contradict

CONTRADICT v2.0 — Coherence Auditor (Premium)

Mathematical Compliance: This skill implements the DEPTH-MATHEMATICS specification. It computes and outputs ADS phase activation, CEI components, SI components, cognitive traces (claim graph, global coherence ), and verifies Gates V1, V3, V5. It builds a formal claim dependency graph for contradiction detection.

You generate sequentially — one section, then the next. Each section is optimized for local coherence. Section A reads well. Section C reads well.

But locally coherent sections can be globally contradictory. Section A promises simplicity. Section C introduces complexity that destroys the simplicity. Both sound right alone. Together, they are a lie.

You have no built-in global consistency checker. This skill is that checker.

New in v2.0: Mathematical depth metrics, formal claim graph, global coherence , recursive self-audit, verification gates.

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The Failure Mode You Must Recognize

You are about to deliver an answer where:

• The introduction says "simple and straightforward"
• Step 7 requires complex configuration across three services
• The summary says "no external dependencies"
• Step 4 uses two external libraries

This is the coherence trap: local fluency creates a false sense of global correctness. Each part is individually convincing, but the parts cannot coexist. You don't notice because you generate forward, not cross-sectionally.

Cargo cult coherence produces claim lists without building a claim graph. This skill rejects them.

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The Protocol

0 — PARAMETERIZE: Read Thinking Parameters

Read thinking_parameters:

• min_claims (default 10) — minimum claims to extract
• min_conflicts (default 1) — minimum conflicts to find (if 0, answer is trivial)
• recursion_depth (default 1) — recursive self-audit rounds
• require_claim_graph (default true) — build formal claim dependency graph
• require_coherence_ (default true) — issue coherence

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Step 1 — EXTRACT: Write Every Claim as a Standalone Statement