The Mechanism · Gated-generation receipt

gen-state-modus-tollens-precisely-and-explain-why-it-matters-in-c1b0

stable pending witness
2026-05-29 03:14:51 UTC · anthropic/claude-sonnet-4-5

Prompt

State modus tollens precisely and explain why it matters in 2-3 sentences.
74 chars

Generation

# Modus Tollens **Precise statement:** If P implies Q, and Q is false, then P must be false. Symbolically: [(P → Q) ∧ ¬Q] → ¬P **Why it matters:** Modus tollens is the logical foundation of falsification in science and critical reasoning—it allows us to definitively rule out hypotheses by showing their predictions don't hold. This makes it essential for eliminating false theories, debugging code, and any rational process that narrows down possibilities by rejecting what cannot be true.
26 tokens in · 127 tokens out · 3905 ms · $0.002

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
3912.2 ms
Base LLM
3905.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

03:14:51 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
03:14:51 red_gate decision=pass reason=no disqualifying input patterns detected
03:14:55 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=127 latency_ms=3905.0 cost_usd=0.002
03:14:55 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:14:55 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:14:55 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:14:55 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:14:55 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:14:55 signed hash_algo=sha256 hash=sha256:b8a62d46d0976a7be2440150c2c555d25c1479ad3d3bc74e5f9d284cec8b1c15

Content hash

sha256:b8a62d46d0976a7be2440150c2c555d25c1479ad3d3bc74e5f9d284cec8b1c15

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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