The Mechanism · Gated-generation receipt

gen-explain-de-morgan-s-laws-as-you-would-to-a-capable-student-i-6a2b

stable pending witness
2026-05-29 03:58:57 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain De Morgan's laws as you would to a capable student, in 3-4 sentences.
77 chars

Generation

De Morgan's laws describe how negation interacts with AND/OR operations in logic. The first law states that "NOT (A AND B)" is equivalent to "(NOT A) OR (NOT B)"—if it's not true that both conditions hold, then at least one must be false. The second law states that "NOT (A OR B)" is equivalent to "(NOT A) AND (NOT B)"—if neither condition is true, then both must be false. A helpful way to remember them: when you distribute a negation across parentheses, you flip AND to OR (or vice versa).
29 tokens in · 130 tokens out · 3262 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
3275.9 ms
Base LLM
3261.9 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.002

Trail

03:58:57 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
03:58:57 red_gate decision=pass reason=no disqualifying input patterns detected
03:59:00 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=130 latency_ms=3261.9 cost_usd=0.002
03:59:00 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:59:00 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:59:00 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:59:00 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:59:00 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:59:00 signed hash_algo=sha256 hash=sha256:c4f307e141aa322b3b90146c02d474dbc82c46492a0724a8f36e83a5a147c36b

Content hash

sha256:c4f307e141aa322b3b90146c02d474dbc82c46492a0724a8f36e83a5a147c36b

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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