The Mechanism · Gated-generation receipt

gen-state-dynamic-programming-precisely-and-explain-why-it-matte-016f

stable pending witness
2026-05-29 04:18:04 UTC · anthropic/claude-sonnet-4-5

Prompt

State dynamic programming precisely and explain why it matters in 2-3 sentences.
80 chars

Generation

# Dynamic Programming **Precise Definition:** Dynamic programming is an algorithmic technique that solves complex problems by breaking them into overlapping subproblems, solving each subproblem once, and storing their solutions (memoization) to avoid redundant computation. **Why It Matters:** DP transforms exponential-time problems into polynomial-time solutions by exploiting optimal substructure—where optimal solutions contain optimal solutions to subproblems. This makes previously intractable problems (like certain optimization and counting problems) computationally feasible, with applications spanning from route planning and resource allocation to bioinformatics and AI.
24 tokens in · 136 tokens out · 4717 ms · $0.0021

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
4724.4 ms
Base LLM
4717.1 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0021

Trail

04:18:04 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
04:18:04 red_gate decision=pass reason=no disqualifying input patterns detected
04:18:09 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=136 latency_ms=4717.1 cost_usd=0.0021
04:18:09 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:18:09 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:18:09 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:18:09 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:18:09 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:18:09 signed hash_algo=sha256 hash=sha256:334af52cbdbc5bcf72171fa3a0dbd44a08599dd879f779ada0342e7d7878fe36

Content hash

sha256:334af52cbdbc5bcf72171fa3a0dbd44a08599dd879f779ada0342e7d7878fe36

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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