The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-natural-deduction-answer-concise-aba8

stable pending witness
2026-05-29 03:51:11 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of natural deduction? Answer concisely in 2-3 sentences.
81 chars

Generation

Natural deduction is a proof system that formalizes logical reasoning in a way that closely mirrors human intuitive reasoning patterns. Introduced by Gerhard Gentzen in 1934, it provides clear rules for introducing and eliminating logical connectives, making it foundational for both mathematical logic and computer science (particularly type theory and proof assistants). Its structure makes proofs more readable and natural compared to other formal systems like axiomatic logic.
28 tokens in · 95 tokens out · 3788 ms · $0.0015

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
3795.3 ms
Base LLM
3788.2 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0015

Trail

03:51:11 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
03:51:11 red_gate decision=pass reason=no disqualifying input patterns detected
03:51:15 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=95 latency_ms=3788.2 cost_usd=0.0015
03:51:15 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:51:15 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:51:15 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:51:15 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:51:15 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:51:15 signed hash_algo=sha256 hash=sha256:358e527f44cf9d8b3782e224b2c36dd9674e4a83afff9de2677e06ef8655ff25

Content hash

sha256:358e527f44cf9d8b3782e224b2c36dd9674e4a83afff9de2677e06ef8655ff25

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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