The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-depth-first-versus-breadth-first-2007

stable pending witness
2026-05-29 05:57:34 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of depth-first versus breadth-first search? Answer concisely in 2-3 sentences.
103 chars

Generation

Depth-first search (DFS) explores as far as possible along each branch before backtracking, using less memory but potentially missing shorter paths, while breadth-first search (BFS) explores all neighbors at the current depth before moving deeper, guaranteeing the shortest path in unweighted graphs but requiring more memory. DFS is preferred for memory-constrained scenarios and problems like maze solving or topological sorting, while BFS is ideal when finding the shortest path or nearest solution is critical.
34 tokens in · 107 tokens out · 8301 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
8307.9 ms
Base LLM
8300.5 ms
Verifiers
0.1 ms
Gates
0.1 ms
Cost
$0.0017

Trail

05:57:34 received prompt_chars=103 verifiers=['scripture_anchors', 'theology_doctrine']
05:57:34 red_gate decision=pass reason=no disqualifying input patterns detected
05:57:43 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=34 tokens_out=107 latency_ms=8300.5 cost_usd=0.0017
05:57:43 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:57:43 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:57:43 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:57:43 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:57:43 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:57:43 signed hash_algo=sha256 hash=sha256:f0f5589c5ea6f8add86cff6a801d4dbdeb5e36d83d671a90cf65e6347f39d761

Content hash

sha256:f0f5589c5ea6f8add86cff6a801d4dbdeb5e36d83d671a90cf65e6347f39d761

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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