The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-predicate-logic-answer-concisely-6976

stable pending witness
2026-05-29 06:19:02 UTC · anthropic/claude-sonnet-4-5

Prompt

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

Generation

Predicate logic extends basic propositional logic by allowing reasoning about objects, their properties, and relationships through variables and quantifiers. It provides the formal foundation for mathematics, computer science, and artificial intelligence, enabling precise expression of statements like "all," "some," and "none." This makes it essential for theorem proving, database queries, programming languages, and automated reasoning systems.
28 tokens in · 80 tokens out · 2595 ms · $0.0013

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
2602.3 ms
Base LLM
2595.4 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0013

Trail

06:19:02 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
06:19:02 red_gate decision=pass reason=no disqualifying input patterns detected
06:19:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=80 latency_ms=2595.4 cost_usd=0.0013
06:19:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:19:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:19:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:19:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:19:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:19:05 signed hash_algo=sha256 hash=sha256:9bd953b84f367120957079e9047f3113eded115d1186de586686204f2194fb1d

Content hash

sha256:9bd953b84f367120957079e9047f3113eded115d1186de586686204f2194fb1d

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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