The Mechanism · Gated-generation receipt

gen-define-a-truth-table-and-give-one-short-worked-example-c27c

stable pending witness
2026-05-29 07:02:08 UTC · anthropic/claude-sonnet-4-5

Prompt

Define a truth table and give one short worked example.
55 chars

Generation

# Truth Table ## Definition A **truth table** is a mathematical table that shows all possible truth values (True/False, or 1/0) for a logical expression based on all possible combinations of truth values for its input variables. ## Worked Example Let's create a truth table for the expression: **(P AND Q) OR (NOT P)** **Step 1:** Identify variables: P and Q **Step 2:** List all possible combinations (2² = 4 rows) **Step 3:** Evaluate each component, then the final expression | P | Q | NOT P | P AND Q | (P AND Q) OR (NOT P) | |---|---|-------|---------|---------------------| | T | T | F | T | **T** | | T | F | F | F | **F** | | F | T | T | F | **T** | | F | F | T | F | **T** | **Result:** The expression is true in 3 out of 4 cases (all cases except when P is true and Q is false).
18 tokens in · 273 tokens out · 5325 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
5331.9 ms
Base LLM
5324.9 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0041

Trail

07:02:08 received prompt_chars=55 verifiers=['scripture_anchors', 'theology_doctrine']
07:02:08 red_gate decision=pass reason=no disqualifying input patterns detected
07:02:13 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=18 tokens_out=273 latency_ms=5324.9 cost_usd=0.0041
07:02:13 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:02:13 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:02:13 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:02:13 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:02:13 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:02:13 signed hash_algo=sha256 hash=sha256:79ea0092ecbff2f923012dbd655216d6b6be6fe5cc7e6d7e060835591edfda9a

Content hash

sha256:79ea0092ecbff2f923012dbd655216d6b6be6fe5cc7e6d7e060835591edfda9a

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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