The Mechanism · Gated-generation receipt

gen-define-the-principle-of-compositionality-and-give-one-short-3c61

stable pending witness
2026-05-29 07:08:24 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the principle of compositionality and give one short worked example.
75 chars

Generation

# Principle of Compositionality **Definition:** The principle of compositionality (also called Frege's principle) states that the meaning of a complex expression is determined by the meanings of its constituent parts and the way they are syntactically combined. In short: **Whole meaning = parts' meanings + composition rules** ## Worked Example **Sentence:** "Black cats sleep" **Breakdown:** - **"black"** = the property of being black - **"cats"** = the set of all cats - **"sleep"** = the property of sleeping **Composition:** 1. "black" + "cats" → the set of cats that are black (adjective-noun combination) 2. "black cats" + "sleep" → the proposition that black cats have the property of sleeping (subject-predicate combination) **Result:** We understand "Black cats sleep" by combining our knowledge of what "black," "cats," and "sleep" mean individually, plus the grammatical rules for how adjectives modify nouns and predicates apply to subjects. This allows us to understand novel sentences we've never encountered before, as long as we know the parts and the rules.
21 tokens in · 264 tokens out · 6641 ms · $0.004

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
6648.3 ms
Base LLM
6641.5 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.004

Trail

07:08:24 received prompt_chars=75 verifiers=['scripture_anchors', 'theology_doctrine']
07:08:24 red_gate decision=pass reason=no disqualifying input patterns detected
07:08:31 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=21 tokens_out=264 latency_ms=6641.5 cost_usd=0.004
07:08:31 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:08:31 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:08:31 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:08:31 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:08:31 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:08:31 signed hash_algo=sha256 hash=sha256:5f31574736d82e09fc518f1b67d60fdd781f2f62824af037ab7387f468303994

Content hash

sha256:5f31574736d82e09fc518f1b67d60fdd781f2f62824af037ab7387f468303994

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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