The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-dynamic-programming-answer-conci-31d2

stable pending witness
2026-05-29 02:38:58 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of dynamic programming? Answer concisely in 2-3 sentences.
83 chars

Generation

Dynamic programming is a powerful algorithmic technique that solves complex problems by breaking them down into simpler overlapping subproblems and storing their solutions to avoid redundant calculations. This approach dramatically improves efficiency, reducing exponential time complexity to polynomial time for many problems. It's essential for optimization problems in fields like computer science, operations research, and economics, where finding optimal solutions among many possibilities is critical.
27 tokens in · 86 tokens out · 3012 ms · $0.0014

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
3034.6 ms
Base LLM
3011.6 ms
Verifiers
0.1 ms
Gates
0.1 ms
Cost
$0.0014

Trail

02:38:58 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
02:38:58 red_gate decision=pass reason=no disqualifying input patterns detected
02:39:01 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=86 latency_ms=3011.6 cost_usd=0.0014
02:39:01 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:39:01 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:39:01 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:39:01 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:39:01 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:39:01 signed hash_algo=sha256 hash=sha256:3415224f7110ac0a32a0cf1efeb9e7c108003f9a83025b368ce4f5126a9b17d3

Content hash

sha256:3415224f7110ac0a32a0cf1efeb9e7c108003f9a83025b368ce4f5126a9b17d3

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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