The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-context-free-grammar-in-language-c4d9

hold
2026-05-29 02:44:50 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a context-free grammar in language. State any key formula.
84 chars

Generation

A context-free grammar (CFG) is a formal system for describing the syntax of languages, consisting of a set of production rules that specify how symbols can be replaced with combinations of terminal symbols (actual characters/words) and non-terminal symbols (variables). Each rule has the form **A → α**, where A is a single non-terminal symbol and α is a string of terminals and/or non-terminals. CFGs are "context-free" because a non-terminal can be replaced regardless of what symbols surround it. They are widely used to define programming languages and can describe nested structures like balanced parentheses, but cannot capture all language patterns (for example, they cannot describe the language {aⁿbⁿcⁿ | n ≥ 0}).
29 tokens in · 170 tokens out · 5463 ms · $0.0026

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
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
5469.9 ms
Base LLM
5462.6 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0026

Trail

02:44:50 received prompt_chars=84 verifiers=['scripture_anchors', 'theology_doctrine']
02:44:50 red_gate decision=pass reason=no disqualifying input patterns detected
02:44:55 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=170 latency_ms=5462.6 cost_usd=0.0026
02:44:55 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:44:55 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:44:55 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:44:55 way_gate decision=wait reason=output contains coercion language: ['regardless of']
02:44:55 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:44:55 signed hash_algo=sha256 hash=sha256:530da9033b1bc385476456e9c731d8800b82cda04d455181a68e972fc760ef20

Content hash

sha256:530da9033b1bc385476456e9c731d8800b82cda04d455181a68e972fc760ef20

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.

Bring another teaching · Run a discernment