The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-modus-ponens-state-any-key-formula-3817

stable pending witness
2026-05-29 07:41:19 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain modus ponens. State any key formula.
62 chars

Generation

Modus ponens is a fundamental rule of inference in logic that allows us to derive a conclusion from a conditional statement and its antecedent. The rule states: if we know that "if P, then Q" is true, and we also know that P is true, then we can validly conclude that Q is true. **Key formula:** - P → Q (if P, then Q) - P (P is true) - Therefore, Q (Q is true) This can be written symbolically as: [(P → Q) ∧ P] → Q
26 tokens in · 130 tokens out · 6102 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
6108.5 ms
Base LLM
6101.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

07:41:19 received prompt_chars=62 verifiers=['scripture_anchors', 'theology_doctrine']
07:41:19 red_gate decision=pass reason=no disqualifying input patterns detected
07:41:25 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=130 latency_ms=6101.5 cost_usd=0.002
07:41:25 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:41:25 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:41:25 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:41:25 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:41:25 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:41:25 signed hash_algo=sha256 hash=sha256:a91ebf34dc5e44a917034ca338391eeff5de4675956829eb5a2833d3fd6939b5

Content hash

sha256:a91ebf34dc5e44a917034ca338391eeff5de4675956829eb5a2833d3fd6939b5

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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