The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-de-morgan-s-laws-answer-concisel-1c83

stable pending witness
2026-05-29 06:20:13 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of De Morgan's laws? Answer concisely in 2-3 sentences.
80 chars

Generation

De Morgan's laws provide fundamental rules for negating logical statements involving "and" and "or" operations, showing that the negation of a conjunction is equivalent to the disjunction of negations, and vice versa. They are essential in mathematics, computer science, and digital circuit design for simplifying logical expressions and proving equivalences. These laws bridge Boolean algebra and set theory, making them foundational tools across multiple disciplines.
29 tokens in · 90 tokens out · 5082 ms · $0.0014

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
5089.3 ms
Base LLM
5082.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0014

Trail

06:20:13 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
06:20:13 red_gate decision=pass reason=no disqualifying input patterns detected
06:20:18 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=90 latency_ms=5082.2 cost_usd=0.0014
06:20:18 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:20:18 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:20:18 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:20:18 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:20:18 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:20:18 signed hash_algo=sha256 hash=sha256:8c6ed9d308f11e9216b995140636cf60a810fd2465b6924ccb1469ce1bdc1876

Content hash

sha256:8c6ed9d308f11e9216b995140636cf60a810fd2465b6924ccb1469ce1bdc1876

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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