20c0641f4e79b402399a43c6f5

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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