The Mechanism · Gated-generation receipt

gen-explain-propositional-logic-as-you-would-to-a-capable-studen-348d

stable pending witness
2026-05-29 04:34:04 UTC · anthropic/claude-sonnet-4-5

Prompt

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

Generation

Propositional logic is a formal system for reasoning about statements that are either true or false. You combine simple propositions (like "it is raining" or "the ground is wet") using logical connectives such as AND, OR, NOT, and IF-THEN to form complex statements. The key idea is that the truth value of a complex statement depends entirely on the truth values of its parts and the connectives used, following precise rules. This allows you to determine whether arguments are valid by analyzing their logical structure rather than their content.
29 tokens in · 115 tokens out · 6257 ms · $0.0018

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
6267.5 ms
Base LLM
6256.6 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0018

Trail

04:34:04 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
04:34:04 red_gate decision=pass reason=no disqualifying input patterns detected
04:34:10 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=115 latency_ms=6256.6 cost_usd=0.0018
04:34:10 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:34:10 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:34:10 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:34:10 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:34:10 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:34:10 signed hash_algo=sha256 hash=sha256:5e3bf2f5396e568ea8a9494e2b55f70d050b4e93be0093103e3213d9fb996c30

Content hash

sha256:5e3bf2f5396e568ea8a9494e2b55f70d050b4e93be0093103e3213d9fb996c30

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