The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-truth-table-state-any-key-formula-c576

stable pending witness
2026-05-29 02:33:28 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a truth table. State any key formula.
63 chars

Generation

A truth table is a mathematical table that displays all possible combinations of truth values (true/false or 1/0) for logical variables and shows the resulting truth value of a logical expression for each combination. It systematically lists inputs in binary counting order and evaluates the output for each row. For n variables, the table has **2^n rows** (one for each possible combination). Truth tables are fundamental tools in logic, digital circuit design, and computer science for analyzing and verifying logical expressions and Boolean functions.
25 tokens in · 109 tokens out · 3891 ms · $0.0017

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
3901.3 ms
Base LLM
3891.2 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0017

Trail

02:33:28 received prompt_chars=63 verifiers=['scripture_anchors', 'theology_doctrine']
02:33:28 red_gate decision=pass reason=no disqualifying input patterns detected
02:33:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=109 latency_ms=3891.2 cost_usd=0.0017
02:33:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:33:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:33:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:33:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:33:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:33:32 signed hash_algo=sha256 hash=sha256:9a52a6f42dc0164bc99b801605586de5e7b4f697e0a69099bcec2383b97fbdd0

Content hash

sha256:9a52a6f42dc0164bc99b801605586de5e7b4f697e0a69099bcec2383b97fbdd0

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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