The Mechanism · Gated-generation receipt

gen-explain-predicate-logic-as-you-would-to-a-capable-student-in-73a1

stable pending witness
2026-05-29 05:28:07 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain predicate logic as you would to a capable student, in 3-4 sentences.
76 chars

Generation

Predicate logic extends basic logic by letting you reason about properties of objects and relationships between them, rather than just whole statements. Instead of saying "Socrates is mortal" as one indivisible claim, you can break it down into a predicate M(x) meaning "x is mortal" applied to the object "Socrates," written as M(Socrates). This system includes quantifiers like ∀ (for all) and ∃ (there exists), allowing you to make general claims like ∀x(Human(x) → Mortal(x)), meaning "all humans are mortal." It's the foundation of mathematical reasoning and how we formalize arguments about categories, properties, and relationships in a precise way.
28 tokens in · 163 tokens out · 5215 ms · $0.0025

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
5222.4 ms
Base LLM
5215.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0025

Trail

05:28:07 received prompt_chars=76 verifiers=['scripture_anchors', 'theology_doctrine']
05:28:07 red_gate decision=pass reason=no disqualifying input patterns detected
05:28:12 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=163 latency_ms=5215.0 cost_usd=0.0025
05:28:12 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:28:12 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:28:12 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:28:12 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:28:12 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:28:12 signed hash_algo=sha256 hash=sha256:74772a060fd07b02073248ed080a4a900a2b5ba8e9c10a21d656d02646455806

Content hash

sha256:74772a060fd07b02073248ed080a4a900a2b5ba8e9c10a21d656d02646455806

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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