The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-propositional-logic-answer-conci-4f08

stable pending witness
2026-05-29 08:53:01 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of propositional logic? Answer concisely in 2-3 sentences.
83 chars

Generation

Propositional logic is the foundation of formal reasoning and mathematical proof, providing a rigorous system for determining the validity of arguments. It serves as the basis for computer science applications including digital circuit design, programming languages, and automated reasoning systems. Its clear rules for manipulating truth values make it essential for both theoretical understanding and practical applications in logic and computation.
29 tokens in · 75 tokens out · 4940 ms · $0.0012

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
4948.8 ms
Base LLM
4940.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0012

Trail

08:53:01 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
08:53:01 red_gate decision=pass reason=no disqualifying input patterns detected
08:53:06 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=75 latency_ms=4940.3 cost_usd=0.0012
08:53:06 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:53:06 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:53:06 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:53:06 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:53:06 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:53:06 signed hash_algo=sha256 hash=sha256:a6ee8c21d842fb703fd6b3276ea11aed77b885d2d0b175613175ef2fdff2f36b

Content hash

sha256:a6ee8c21d842fb703fd6b3276ea11aed77b885d2d0b175613175ef2fdff2f36b

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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