The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-bayesian-versus-frequentist-inferen-2b4f

stable pending witness
2026-05-29 04:58:52 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Bayesian versus frequentist inference. State any key formula.
87 chars

Generation

**Frequentist inference** treats parameters as fixed unknown constants and bases conclusions on long-run frequencies of data under repeated sampling. Probability statements are made only about data (e.g., p-values, confidence intervals). **Bayesian inference** treats parameters as random variables with probability distributions, combining prior beliefs with data via **Bayes' theorem**: **P(θ|data) = P(data|θ)P(θ) / P(data)** This yields a posterior distribution that directly quantifies uncertainty about parameters, allowing probability statements like "θ has 95% probability of being in this interval."
30 tokens in · 139 tokens out · 3909 ms · $0.0022

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
3916.7 ms
Base LLM
3909.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

04:58:52 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
04:58:52 red_gate decision=pass reason=no disqualifying input patterns detected
04:58:56 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=139 latency_ms=3909.1 cost_usd=0.0022
04:58:56 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:58:56 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:58:56 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:58:56 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:58:56 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:58:56 signed hash_algo=sha256 hash=sha256:86756e4960a90e451606c9bf8b17c02a08ed613be0c58e543dffd632af9488d2

Content hash

sha256:86756e4960a90e451606c9bf8b17c02a08ed613be0c58e543dffd632af9488d2

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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