The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-finite-automaton-state-any-key-fo-ddfe

stable pending witness
2026-05-29 05:12:18 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a finite automaton. State any key formula.
68 chars

Generation

A finite automaton is a mathematical model of computation consisting of a finite set of states, with transitions between states triggered by input symbols. It processes input sequentially, moving from state to state according to a transition function, and accepts or rejects the input based on whether it ends in an accepting state. **Key formula:** A deterministic finite automaton (DFA) is formally defined as a 5-tuple: **M = (Q, Σ, δ, q₀, F)** where Q is a finite set of states, Σ is the input alphabet, δ: Q × Σ → Q is the transition function, q₀ ∈ Q is the initial state, and F ⊆ Q is the set of accepting states.
26 tokens in · 171 tokens out · 3642 ms · $0.0026

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
3654.6 ms
Base LLM
3642.2 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0026

Trail

05:12:18 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
05:12:18 red_gate decision=pass reason=no disqualifying input patterns detected
05:12:21 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=171 latency_ms=3642.2 cost_usd=0.0026
05:12:21 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:12:21 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:12:21 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:12:21 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:12:21 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:12:21 signed hash_algo=sha256 hash=sha256:bde3a6f874b265bfb94d89d314127af3200252f0bd9131eead10591ca4699db8

Content hash

sha256:bde3a6f874b265bfb94d89d314127af3200252f0bd9131eead10591ca4699db8

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