The Mechanism · Gated-generation receipt

gen-explain-dynamic-programming-as-you-would-to-a-capable-studen-4606

stable pending witness
2026-05-29 04:57:28 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain dynamic programming as you would to a capable student, in 3-4 sentences.
80 chars

Generation

Dynamic programming is an optimization technique where you solve a complex problem by breaking it down into simpler overlapping subproblems, solving each subproblem just once, and storing the results for reuse. Instead of recalculating the same values repeatedly (like naive recursion does), you build up solutions from smaller pieces, either bottom-up using a table or top-down with memoization. The key is recognizing when a problem has optimal substructure (the optimal solution contains optimal solutions to subproblems) and overlapping subproblems (the same subproblems appear multiple times). Classic examples include finding Fibonacci numbers efficiently, calculating shortest paths, or solving the knapsack problem.
27 tokens in · 152 tokens out · 3999 ms · $0.0024

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
4006.4 ms
Base LLM
3999.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

04:57:28 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
04:57:28 red_gate decision=pass reason=no disqualifying input patterns detected
04:57:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=152 latency_ms=3999.2 cost_usd=0.0024
04:57:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:57:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:57:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:57:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:57:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:57:32 signed hash_algo=sha256 hash=sha256:c9c97e4d93903b6b1040308a6a5cc8a9f9a732bff86e4526c5a951bb9db908a8

Content hash

sha256:c9c97e4d93903b6b1040308a6a5cc8a9f9a732bff86e4526c5a951bb9db908a8

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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