The Mechanism · Gated-generation receipt

gen-briefly-explain-a-truth-table-and-one-common-misconception-a-cffc

stable pending witness
2026-05-29 03:41:05 UTC · anthropic/claude-sonnet-4-5

Prompt

Briefly explain a truth table and one common misconception about it.
68 chars

Generation

# Truth Table A **truth table** is a systematic way to list all possible combinations of truth values (true/false) for logical statements and show the resulting truth value of a compound expression. Each row represents one possible scenario, and columns show the truth values of individual propositions and the final logical expression. **Example:** For "P AND Q" ``` P | Q | P AND Q T | T | T T | F | F F | T | F F | F | F ``` ## Common Misconception **"More true values in the output column means the statement is 'more true' or 'better'"** A truth table simply shows *when* a statement is true or false under different conditions—it doesn't rank statements by quality or strength. A statement that's true in only one scenario isn't inferior to one that's true in three scenarios; they're just logically different. For instance, "P AND Q" being true in 1 out of 4 cases doesn't make it weaker than "P OR Q" which is true in 3 out of 4 cases—they simply represent different logical relationships.
21 tokens in · 272 tokens out · 7661 ms · $0.0041

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
7671.0 ms
Base LLM
7661.3 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0041

Trail

03:41:05 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
03:41:05 red_gate decision=pass reason=no disqualifying input patterns detected
03:41:12 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=21 tokens_out=272 latency_ms=7661.3 cost_usd=0.0041
03:41:12 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:41:12 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:41:12 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:41:12 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:41:12 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:41:12 signed hash_algo=sha256 hash=sha256:0c47f04c7ea79c63e15eba29d4b85a911bd1127a4ab6c6cab8f8e5db6bb41f67

Content hash

sha256:0c47f04c7ea79c63e15eba29d4b85a911bd1127a4ab6c6cab8f8e5db6bb41f67

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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